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Kap. 43
Der Spezialfall: fallende Produktivität der ersten Anlage
The reader arrives from a falling-price chapter carrying the rule that rent follows the differences among soils. Here Engels takes up the third case in his own reconstruction: a rising governing production price. What gets settled is the premise and the exclusion — that this special case, strictly, is not differential rent II's object, being differential rent I's change acting back on II.
{Steigender Produktionspreis setzt voraus, daß die Produktivität der geringsten, keine Rente zahlenden Bodenqualität abnimmt. Nur wenn die auf A gelegten 2 1/2 Pfd.St. weniger als 1 qr. oder die 5 Pfd.St. weniger als 2 qrs. produzieren oder wenn ein noch schlechterer Boden als A in Bebauung genommen werden muß, kann der als regulierend angenommene Produktionspreis über 3 Pfd.St. per qr. steigen.
what a rising price presupposes

A rising price of production presupposes that productivity falls on the poorest land — the land that pays no rent. The production price we treat as the governing one can go above £3 per qr only in one of three cases: the £2 1/2 put into A yields less than 1 qr, or the £5 yields less than 2 qrs, or a soil even worse than A has to be brought into cultivation.

Bei gleichbleibender oder gar steigender Produktivität der zweiten Kapitalanlage wäre dies nur möglich, wenn die Produktivität der ersten Kapitalanlage von 2 1/2 Pfd.St. abgenommen hätte. Dieser Fall kommt oft genug vor. Z.B. wenn bei oberflächlichem Pflügen die erschöpfte obere Ackerkrume bei der alten Bewirtschaftung abnehmende Erträge gibt und dann der durch tieferes Pflügen emporgeworfne Untergrund unter rationeller Behandlung wieder höhere Erträge als früher liefert. Aber dieser Spezialfall gehört, genaugenommen, nicht hierher. Das Fallen der Produktivität der ersten Kapitalanlage von 2 1/2 Pfd.St. bedingt für die bessern Bodenarten, selbst wenn dort die Verhältnisse analog angenommen werden, ein Fallen der Differentialrente I; hier aber betrachten wir nur die Differentialrente II. Da aber der vorliegende Spezialfall nicht vorkommen kann, ohne daß die Differentialrente II bereits als bestehend vorausgesetzt wird, und in der Tat die Rückwirkung einer Modifikation von Differentialrente I auf II darstellt, geben wir ein Beispiel davon.
the excluded case, shown anyway

If the second capital investment's productivity stays the same or even rises, this would be possible only if the productivity of the first investment of £2 1/2 had fallen. That case comes up often enough. Shallow ploughing, say: the used-up topsoil gives smaller and smaller yields under the old way of farming, and then deeper ploughing throws up subsoil which, farmed properly, yields more than before. Strictly speaking, though, this special case does not belong here. When the first investment of £2 1/2 falls off in productivity, the better soils see differential rent I fall too — even if we assume things there run the same way. Here, though, we are looking only at differential rent II. But we give an example of it anyway, because this case cannot occur unless differential rent II is already assumed to exist, and because it really is a change in differential rent I working back on differential rent II.

Die Geldrente wie der Geldertrag sind dieselben wie in Tabelle II. Der gestiegne regulierende Produktionspreis ersetzt genau, was an der Quantität des Produkts ausgefallen ist; da beide in umgekehrtem Verhältnis variieren, ist selbstverständlich, daß das Produkt beider dasselbe bleibt.
money rent and yield unchanged

The money rent and the money yield are the same as in Table II. The governing production price has risen, and it exactly replaces what the output lost in quantity; and since the two vary in inverse proportion, it is obvious that price multiplied by quantity stays the same.

Tabelle VII
Bodenart Kapitalanlage Profit Produktionskosten Produkt Verkaufspreis Ertrag Kornrente Geldrente Rentrate
Acres Pfd.St. Pfd.St. Pfd.St. qrs. Pfd.St. Pfd.St. qrs. Pfd.St.
A 1 2 1/2 + 2 1/2 1 6 1/2 +1 1/4 =1 3/4 3 3/7 6 0 0 0%
B 1 2 1/2 + 2 1/2 1 6 1+2 1/2 =3 1/2 3 3/7 12 1 3/4 6 120%
C 1 2 1/2 + 2 1/2 1 6 1 1/2 +3 3/4 =5 1/4 3 3/7 18 3 1/2 12 240%
D 1 2 1/2 + 2 1/2 1 6 2+5=7 3 3/7 24 5 1/4 18 360%
20 17 1/2 60 10 1/2 36 240%
Table VII
Type of land Acres Invested capital (£) Profit (£) Price of prod. (£) Output (qrs) Selling price (£) Proceeds (£) Corn rent (qrs) Money rent (£) Rate of rent
A 1 2 1/2 + 2 1/2 1 6 1/2 + 1 1/4 = 1 3/4 3 3/7 6 0 0 0
B 1 2 1/2 + 2 1/2 1 6 1 + 2 1/2 = 3 1/2 3 3/7 12 1 3/4 6 120%
C 1 2 1/2 + 2 1/2 1 6 1 1/2 + 3 3/4 = 5 1/4 3 3/7 18 3 1/2 12 240%
D 1 2 1/2 + 2 1/2 1 6 2 + 5 = 7 3 3/7 24 5 1/4 18 360%
20 17 1/2 60 10 1/2 36 240%
Im obigen Fall war angenommen, daß die Produktivkraft der zweiten Kapitalanlage höher sei als die ursprüngliche Produktivität der ersten Anlage. Die Sache bleibt sich gleich, wenn wir für die zweite Anlage nur dieselbe Produktivität ansetzen, die der ersten ursprünglich zukam, wie in folgender
Same result, weaker first investment

In the case above, the assumption was that the second capital investment was more productive than the first investment originally was. The result comes out the same if we give the second investment only the productivity that the first had at the start, as in the table below.

Tabelle VIII
Bodenart Kapitalanlage Profit Produktionskosten Produkt Verkaufspreis Ertrag Rente Rate des Surplusprofits Korn Geld
Acres Pfd.St. Pfd.St. Pfd.St. qrs. Pfd.St. Pfd.St. qrs. Pfd.St.
A 1 2 1/2 +2 1/2 =5 1 6 1/2 +1=1 1/2 4 6 0 0 0%
B 1 2 1/2 +2 1/2 =5 1 6 1+2=3 4 12 1 1/2 6 120%
C 1 2 1/2 +2 1/2 =5 1 6 1 1/2 +3=4 1/2 4 18 3 12 240%
D 1 2 1/2 +2 1/2 =5 1 6 2+4=6 4 24 4 1/2 18 360%
20 15 60 9 36 240%
Table VIII
Type of land Acres Invested capital (£) Profit (£) Price of prod. (£) Output (qrs) Selling price (£) Proceeds (£) Rent Rate of surplus profit
in corn (qrs) in money (£)
A 1 2 1/2 + 2 1/2 = 5 1 6 1/2 + 1 = 1 1/2 4 6 0 0 0
B 1 2 1/2 + 2 1/2 = 5 1 6 1 + 2 = 3 4 12 1 1/2 6 120%
C 1 2 1/2 + 2 1/2 = 5 1 6 1 1/2 + 3 = 4 1/2 4 18 3 12 240%
D 1 2 1/2 + 2 1/2 = 5 1 6 2 + 4 = 6 4 24 4 1/2 18 360%
20 15 60 9 36 240%
Auch hier bedingt der in demselben Verhältnis steigende Produktionspreis, daß die Abnahme in der Produktivität für Ertrag wie Geldrente voll aufgewogen wird.
the compensation, restated

Here too, the production price rises in the same proportion, and this fully makes up for the fall in productivity — for the money yield and for the money rent alike.

Kap. 43
Dritter Fall rein: fallende Produktivität der zweiten Anlage
Behind us stands the special case Engels set aside: the first investment's productivity falls, so differential rent I acts back on II, and two tables show the risen price compensating in money. The third case did not open here; it opened with that case. What appears here is the pure form: the first investment holds constant while only the second investment's productivity falls, so differential rent I is untouched and only the differential rent II share changes. Two constructed examples halve that productivity, then quarter it; product and selling price move inversely, so money rent, total yield and the rate of rent hold while the corn rent falls. This is Engels's reconstruction; Marx's draft gave the case only its title.
Rein tritt der dritte Fall nur hervor bei fallender Produktivität der zweiten Kapitalanlage, während die der ersten, wie dies für den ersten und zweiten Fall überall angenommen, konstant bleibt. Hier wird Differentialrente I nicht berührt, die Veränderung findet nur statt mit dem aus der Differentialrente II entspringenden Anteil. Wir geben zwei Beispiele; im ersten sei die Produktivität der zweiten Kapitalanlage auf 1/2, in der zweiten auf 1/4 reduziert.
the pure case, stated

The third case comes out in its pure form only when the second capital investment's productivity falls, while the first investment keeps producing exactly as before — the same assumption that was in force everywhere in the first and second cases. In that setup differential rent I is not touched at all. The change happens only in the share that comes from differential rent II. We give two examples: suppose the second investment's productivity cut to a half in the first, and to a quarter in the second.

Tabelle IX
Bodenart Kapitalanlage Profit Produktionskosten Produkt Verkaufspreis Ertrag Rente Rate des Surplusprofits Korn Geld
Acres Pfd.St. Pfd.St. Pfd.St. qrs. Pfd.St. Pfd.St. qrs. Pfd.St.
A 1 2 1/2 +2 1/2 =5 1 6 1+ 1/2 =1 1/2 4 6 0 0 0%
B 1 2 1/2 +2 1/2 =5 1 6 2+1=3 4 12 1 1/2 6 120%
C 1 2 1/2 +2 1/2 =5 1 6 3+1 1/2 =4 1/2 4 18 3 12 240%
D 1 2 1/2 +2 1/2 =5 1 6 4+2=6 4 24 4 1/2 18 360%
20 15 60 9 36 240%
Table IX
Type of land Acres Invested capital (£) Profit (£) Price of prod. (£) Output (qrs) Selling price (£) Proceeds (£) Rent Rate of rent
in corn (qrs) in money (£)
A 1 2 1/2 + 2 1/2 = 5 1 6 1 + 1/2 = 1 1/2 4 6 0 0 0
B 1 2 1/2 + 2 1/2 = 5 1 6 2 + 1 = 3 4 12 1 1/2 6 120%
C 1 2 1/2 + 2 1/2 = 5 1 6 3 + 1 1/2 = 4 1/2 4 18 3 12 240%
D 1 2 1/2 + 2 1/2 = 5 1 6 4 + 2 = 6 4 24 4 1/2 18 360%
20 15 60 9 36 240%
Tabelle IX ist dieselbe wie Tabelle VIII, nur daß die Abnahme der Produktivität in VIII auf die erste, in IX auf die zweite Kapitalanlage fällt.
IX: same, but the decline moves

Table IX is the same as Table VIII, with one difference: in VIII the fall in productivity lands on the first capital investment, and in IX it lands on the second.

Tabelle X
Bodenart Kapitalanlage Profit Produktionskosten Produkt Verkaufspreis Ertrag Rente Rate des Surplusprofits Korn Geld
Acres Pfd.St. Pfd.St. Pfd.St. qrs. Pfd.St. Pfd.St. qrs. Pfd.St.
A 1 2 1/2 +2 1/2 =5 1 6 1+ 1/4 =1 1/4 4 4/5 6 0 0 0%
B 1 2 1/2 +2 1/2 =5 1 6 2+ 1/2 =2 1/2 4 4/5 12 1 1/4 6 120%
C 1 2 1/2 +2 1/2 =5 1 6 3+ 3/4 =3 3/4 4 4/5 18 2 1/2 12 240%
D 1 2 1/2 +2 1/2 =5 1 6 4+1=5 4 4/5 24 3 3/4 18 360%
20 24 12 1/2 60 7 1/2 36 240%
Table X
Type of land Acres Invested capital (£) Profit (£) Price of prod. (£) Output (qrs) Selling price (£) Proceeds (£) Rent Rate of rent
in corn (qrs) in money (£)
A 1 2 1/2 + 2 1/2 = 5 1 6 1 + 1/4 = 1 1/4 4 4/5 6 0 0 0
B 1 2 1/2 + 2 1/2 = 5 1 6 2 + 1/2 = 2 1/2 4 4/5 12 1 1/4 6 120%
C 1 2 1/2 + 2 1/2 = 5 1 6 3 + 3/4 = 3 3/4 4 4/5 18 2 1/2 12 240%
D 1 2 1/2 + 2 1/2 = 5 1 6 4 + 1 = 5 4 4/5 24 3 3/4 18 360%
20 24 12 1/2 60 7 1/2 36 240%
Auch in dieser Tabelle bleiben Gesamtertrag, Geldrental und Rentrate dieselben wie in Tabelle II, VII und VIII, weil abermals Produkt und Verkaufspreis im umgekehrten Verhältnis variiert haben, die Kapitalanlage aber dieselbe geblieben ist.
totals hold: price and product offset

In this table too, the total yield, the money rental and the rate of rent stay the same as in Tables II, VII and VIII. The reason: once again the product and the sale price varied in inverse proportion, while the capital investment stayed the same.

Kap. 43
Ein geringerer Boden a tritt in Konkurrenz
Behind us stands the case where rising price came with unchanged money rent because price and product moved inversely. What remains is the other route to a rising price: a worse soil entering competition. The reader arrives carrying the difference between a price rise that compensates lost yield and one that reflects a new worst soil setting the price. What the argument settles is how the entry of a changes the baseline itself: formerly rentless A bears rent, a new differential rent I forms, and differential rent II is worked out on that altered basis. Engels's reconstruction carries the argument.
Wie steht es aber in dem andern, bei steigendem Produktionspreis möglichen Fall, nämlich, wenn ein bisher die Bebauung nicht lohnender, geringrer Boden nun in Bebauung genommen wird?
the other rising-price case

But how do things stand in the other case in which a rising price of production is possible — namely, if an inferior soil that had not been worth cultivating now comes into cultivation?

Nehmen wir an, ein solcher Boden, den wir mit a bezeichnen wollen, käme in Konkurrenz. Dann würde der bisher rentelose Boden A eine Rente abwerfen, und die obigen Tabellen VII, VIII und X würden dann folgende Gestalt annehmen:
assumption: soil a enters

Suppose a soil like that — we will call it a — comes into competition. Then soil A, which has borne no rent up to now, would yield a rent, and Tables VII, VIII and X above would take on the following shape:

Tabelle VIIa
Bodenart Kapital Profit Produktionskosten Produkt Verkaufspreis Ertrag Rente Steigerung
Acres Pfd.St. Pfd.St. Pfd.St. qrs. Pfd.St. Pfd.St. qrs. Pfd.St.
a 1 5 1 6 1 1/2 4 6 0 0 0
A 1 2 1/2 +2 1/2 1 6 1/2 +1 1/4 =1 3/4 4 7 1/4 1 1
B 1 2 1/2 +2 1/2 1 6 1+2 1/2 =3 1/2 4 14 2 8 1+7
C 1 2 1/2 +2 1/2 1 6 1 1/2 +3 3/4 =5 1/4 4 21 3 3/4 15 1+2×7
D 1 2 1/2 +2 1/2 1 6 2+5=7 4 28 5 1/2 22 1+3×7
30 19 76 11 1/2 46
Table VIIa
Type of land Acres Capital (£) Profit (£) Price of production (£) Output (qrs) Selling price (£) Proceeds (£) Rent Increase
qrs £
a 1 5 1 6 1 1/2 4 6 0 0 0
A 1 2 1/2 + 2 1/2 1 6 1/2 + 1 1/4 = 1 3/4 4 7 1/4 1 1
B 1 2 1/2 + 2 1/2 1 6 1 + 2 1/2 = 3 1/2 4 14 2 8 1 + 7
C 1 2 1/2 + 2 1/2 1 6 1 1/2 + 3 3/4 = 5 1/4 4 21 3 3/4 15 1 + 2 x 7
D 1 2 1/2 + 2 1/2 1 6 2 + 5 = 7 4 28 5 1/2 22 1 + 3 x 7
30 19 76 11 1/2 46
Tabelle VIIIa
Bodenart Kapital Profit Produktionskosten Produkt Verkaufspreis Ertrag Rente Steigerung
Acres Pfd.St. Pfd.St. Pfd.St. qrs. Pfd.St. Pfd.St. qrs. Pfd.St.
a 1 5 1 6 1 1/4 4 4/5 6 0 0 0
A 1 2 1/2 +2 1/2 1 6 1/2 +1=1 1/2 4 4/5 7 1/5 1/4 1 1/5 1 1/5
B 1 2 1/2 +2 1/2 1 6 1+2=3 4 4/5 14 2/5 1 3/4 8 2/5 1 1/5 +7 1/5
C 1 2 1/2 +2 1/2 1 6 1 1/2 +3=4 1/2 4 4/5 21 3/5 3 1/4 15 3/5 1 1/5 +2×7 1/5
D 1 2 1/2 +2 1/2 1 6 2+4=6 4 4/5 28 4/5 4 3/4 22 4/5 1 1/5 +3×7 1/5
5 30 16 1/4 78 10 48
Table VIIIa
Type of land Acres Capital (£) Profit (£) Price of production (£) Output (qrs) Selling price (£) Proceeds (£) Rent Increase
qrs £
a 1 5 1 6 1 1/4 4 4/5 6 0 0 0
A 1 2 1/2 + 2 1/2 1 6 1/2 + 1 = 1 1/2 4 4/5 7 1/5 1/4 1 1/5 1 1/5
B 1 2 1/2 + 2 1/2 1 6 1 + 2 = 3 4 4/5 14 2/5 1 3/4 8 2/5 1 1/5 + 7 1/5
C 1 2 1/2 + 2 1/2 1 6 1 1/2 + 3 = 4 1/2 4 4/5 21 3/5 3 1/4 15 3/5 1 1/5 + 2 x 7 1/5
D 1 2 1/2 + 2 1/2 1 6 2 + 4 = 6 4 4/5 28 4/5 4 3/4 22 4/5 1 1/5 + 3 x 7 1/5
5 30 16 1/4 78 10 48
Tabelle Xa
Bodenart Kapital Profit Produktionskosten Produkt Verkaufspreis Ertrag Rente Steigerung
Acres Pfd.St. Pfd.St. Pfd.St. qrs. Pfd.St. Pfd.St. qrs. Pfd.St.
a 1 5 1 6 1 1/8 5 1/3 6 0 0 0
A 1 2 1/2 +2 1/2 1 6 1+ 1/4 =1 1/4 5 1/3 6 2/3 1/8 2/3 2/3
B 1 2 1/2 +2 1/2 1 6 2+ 1/2 =2 1/2 5 1/3 13 1/3 1 3/8 7 1/3 2/3 +6 2/3
C 1 2 1/2 +2 1/2 1 6 3+ 3/4 =3 3/4 5 1/3 20 2 5/8 14 2/3 +2×6 2/3
D 1 2 1/2 +2 1/2 1 6 4+1=5 5 1/3 26 2/3 3 7/8 20 2/3 2/3 +3×6 2/3
30 13 5/8 72 2/3 8 42 2/3
Table Xa
Type of land Acres Capital (£) Profit (£) Price of production (£) Output (qrs) Selling price (£) Proceeds (£) Rent Increase
qrs £
a 1 5 1 6 1 1/8 5 1/3 6 0 0 0
A 1 2 1/2 + 2 1/2 1 6 1 + 1/4 = 1 1/4 5 1/3 6 2/3 1/8 2/3 2/3
B 1 2 1/2 + 2 1/2 1 6 2 + 1/2 = 2 1/2 5 1/3 13 1/3 1 3/8 7 1/3 2/3 + 6 2/3
C 1 2 1/2 + 2 1/2 1 6 3 + 3/4 = 3 3/4 5 1/3 20 2 5/8 14 2/3 + 2 x 6 2/3
D 1 2 1/2 + 2 1/2 1 6 4 + 1 = 5 5 1/3 26 2/3 3 7/8 20 2/3 2/3 + 3 x 6 2/3
30 13 5/8 72 2/3 8 42 2/3
Durch die Einschiebung von Boden a entsteht eine neue Differentialrente I; auf dieser neuen Grundlage entwickelt sich dann die Differentialrente II ebenfalls in veränderter Gestalt. Der Boden a hat in jeder der drei obigen Tabellen eine verschiedne Fruchtbarkeit; die Reihe der proportionell steigenden Fruchtbarkeiten beginnt erst mit A. Demgemäß verhält sich auch die Reihe der steigenden Renten. Die Rente des schlechtesten Rente tragenden, früher rentelosen Bodens bildet eine Konstante, die allen höheren Renten einfach zuaddiert wird; erst nach Abzug dieser Konstanten tritt bei den höheren Renten die Reihe der Differenzen klar hervor und ihr Parallelismus mit der Fruchtbarkeitsreihe der Bodenarten. In allen Tabellen verhalten sich die Fruchtbarkeiten, von A bis D, wie 1 : 2 : 3 : 4 und dementsprechend die Renten:
new rent I, and the constant

Bringing soil a into the picture creates a new differential rent I, and on this new basis differential rent II then develops too, in a changed form.

Soil a is fertile to a different degree in each of the three tables above. The run of fertilities that rise in proportion starts only at A, and the run of rising rents behaves accordingly.

The rent of the worst soil that carries rent, which carried none before, forms a constant. That constant is simply added on to every higher rent. Only once it is taken off do the differences among the higher rents come out clearly, and with them the way those differences run parallel to the fertility series of the soil types.

In all the tables the fertilities from A to D stand as 1 : 2 : 3 : 4, and the rents correspond, as follows:

in VIIa wie 1 : 1 + 7 : 1 + 2 × 7 : 1 + 3 × 7, in VIIIa wie 1 1/5: 1 1/5 + 7 1/5: 1 1/5 + 2 × 7 1/5:1 1/5 + 3 × 7 1/5, in Xa wie 2/3: 2/3 + 6 2/3: 2/3 + 2 × 6 2/3: 2/3 + 3 × 6 2/3.
rent series for VIIa, VIIIa, Xa

In VIIa: 1 : 1 + 7 : 1 + 2 x 7 : 1 + 3 x 7; in VIIIa: 1 1/5 : 1 1/5 + 7 1/5 : 1 1/5 + 2 x 7 1/5 : 1 1/5 + 3 x 7 1/5; in Xa: 2/3 : 2/3 + 6 2/3 : 2/3 + 2 x 6 2/3 : 2/3 + 3 x 6 2/3.

Kurz: Ist die Rente von A = n, und die Rente des Bodens von nächst höherer Fruchtbarkeit = n + m, so ist die Reihe wie n : n + m : n + 2m : n + 3m usw. - F. E.}
general form of the series

In short: if the rent of A is n, and the rent of the soil of the next higher fertility is n + m, then the series runs n : n + m : n + 2m : n + 3m, and so on. — F. E.

Kap. 43
Renten folgen Fruchtbarkeitsunterschieden, nicht Fruchtbarkeitsgraden
Behind us lies a rising production price worked with A still governing, where money rent and the rate of rent held while corn rent fell, and then a worse soil entering so that A paid rent and a new differential rent I formed. Engels is reconstructing here: the earlier text leaves only the title of the third case, and he will settle what the completed run of differential rent II yields for the general conclusions.
__________
*
{Da der obige dritte Fall im Manuskript nicht ausgearbeitet war - es steht nur der Titel da -, so blieb es Aufgabe des Herausgebers, dies wie vorstehend so gut es ging zu ergänzen. Es bleibt ihm aber auch noch übrig, aus der ganzen bisherigen Untersuchung der Differentialrente II in ihren drei Hauptfällen und neun Unterfällen die sich ergebenden allgemeinen Schlüsse zu ziehn. Für diesen Zweck aber passen die im Manuskript gegebnen Beispiele nur wenig. Sie nehmen erstens Bodenstücke in Vergleich, deren Erträge, für gleichgroße Flächen, sich verhalten wie 1 : 2 : 3 : 4; also Unterschiede, die schon von vornherein stark übertreiben und die im Verlauf der sich auf dieser Grundlage entwickelnden Annahmen und Berechnungen zu vollständig gewaltsamen Zahlenverhältnissen führen. Zweitens aber erwecken sie einen durchaus falschen Schein. Wenn für Fruchtbarkeitsgrade, die sich verhalten wie 1 : 2 : 3 : 4 etc., sich Renten ergeben von der Reihe 0 : 1 : 2 : 3 etc., so fühlt man sich sofort versucht, die zweite Reihe aus der ersten abzuleiten und die Verdopplung, Verdreifachung etc. der Renten aus der Verdopplung, Verdreifachung usw. der Gesamterträge zu erklären. Dies wäre aber durchaus unrichtig. Die Renten verhalten sich wie 0 : 1 : 2 : 3 : 4 auch dann, wenn sich die Fruchtbarkeitsgrade verhalten wie n : n + 1 : n + 2 : n + 3 : n + 4; die Renten verhalten sich nicht wie die Fruchtbarkeitsgrade, sondern wie die Fruchtbarkeitsunterschiede, von dem rentelosen Boden als dem Nullpunkt an gerechnet.
Why the manuscript's examples mislead

The third case above was never worked out in the manuscript — only its title stands there — so it stayed the editor's job to fill it in as best he could, as the pages above have done. But something else is left to him too: to draw the general conclusions that follow from the whole investigation of differential rent II, across its three main cases and its nine sub-cases. For that purpose, though, the examples the manuscript gives fit only poorly. First, they compare pieces of land whose yields over equal areas stand in the ratio 1 : 2 : 3 : 4. Those differences exaggerate heavily from the outset, and as assumptions and calculations are built on that basis they lead to thoroughly forced numerical ratios. Second, they create a completely false appearance: when fertility grades in the ratio 1 : 2 : 3 : 4 etc. give rents in the series 0 : 1 : 2 : 3 etc., one immediately feels tempted to derive the second series from the first, and to explain the doubling, trebling and so on of the rents by the doubling, trebling and so on of the total yields. But that would be completely wrong. Rents behave as 0 : 1 : 2 : 3 : 4 even when the fertility grades behave as n : n + 1 : n + 2 : n + 3 : n + 4. Rents do not behave as the fertility grades do; they behave as the fertility differences do, counted from the rentless soil as the zero point.

Die Tabellen des Originals mußten zur Erklärung des Textes gegeben werden. Um aber für die unten folgenden Resultate der Untersuchung eine anschauliche Grundlage zu erhalten, gebe ich in folgendem eine neue Reihe von Tabellen, worin die Erträge in Bushels ( 1/8 Quarter oder 36,35 Liter) und Schillingen (= Mark) angegeben sind.
Old tables kept, new series added

The tables of the original had to be given, to explain the text. But so that the results of the investigation that follow below have a basis you can picture, I give in what follows a new series of tables, in which yields are given in bushels (1/8 quarter, or 36.35 litres) and shillings (= marks).

Die erste Tabelle (XI) entspricht der früheren Tabelle I. Sie gibt die Erträge und Renten für fünf Bodenqualitäten A-E, bei einer ersten Kapitalanlage von 50 sh., was mit 10 sh. Profit = 60 sh. Gesamtproduktionskosten per Acre ausmacht. Die Kornerträge sind niedrig angesetzt: 10, 12, 14, 16, 18 Bushels per Acre. Der sich ergebende regulierende Produktionspreis ist 6 sh. per Bushel.
Table XI: the starting figures

Table XI is the counterpart of the old Table I. For five grades of soil, A to E, it sets out the output and the rents, taking a first outlay of capital of 50s. per acre; add 10s. profit, and the total production costs come to 60s. per acre. The corn yields are set low: 10, 12, 14, 16, 18 bushels per acre. The governing production price that follows from this is 6s. per bushel.

Die folgenden 13 Tabellen entsprechen den in diesem und den beiden vorigen Kapiteln behandelten drei Fällen der Differentialrente II, bei einer zusätzlichen Kapitalanlage auf demselben Boden von 50 sh. per Acre, bei konstantem, fallendem und steigendem Produktionspreis. Jeder dieser Fälle wird wieder dargestellt, wie er sich gestaltet 1. bei gleichbleibender, 2. bei fallender, 3. bei steigender Produktivität der zweiten Kapitalanlage gegenüber der ersten. Dabei ergeben sich einige noch besonders zu veranschaulichende Varianten.
Thirteen tables: three cases, three variants

The thirteen tables that come next cover the three cases of differential rent II that this chapter and the two before it have been dealing with. Each puts another 50s. of capital per acre onto the same land, and each runs under a production price that holds steady, falls, or rises. Inside every one of these cases the table is worked out again for the three ways the second investment of capital can go compared with the first: (1) its productivity stays the same, (2) it falls, (3) it rises. Some variants come out of this that still need illustrating on their own.

Kap. 43
Die drei Fälle und ihre Varianten
Behind us, Engels has built a new series in bushels and shillings on Table XI as its base, and drawn the rule that rents follow differences, not absolute yields. What arrives now is the map of that whole new series, not only the rising-price case: constant, falling and rising price are all ordered before any table is worked, and the rising price is only the last part. What the survey settles is the plan and its conditions of admission: which pairings of price movement and second-investment productivity can arise, and where land A stands in each.
Bei Fall 1: konstanter Produktionspreis, haben wir:
case I: constant price

Case I: price of production constant, we have:

Variante 1: Gleichbleibende Produktivität der zweiten Kapitalanlage (Tabelle XII).
variant 1, Table XII

Variant 1: Productivity of the second capital investment stays the same (Table XII).

Variante 2: Fallende Produktivität. Diese kann stattfinden, nur wenn auf Boden A keine zweite Anlage gemacht wird. Und zwar entweder a) so, daß Boden B ebenfalls keine Rente aufbringt(TabelleXIII) oder b) so, daß Boden B nicht ganz rentelos wird (Tab. XIV).
Variant 2: falling productivity, two sub-cases

Variant 2: falling productivity. This can happen only if land A receives no second investment. And it does so in one of two ways: (a) land B, too, brings in no rent (Table XIII); or (b) land B does not end up wholly rentless (Table XIV).

Variante 3: Steigende Produktivität (Tabelle XV). Auch dieser Fall schließt zweite Kapitalanlage auf Boden A aus.
variant 3, Table XV

Variant 3: Rising productivity (Table XV). This case, too, rules out a second capital investment on land A.

Bei Fall II: Fallender Produktionspreis, haben wir:
case II: falling price

Case II: production price falling, we have:

Variante 1: Gleichbleibende Produktivität der zweiten Anlage (Tabelle XVI).
variant 1, Table XVI

Variant 1: Productivity of the second investment stays the same (Table XVI).

Variante 2: Fallende Produktivität (Tabelle XVII). Diese beiden Varianten bedingen, daß Boden A außer Konkurrenz tritt, Boden B rentelos wird und den Produktionspreis reguliert.
variants 1 and 2 together

Variant 2: Falling productivity (Table XVII). Both of these variants mean that land A drops out of competition, land B becomes rentless, and land B governs the production price.

Variante 3: Steigende Produktivität (Tabelle XVIII). Hier bleibt Boden A regulierend.
variant 3, Table XVIII

Variant 3: Rising productivity (Table XVIII). Here land A stays the one that governs.

Bei Fall III: Steigender Produktionspreis, sind zwei Modalitäten möglich; Boden A kann rentelos und preisregulierend bleiben, oder aber, es tritt eine geringere Bodenqualität als A in Konkurrenz und reguliert den Preis, wobei A dann Rente abwirft.
case III: two modalities

Case III: production price rising, two modalities are possible. Land A can stay rentless and keep governing the price, or else a quality of land inferior to A comes into competition and governs the price — and land A then yields rent.

Erste Modalität: Boden A bleibt regulierend.
first modality: A governs

First modality: land A stays governing.

Variante 1: Gleichbleibende Produktivität der zweiten Anlage (Tabelle XIX). Dies ist unter den Voraussetzungen nur zulässig, wenn die Produktivität der ersten Anlage abnimmt.
variant 1, Table XIX

Variant 1: Productivity of the second investment stays the same (Table XIX). Under the assumptions, this is admissible only if the productivity of the first investment declines.

Variante 2: Fallende Produktivität der zweiten Anlage (Tabelle XX); dies schließt gleichbleibende Produktivität der ersten Anlage nicht aus.
variant 2, Table XX

Variant 2: Falling productivity of the second investment (Table XX); this does not rule out the productivity of the first investment staying the same.

Variante 3: Steigende Produktivität der zweiten Anlage (Tabelle XXI); dies bedingt wieder fallende der ersten Anlage.
variant 3, Table XXI

Variant 3: Rising productivity of the second investment (Table XXI); this in turn presupposes a falling productivity of the first investment.

Zweite Modalität: Eine geringere (mit a bezeichnete) Bodenqualität tritt in Konkurrenz; Boden A wirft Rente ab.
second modality: soil a enters

Second modality: an inferior quality of land (denoted by a) comes into competition; land A yields rent.

Variante 1: Gleichbleibende Produktivität der zweiten Anlage (Tabelle XXII).
variant 1, Table XXII

Variant 1: Productivity of the second investment stays the same (Table XXII).

Variante 2: Fallende Produktivität (Tabelle XXIII).
variant 2, Table XXIII

Variant 2: Falling productivity (Table XXIII).

Variante 3: Steigende Produktivität (Tabelle XXIV).
variant 3, Table XXIV

Variant 3: Rising productivity (Table XXIV).

Diese drei Varianten gehn unter den allgemeinen Bedingungen des Problems vor sich und geben zu keinen Bemerkungen Anlaß.
no special remarks needed

These three variants go forward under the general conditions of the problem and give no occasion for any special remarks.

Kap. 43
Tabelle XI und der erste Fall: konstanter Produktionspreis
Behind us stands the decision to test the first case on a fresh series, in bushels and shillings, because the older examples invite the false reading that rent follows fertility directly. Engels begins that series from its baseline: A rentless and governing, B to E yielding rents in fixed steps at 6 shillings. Engels then applies a second capital investment to the same land under that unchanged price, and settles what happens to those rents when its productivity is constant, when it falls, and when it rises. The price never moves; the second investment's productivity changes, and in Variants 2 and 3 A receives no second investment.
Wir lassen jetzt die Tabellen folgen.
Tables now follow

The tables now follow.

Tabelle XI
Bodenart Produktionskosten Produkt Verkaufspreis Ertrag Rente Rentsteigerung
sh. Bushels sh. sh. sh.
A 60 10 6 60 0 0
B 60 12 6 72 12 12
C 60 14 6 84 24 2 × 12
D 60 16 6 96 36 3 × 12
E 60 18 6 108 48 4 × 12
120 10 × 12
Table XI
Type of land Price of production (s.) Output (bushels) Selling price (s.) Proceeds (s.) Rent (s.) Rent increase
A 60 10 6 60 0 0
B 60 12 6 72 12 12
C 60 14 6 84 24 2 x 12
D 60 16 6 96 36 3 x 12
E 60 18 6 108 48 4 x 12
120 10 x 12
Bei zweiter Kapitalanlage auf denselben Boden.
Second investment, same land

For the second capital investment on the same land.

Erster Fall: Bei konstant bleibendem Produktionspreis.
First case: constant price of production

First case: with the price of production remaining constant.

Variante 1: Bei konstant bleibender Produktivität der zweiten Kapitalanlage.
Variant 1: productivity held constant

Variant 1: with the productivity of the second capital investment remaining constant.

Tabelle XII
Bodenart Produktionskosten Produkt Verkaufspreis Ertrag Rente Rentsteigerung
sh. Bushels sh. sh. sh.
A 60 + 60 = 120 10 + 10 = 20 6 120 0 0
B 60 + 60 = 120 12 + 12 = 24 6 144 24 24
C 60 + 60 = 120 14 + 14 = 28 6 168 48 2 × 24
D 60 + 60 = 120 16 + 16 = 32 6 192 72 3 × 24
E 60 + 60 = 120 18 + 18 = 36 6 216 96 4 × 24
240 10 × 24
Table XII
Type of land Price of production (s.) Output (bushels) Selling price (s.) Proceeds (s.) Rent (s.) Rent increase
A 60 + 60 = 120 10 + 10 = 20 6 120 0 0
B 60 + 60 = 120 12 + 12 = 24 6 144 24 24
C 60 + 60 = 120 14 + 14 = 28 6 168 48 2 x 24
D 60 + 60 = 120 16 + 16 = 32 6 192 72 3 x 24
E 60 + 60 = 120 18 + 18 = 36 6 216 96 4 x 24
240 10 x 24
Variante 2: Bei fallender Produktivität der zweiten Kapitalanlage; auf Boden A keine zweite Anlage.
Variant 2: falling productivity

Variant 2: with the productivity of the second capital investment falling, and no second investment on land A.

1. Wenn Boden B rentelos wird.
Subcase a: B stops bearing rent

(a) When land B stops bearing rent.

Tabelle XIII
Bodenart Produktionskosten Produkt Verkaufspreis Ertrag Rente Rentsteigerung
sh. Bushels sh. sh. sh.
A 60 10 6 60 0 0
B 60 + 60 = 120 12 + 8 = 20 6 120 0 0
C 60 + 60 = 120 14 + 9 1/3 = 23 1/3 6 140 20 20
D 60 + 60 = 120 16 + 10 2/3 = 26 2/3 6 160 40 2 × 20
E 60 + 60 = 120 18 + 12 = 30 6 180 60 3 × 20
120 6 × 20
Table XIII
Type of land Price of production (s.) Output (bushels) Selling price (s.) Proceeds (s.) Rent (s.) Rent increase
A 60 10 6 60 0 0
B 60 + 60 = 120 12 + 8 = 20 6 120 0 0
C 60 + 60 = 120 14 + 9 1/3 = 23 1/3 6 140 20 20
D 60 + 60 = 120 16 + 10 2/3 = 26 2/3 6 160 40 2 x 20
E 60 + 60 = 120 18 + 12 = 30 6 180 60 3 x 20
120 6 x 20
2. Wenn Boden B nicht ganz rentelos wird.
Subcase b: B not wholly rentless

(b) When land B does not entirely stop bearing rent.

Tabelle XIV
Bodenart Produktionskosten Produkt Verkaufspreis Ertrag Rente Rentsteigerung
sh. Bushels sh. sh. sh.
A 60 10 6 60 0 0
B 60 + 60 = 120 12 + 9 = 21 6 126 6 6
C 60 + 60 = 120 14 + 10 1/2 = 24 1/2 6 147 27 6 + 21
D 60 + 60 = 120 16 + 12 = 28 6 168 48 6 + 2 × 21
E 60 + 60 = 120 18 + 13 1/2 = 31 1/2 6 189 69 6 + 3 × 21
150 4 × 6 + 6 × 21
Table XIV
Type of land Price of production (s.) Output (bushels) Selling price (s.) Proceeds (s.) Rent (s.) Rent increase
A 60 10 6 60 0 0
B 60 + 60 = 120 12 + 9 = 21 6 126 6 6
C 60 + 60 = 120 14 + 10 1/2 = 24 1/2 6 147 27 6 + 21
D 60 + 60 = 120 16 + 12 = 28 6 168 48 6 + 2 x 21
E 60 + 60 = 120 18 + 13 1/2 = 31 1/2 6 189 69 6 + 3 x 21
150 4 x 6 + 6 x 21
Variante 3: Bei steigender Produktivität der 2. Kapitalanlage; auf Boden A auch hier keine zweite Anlage.
Variant 3: rising productivity

Variant 3: with the productivity of the second capital investment rising, and here too no second investment on land A.

Tabelle XV
Bodenart Produktionskosten Produkt Verkaufspreis Ertrag Rente Rentsteigerung
sh. Bushels sh. sh. sh.
A 60 10 6 60 0 0
B 60 + 60 = 120 12 + 15 = 27 6 162 42 42
C 60 + 60 = 120 14 + 17 1/2 = 31 1/2 6 189 69 42 + 27
D 60 + 60 = 120 16 + 20 = 36 6 216 96 42 + 2 × 27
E 60 + 60 = 120 18 + 22 1/2 = 40 1/2 6 243 123 42 + 3 × 27
330 4 × 42 + 6 × 27
Table XV
Type of land Price of production (s.) Output (bushels) Selling price (s.) Proceeds (s.) Rent (s.) Rent increase
A 60 10 6 60 0 0
B 60 + 60 = 120 12 + 15 = 27 6 162 42 42
C 60 + 60 = 120 14 + 17 1/2 = 31 1/2 6 189 69 42 + 27
D 60 + 60 = 120 16 + 20 = 36 6 216 96 42 + 2 x 27
E 60 + 60 = 120 18 + 22 1/2 = 40 1/2 6 243 123 42 + 3 x 27
330 4 x 42 + 6 x 27
Kap. 43
Zweiter Fall: fallender Produktionspreis
The reader arrives from the constant-price case, where the separation of differential rent I's back-effect from differential rent II was still in place. What is new here is the second case: a falling price of production, still inside Engels's reconstruction, and still built as constructed tables. Engels settles that the falling price admits three variants according to the second capital investment's productivity, that the rentless base shifts—from B in the first two variants back to A in the third—and that the tables' rents are differential, measured from that base rather than from fertility or output as such. The three cases are stated, and their figures are constructed.
Zweiter Fall: Bei fallendem Produktionspreis.
second case: falling price of production

Second case: the price of production falls.

Variante 1: Bei gleichbleibender Produktivität der zweiten Kapitalanlage. Boden A tritt außer Konkurrenz, Boden B wird rentelos.
variant 1: second investment yields the same

Variant 1: the productivity of the second capital investment stays the same. Land A drops out of competition, and land B ceases to bear rent.

Tabelle XVI
Bodenart Produktionskosten Produkt Verkaufspreis Ertrag Rente Rentsteigerung
sh. Bushels sh. sh. sh.
B 60 + 60 = 120 12 + 12 = 24 5 120 0 0
C 60 + 60 = 120 14 + 14 = 28 5 140 20 20
D 60 + 60 = 120 16 + 16 = 32 5 160 40 2 × 20
E 60 + 60 = 120 18 + 18 = 36 5 180 60 3 × 20
120 6 × 20
Table XVI
Type of land Price of production (s.) Output (bushels) Selling price (s.) Proceeds (s.) Rent (s.) Rent increase
B 60 + 60 = 120 12 + 12 = 24 5 120 0 0
C 60 + 60 = 120 14 + 14 = 28 5 140 20 20
D 60 + 60 = 120 16 + 16 = 32 5 160 40 2 x 20
E 60 + 60 = 120 18 + 18 = 36 5 180 60 3 x 20
120 6 x 20
Variante 2: Bei fallender Produktivität der zweiten Kapitalanlage; Boden A tritt außer Konkurrenz, Boden B wird rentelos.
variant 2: second investment yields less

Variant 2: the productivity of the second capital investment falls; land A drops out of competition, and land B ceases to bear rent.

Tabelle XVII
Bodenart Produktionskosten Produkt Verkaufspreis Ertrag Rente Rentsteigerung
sh. Bushels sh. sh. sh.
B 60 + 60 = 120 12 + 9 = 21 5 5/7 120 0 0
C 60 + 60 = 120 14 + 10 1/2 = 24 1/2 5 5/7 140 20 20
D 60 + 60 = 120 16 + 12 = 28 5 5/7 160 40 2 × 20
E 60 + 60 = 120 18 + 13 1/2 = 31 1/2 5 5/7 180 60 3 × 20
120 6 × 20
Table XVII
Type of land Price of production (s.) Output (bushels) Selling price (s.) Proceeds (s.) Rent (s.) Rent increase
B 60 + 60 = 120 12 + 9 = 21 5 5/7 120 0 0
C 60 + 60 = 120 14 + 10 1/2 = 24 1/2 5 5/7 140 20 20
D 60 + 60 = 120 16 + 12 = 28 5 5/7 160 40 2 x 20
E 60 + 60 = 120 18 + 13 1/2 = 31 1/2 5 5/7 180 60 3 x 20
120 6 x 20
Variante 3: Bei steigender Produktivität der zweiten Kapitalanlage; Boden A bleibt in Konkurrenz. Boden B trägt Rente.
variant 3: second investment yields more

Variant 3: the productivity of the second capital investment rises; land A stays in competition. Land B bears rent.

Tabelle XVIII
Bodenart Produktionskosten Produkt Verkaufspreis Ertrag Rente Rentsteigerung
sh. Bushels sh. sh. sh.
A 60 + 60 = 120 10 + 15 = 25 4 4/5 120 0 0
B 60 + 60 = 120 12 + 18 = 30 4 4/5 144 24 24
C 60 + 60 = 120 14 + 21 = 35 4 4/5 168 48 2 × 24
D 60 + 60 = 120 16 + 24 = 40 4 4/5 192 72 3 × 24
E 60 + 60 = 120 18 + 27 = 45 4 4/5 216 96 4 × 24
240 10 × 24
Table XVIII
Type of land Price of production (s.) Output (bushels) Selling price (s.) Proceeds (s.) Rent (s.) Rent increase
A 60 + 60 = 120 10 + 15 = 25 4 4/5 120 0 0
B 60 + 60 = 120 12 + 18 = 30 4 4/5 144 24 24
C 60 + 60 = 120 14 + 21 = 35 4 4/5 168 48 2 x 24
D 60 + 60 = 120 16 + 24 = 40 4 4/5 192 72 3 x 24
E 60 + 60 = 120 18 + 27 = 45 4 4/5 216 96 4 x 24
240 10 x 24
Kap. 43
Dritter Fall: Boden A bleibt regulierend
Behind us stand the first two cases in the bushel-and-shilling tables, with their variant sortings, most recently the falling-price case. Here the rising price of production opens in that sequence for the first time; the chapter's earlier tables treated it at the start. Engels fixes the first modality, where land A remains rentless and governs, and he separates the variants by which successive investment's productivity carries the change. A's zero rent and the rent scale stay fixed across them, so the higher price is not itself a higher rent. Engels's reconstruction carries the argument forward.
Dritter Fall: Bei steigendem Produktionspreis.
third case: rising price of production

Third case. The price of production rises.

A. Wenn Boden A rentelos und preisregulierend bleibt.
first modality: A stays rentless

A. First modality: if land A remains rentless and governs the price.

Variante 1: Bei gleichbleibender Produktivität der zweiten Kapitalanlage; was abnehmende Produktivität der ersten Anlage bedingt.
Variant 1: second investment's productivity constant

Variant 1. The productivity of the second capital investment is unchanged — and that requires the productivity of the first investment to fall.

Tabelle XIX
Bodenart Produktionskosten Produkt* Verkaufspreis Ertrag Rente Rentsteigerung
sh. Bushels sh. sh. sh.
A 60 + 60 = 120 7 1/2 + 10 = 17 1/2 6 6/7 120 0 0
B 60 + 60 = 120 9 + 12 = 21 6 6/7 144 24 24
C 60 + 60 = 120 10 1/2 + 14 = 24 1/2 6 6/7 168 48 2 × 24
D 60 + 60 = 120 12 + 16 = 28 6 6/7 192 72 3 × 24
E 60 + 60 = 120 13 1/2 + 18 = 31 1/2 6 6/7 216 96 4 × 24
240 10 × 24
Table XIX
Type of land Price of production (s.) Output (bushels) Selling price (s.) Proceeds (s.) Rent (s.) Rent increase
A 60 + 60 = 120 7 1/2 + 10 = 17 1/2 6 6/7 120 0 0
B 60 + 60 = 120 9 + 12 = 21 6 6/7 144 24 24
C 60 + 60 = 120 10 1/2 + 14 = 24 1/2 6 6/7 168 48 2 x 24
D 60 + 60 = 120 12 + 16 = 28 6 6/7 192 72 3 x 24
E 60 + 60 = 120 13 1/2 + 18 = 31 1/2 6 6/7 216 96 4 x 24
240 10 x 24
* In der 1. Auflage werden hier versehentlich die Ziffern der Tabelle XXI gegeben.
Variante 2: Bei fallender Produktivität der zweiten Kapitalanlage; was gleichbleibende Produktivität der ersten nicht ausschließt.
Variant 2: second investment's productivity falls

Variant 2. The productivity of the second capital investment falls — which does not rule out the productivity of the first investment staying the same.

Tabelle XX
Bodenart Produktionskosten Produkt Verkaufspreis Ertrag Rente Rentsteigerung
sh. Bushels sh. sh. sh.
A 60 + 60 = 120 10 + 5 = 15 8 120 0 0
B 60 + 60 = 120 12 + 6 = 18 8 144 24 24
C 60 + 60 = 120 14 + 7 = 21 8 168 48 2 × 24
D 60 + 60 = 120 16 + 8 = 24 8 192 72 3 × 24
E 60 + 60 = 120 18 + 9 = 27 8 216 96 4 × 24
240 10 × 24
Table XX
Type of land Price of production (s.) Output (bushels) Selling price (s.) Proceeds (s.) Rent (s.) Rent increase
A 60 + 60 = 120 10 + 5 = 15 8 120 0 0
B 60 + 60 = 120 12 + 6 = 18 8 144 24 24
C 60 + 60 = 120 14 + 7 = 21 8 168 48 2 x 24
D 60 + 60 = 120 16 + 8 = 24 8 192 72 3 x 24
E 60 + 60 = 120 18 + 9 = 27 8 216 96 4 x 24
240 10 x 24
Variante 3: Bei steigender Produktivität der zweiten Kapitalanlage, was, unter den Voraussetzungen, fallende der ersten Anlage bedingt.
Variant 3: second investment's productivity rises

Variant 3. The productivity of the second capital investment rises — which, under the assumptions made, requires the productivity of the first investment to fall.

Tabelle XXI
Bodenart Produktionskosten Produkt Verkaufspreis Ertrag Rente Rentsteigerung
sh. Bushels sh. sh. sh.
A 60 + 60 = 120 5 + 12 1/2 = 17 1/2 6 6/7 120 0 0
B 60 + 60 = 120 6 + 15 = 21 6 6/7 144 24 24
C 60 + 60 = 120 7 + 17 1/2 = 24 1/2 6 6/7 168 48 2 × 24
D 60 + 60 = 120 8 + 20 = 28 6 6/7 192 72 3 × 24
E 60 + 60 = 120 9 + 22 1/2 = 31 1/2 6 6/7 216 96 4 × 24
240 10 × 24
Table XXI
Type of land Price of production (s.) Output (bushels) Selling price (s.) Proceeds (s.) Rent (s.) Rent increase
A 60 + 60 = 120 5 + 12 1/2 = 17 1/2 6 6/7 120 0 0
B 60 + 60 = 120 6 + 15 = 21 6 6/7 144 24 24
C 60 + 60 = 120 7 + 17 1/2 = 24 1/2 6 6/7 168 48 2 x 24
D 60 + 60 = 120 8 + 20 = 28 6 6/7 192 72 3 x 24
E 60 + 60 = 120 9 + 22 1/2 = 31 1/2 6 6/7 216 96 4 x 24
240 10 x 24
Kap. 43
Dritter Fall: ein geringerer Boden a wird preisregulierend
Behind us stands the rising-price result of Tables XIX–XXI: with the doubled capital the total rent stands at 240 against Table XI's 120, so the rise belongs to the larger capital, not to a money rent that stayed where it was in the original series. Engels now opens the second modality, where inferior land a enters and governs, so A itself yields rent. The question is what that rent is and how the variants of the second investment's productivity change it. What follows settles that A's rent is differential against a, then follows the three variants in which the second investment's productivity is constant, falls, or rises.
B. Wenn ein geringerer (mit a bezeichneter) Boden preisregulierend wird und Boden A demnach Rente abwirft. Dies läßt für alle Varianten gleichbleibende Produktivität der zweiten Anlage zu.
worse soil a sets the price

B. Second modality. If a worse soil, called a, becomes the one that governs the price, and land A therefore yields rent. This allows the productivity of the second investment to stay the same in all the variants.

Variante 1: Gleichbleibende Produktivität der zweiten Kapitalanlage.
constant productivity of second investment

Variant 1. The productivity of the second investment remains the same.

Tabelle XXII
Bodenart Produktionskosten Produkt Verkaufspreis Ertrag Rente Rentsteigerung
sh. Bushels sh. sh. sh.
a 120 16 7 1/2 120 0 0
A 60 + 60 =120 10 + 10 = 20 7 1/2 150 30 30
B 60 + 60 = 120 12 + 12 = 24 7 1/2 180 60 2 × 30
C 60 + 60 = 120 14 + 14 = 28 7 1/2 210 90 3 × 30
D 60 + 60 = 120 16 + 16 = 32 7 1/2 240 120 4 × 30
E 60 + 60 = 120 18 + 18 = 36 7 1/2 270 150 5 × 30
450 15 × 30
Table XXII
Type of land Price of production (s.) Output (bushels) Selling price (s.) Proceeds (s.) Rent (s.) Rent increase
a 120 16 7 1/2 120 0 0
A 60 + 60 = 120 10 + 10 = 20 7 1/2 150 30 30
B 60 + 60 = 120 12 + 12 = 24 7 1/2 180 60 2 x 30
C 60 + 60 = 120 14 + 14 = 28 7 1/2 210 90 3 x 30
D 60 + 60 = 120 16 + 16 = 32 7 1/2 240 120 4 x 30
E 60 + 60 = 120 18 + 18 = 36 7 1/2 270 150 5 x 30
450 15 x 30
Variante 2: Fallende Produktivität der zweiten Kapitalanlage.
falling productivity of second investment

Variant 2. The productivity of the second investment falls.

Tabelle XXIII
Bodenart Produktionskosten Produkt Verkaufspreis Ertrag Rente Rentsteigerung
sh. Bushels sh. sh. sh.
a 120 15 8 120 0 0
A 60 + 60 =120 10 + 7 1/2 = 17 1/2 8 140 20 20
B 60 + 60 = 120 12 + 9 = 21 8 168 48 20 + 28
C 60 + 60 = 120 14 + 10 1/2 = 24 1/2 8 196 76 20 + 2 × 28
D 60 + 60 = 120 16 + 12 = 28 8 224 104 20 + 3 × 28
E 60 + 60 = 120 18 + 13 1/2 = 31 1/2 8 252 132 20 + 4 × 28
380 5 × 20 + 10 × 28
Table XXIII
Type of land Price of production (s.) Output (bushels) Selling price (s.) Proceeds (s.) Rent (s.) Rent increase
a 120 15 8 120 0 0
A 60 + 60 = 120 10 + 7 1/2 = 17 1/2 8 140 20 20
B 60 + 60 = 120 12 + 9 = 21 8 168 48 20 + 28
C 60 + 60 = 120 14 + 10 1/2 = 24 1/2 8 196 76 20 + 2 x 28
D 60 + 60 = 120 16 + 12 = 28 8 224 104 20 + 3 x 28
E 60 + 60 = 120 18 + 13 1/2 = 31 1/2 8 252 132 20 + 4 x 28
380 5 x 20 + 10 x 28
Variante 3: Steigende Produktivität der zweiten Kapitalanlage.
rising productivity of second investment

Variant 3. The productivity of the second investment rises.

Tabelle XXIV
Bodenart Produktionskosten Produkt Verkaufspreis Ertrag Rente Rentsteigerung
sh. Bushels sh. sh. sh.
a 120 16 7 1/2 120 0 0
A 60 + 60 =120 10 + 12 1/2 = 22 1/2 7 1/2 168 3/4 48 3/4 15 + 33 3/4
B 60 + 60 = 120 12 + 15 = 27 7 1/2 202 1/2 82 1/2 15 + 2 × 33 3/4
C 60 + 60 = 120 14 + 17 1/2 = 31 1/2 7 1/2 236 1/4 116 1/4 15 + 3 × 33 3/4
D 60 + 60 = 120 16 + 20 = 36 7 1/2 270 150 15 + 4 × 33 3/4
E 60 + 60 = 120 18 + 22 1/2 = 40 1/2 7 1/2 303 3/4 183 3/4 15 + 5 × 33 3/4
581 1/4 5 × 15 + 15 × 33 3/4
Table XXIV
Type of land Price of production (s.) Output (bushels) Selling price (s.) Proceeds (s.) Rent (s.) Rent increase
a 120 16 7 1/2 120 0 0
A 60 + 60 = 120 10 + 12 1/2 = 22 1/2 7 1/2 168 3/4 48 3/4 15 + 33 3/4
B 60 + 60 = 120 12 + 15 = 27 7 1/2 202 1/2 82 1/2 15 + 2 x 33 3/4
C 60 + 60 = 120 14 + 17 1/2 = 31 1/2 7 1/2 236 1/4 116 1/4 15 + 3 x 33 3/4
D 60 + 60 = 120 16 + 20 = 36 7 1/2 270 150 15 + 4 x 33 3/4
E 60 + 60 = 120 18 + 22 1/2 = 40 1/2 7 1/2 303 3/4 183 3/4 15 + 5 x 33 3/4
581 1/4 5 x 15 + 15 x 33 3/4
Kap. 43
Steigende Rente in der großen Mehrzahl der Fälle
Behind us stands a long new series in bushels and shillings: fourteen constructed tables that run the three cases, constant, falling and rising price of production, through their variants, on the same land and across a range of soils. What is new is the turn from tables to count. The editor who built that series, Friedrich Engels, now draws what it yields: the rule that rents follow differences rather than yields, the tally of what a second capital investment does to the total rent, and the law the tally supports, together with the condition it carries.
Diese Tabellen ergeben nun folgendes.
the tables' results introduced

Here, now, is what these tables show.

Zunächst, daß die Reihe der Renten sich genau verhält wie die Reihe der Fruchtbarkeitsunterschiede, den rentelosen, regulierenden Boden als Nullpunkt genommen. Nicht die absoluten Erträge, sondern nur die Ertragsdifferenzen sind für die Rente bestimmend. Ob die verschiednen Bodenarten 1, 2, 3, 4, 5 Bushel, ob sie 11, 12, 13, 14, 15 Bushel per Acre Ertrag liefern, die Renten sind in beiden Fällen, der Reihe nach, 0, 1, 2, 3, 4 Bushel, resp. deren Geldertrag.
differences, not absolute yields

First: the rents run in exactly the same proportion as the differences in fertility, taking the rentless soil that governs price as the zero point. Rent is settled not by absolute yields but only by the differences between yields. Whether the different soils give 1, 2, 3, 4, 5 bushels per acre or 11, 12, 13, 14, 15 bushels, the rents in both cases are 0, 1, 2, 3, 4 bushels in that order, or the money they fetch.

Weit wichtiger aber ist das Resultat in Beziehung auf die Gesamtrentenerträge bei wiederholter Kapitalanlage auf demselben Boden.
from rent per acre to totals

What matters far more, though, is what comes out for the total rent taken in when capital is put into the same soil more than once.

In fünf Fällen aus den untersuchten dreizehn verdoppelt sich mit der Kapitalanlage auch die Gesamtsumme der Renten; statt 10 × 12 sh. wird sie 10 × 24 sh. = 240 sh. Diese Fälle sind:
five cases: rent doubles

In five of the thirteen cases examined, the total rent doubles along with the capital invested: instead of 10 × 12s. it becomes 10 × 24s. = 240s. These cases are:

Fall I, konstanter Preis, Variante 1: gleichbleibende Produktionssteigerung (Tabelle XII).
constant price, steady increase

Case I, constant price, variant 1: constant rise in production (Table XII).

Fall II, fallender Preis, Variante 3: wachsende Produktionssteigerung (Tabelle XVIII).
falling price, growing increase

Case II, falling price, variant 3: increasing rise in production (Table XVIII).

Fall III, steigender Preis, erste Modalität, wo Boden A regulierend bleibt, in allen drei Varianten (Tabelle XIX, XX, XXI).
rising price, A still governs

Case III, rising price, first modality, where land A continues to govern price, in all three variants (Tables XIX, XX, XXI).

In vier Fällen steigt die Rente um mehr als das Doppelte, nämlich:
four cases: more than double

In four of the cases the rent rises to more than twice what the first capital investment yielded. These are:

Fall I, Variante 3, konstanter Preis, aber wachsende Produktionssteigerung (Tabelle XV). Die Rentensumme steigt auf 330 sh.
constant price, rising output

Case I, variant 3: the price stays constant, but production rises by a growing amount (Table XV). The rent total comes to 330s.

Fall III, zweite Modalität, wo Boden A Rente abwirft, in allen drei Varianten (Tabelle XXII, Rente = 15 × 30 = 450 sh.; Tab. XXIII, Rente = 5 × 20 + 10 × 28 = 380 sh.; Tabelle XXIV, Rente = 5 × 15 + 15 × 33 3/4 = 581 1/4 sh.).
land A itself yields rent

Case III, second modality: here it is land A itself that yields rent, and it does so in all three variants. Table XXII: rent = 15 × 30 = 450s.; Table XXIII: rent = 5 × 20 + 10 × 28 = 380s.; Table XXIV: rent = 5 × 15 + 15 × 33 3/4 = 581 1/4s.

In einem Fall steigt sie, aber nicht auf den doppelten Betrag der bei der ersten Kapitalanlage abfallenden Rente:
one case: below double

In one case the rent rises, but not to twice the amount that the first capital investment yielded:

Fall I, konstanter Preis, Variante 2: fallende Produktivität der zweiten Anlage unter Bedingungen, wo B nicht ganz rentelos wird (Tabelle XIV, Rente = 4 × 6 + 6 × 21 = 150 sh.).
second investment less productive

Case I, constant price, variant 2: falling productivity of the second investment, under conditions in which B does not become completely rentless (Table XIV, rent = 4 × 6 + 6 × 21 = 150s.).

Endlich, nur in drei Fällen bleibt die Gesamtrente bei zweiter Kapitalanlage für alle Bodenarten zusammen, auf demselben Stand wie bei der ersten Anlage (Tabelle XI); es sind dies die Fälle, wo Boden A außer Konkurrenz gesetzt und Boden B regulierend und damit rentelos wird. Die Rente für B fällt also nicht nur weg, sie wird auch von jedem folgenden Glied der Rentenreihe abgezogen; dadurch ist das Ergebnis bedingt. Diese Fälle sind:
three cases level with Table XI

Finally, in only three cases does the total rent with a second capital investment, across all the soils together, stay at the same level as with the first investment (Table XI); these are the cases where land A is put out of competition and land B becomes price-governing and therefore rentless. B's rent does not simply drop away; it is also subtracted from every later member of the rent series, and that is what shapes the result. These cases are:

Fall I, Variante 2, wenn die Bedingungen derart sind, daß Boden A ausfällt (Tabelle XIII). Die Rentensumme ist 6 × 20, also = 10 × 12 = 120 wie in Tabelle XI.
A drops out, 120s. again

Case I, variant 2, where the conditions are such that land A drops out (Table XIII). The rent total is 6 × 20, i.e. = 10 × 12 = 120s., as in Table XI.

Fall II, Variante 1 und 2. Hier fällt Boden A nach den Voraussetzungen notwendig aus (Tabelle XVI und XVII), und die Rentensumme ist wieder 6 × 20 = 10 × 12 = 120 sh.
by assumption, A must drop out

Case II, variants 1 and 2. Here, given the assumptions, land A necessarily drops out (Tables XVI and XVII), and the rent total is again 6 × 20 = 10 × 12 = 120s.

Dies heißt also: in der großen Mehrzahl aller möglichen Fälle steigt die Rente, sowohl per Acre des Rente tragenden Bodens, wie namentlich in ihrer Gesamtsumme, infolge vermehrter Kapitalanlage auf den Boden. Nur in 3 Fällen aus dreizehn untersuchten bleibt ihre Gesamtsumme unverändert. Es sind dies die Fälle, wo die niedrigste, bisher rentelose und regulierende Bodenqualität außer Konkurrenz und die nächsthöhere an ihre Stelle tritt, also rentelos wird. Aber auch in diesen Fällen steigen die Renten auf den besten Bodenarten gegen die der ersten Kapitalanlage geschuldeten; wenn die Rente für C von 24 auf 20 fällt, so steigt die für D und E von 36 und 48 auf 40 und 60 sh.
the great majority of cases

This means: in the great majority of all possible cases, rent rises — both per acre of rent-bearing land and, above all, in its total — because more capital has been invested in the soil. Only 3 of the thirteen cases examined leave the total unchanged. They are the cases where the lowest quality of soil, until then rentless and price-governing, leaves competition and the next higher quality steps into its place and so becomes rentless.

But even in these cases the rents on the best soils rise above those owed to the first capital investment; if the rent for C falls from 24 to 20, then those for D and E rise from 36 and 48 to 40 and 60s.

Ein Fall der Gesamtrenten unter den Stand bei erster Kapitalanlage (Tab. XI) wäre nur möglich, wenn außer Boden A auch Boden B aus der Konkurrenz schiede und Boden C regulierend und rentelos würde.
the one condition for a fall

A total rent below the level of the first capital investment (Table XI) would be possible only if, besides land A, land B also left competition and land C became price-governing and rentless.

Je mehr Kapital also auf den Boden verwandt wird, je höher die Entwicklung des Ackerbaus und der Zivilisation überhaupt in einem Lande steht, desto höher steigen die Renten per Acre sowohl wie die Gesamtsumme der Renten, desto riesiger wird der Tribut, den die Gesellschaft den Großgrundbesitzern in der Gestalt von Surplusprofiten zahlt - solange die einmal in Bebauung genommenen Bodenarten alle konkurrenzfähig bleiben.
the law and its condition

So the more capital is applied to the soil, and the higher the development of agriculture and of civilization in general in a country, the higher rents rise per acre and in total, and the more gigantic the tribute that society pays the great landowners in the form of surplus profits — as long as the types of soil once taken into cultivation all stay able to compete.

Kap. 43
Kapital andrer Leute: Lebenszähigkeit und Erschöpfung der Grundbesitzer
The reader arrives carrying a law with a condition attached: more capital on the land raises rents so long as every soil once taken into cultivation can still compete — a law Engels has just drawn from cases he worked out himself, and one he can now put to the test, because he is writing after the event. What Engels settles next is how that condition held for a generation after the Corn Laws were repealed, and how transoceanic grain then broke it.
Dies Gesetz erklärt die wunderbare Lebenszähigkeit der Klasse der großen Grundbesitzer. Keine Gesellschaftsklasse lebt so verschwenderisch, keine nimmt so, wie diese, ein Recht auf einen hergebrachten "standesgemäßen" Luxus in Anspruch, einerlei woher das Geld dazu kommt, keine häuft so leichten Herzens Schulden über Schulden auf. Und doch fällt sie immer wieder auf die Füße - dank dem in den Boden gesteckten Kapital andrer Leute, das ihr Renten einträgt, ganz außer allem Verhältnis zu den Profiten, die der Kapitalist daraus zieht.
vitality from other people's capital

This law explains the amazing vitality of the class of large landowners. No other social class lives so extravagantly; no other class claims, as this one does, a right to a traditional luxury "befitting its station", no matter where the money for it comes from; no other piles debts on debts so light-heartedly. And yet it always lands on its feet — thanks to capital other people have put into the soil, which yields it rents quite out of proportion to the profits the capitalist draws from it.

Dasselbe Gesetz erklärt aber auch, warum diese Lebenszähigkeit des großen Grundbesitzers allmählich sich erschöpft.
same law, coming exhaustion

But the same law also explains why this vitality of the large landowner gradually runs out.

Als die englischen Kornzölle 1846 abgeschafft wurden, glaubten die englischen Fabrikanten, sie hätten dadurch die grundbesitzende Aristokratie in Paupers verwandelt. Statt dessen wurde sie reicher als je vorher. Wie ging das zu? Sehr einfach. Erstens wurde von nun an von den Pächtern kontraktlich verlangt, daß sie 12 Pfd.St. statt 8 Pfd.St. jährlich auf den Acre auslegen sollten, und zweitens bewilligten sich die auch im Unterhaus sehr zahlreich vertretnen Grundherrn eine starke Staatssubvention zur Dränierung und sonstigen permanenten Verbesserung ihrer Ländereien. Da keine totale Verdrängung des schlechtesten Bodens stattfand, sondern höchstens eine, auch meist nur zeitweilige, Verwendung zu andern Zwecken, stiegen die Renten im Verhältnis der gesteigerten Kapitalanlage, und die Grundaristokratie war besser daran als je vorher.
1846: the aristocracy grows richer

When the English Corn Laws were repealed in 1846, English manufacturers thought they had turned the landowning aristocracy into paupers. Instead it became richer than ever before. How did that come about? Quite simply. First, from then on the farmers were contractually required to lay out £12 per acre a year instead of £8; and second, the landlords, who were very numerous even in the House of Commons, voted themselves a large state subsidy for draining and otherwise permanently improving their land. Since the worst land was not wholly driven out, but at most turned to other uses, and usually only for a time, rents rose in proportion to the increased capital investment, and the landed aristocracy was better off than ever before.

Aber alles ist vergänglich. Die transozeanischen Dampfschiffe und die nord- und südamerikanischen und indischen Eisenbahnen brachten ganz eigentümliche Landstrecken in die Lage, auf den europäischen Kornmärkten zu konkurrieren. Da waren einerseits die nordamerikanischen Prärien, die argentinischen Pampas, Steppen, von der Natur selbst urbar gemacht für den Pflug, jungfräulicher Boden, der auf Jahre hinaus selbst bei primitiver Kultur und ohne Dünger reichliche Erträge bot. Und da waren die Ländereien der russischen und indischen kommunistischen Gemeinwesen, die einen Teil ihres Produkts, und zwar einen stets wachsenden, verkaufen mußten, um Geld zu erhalten für die Steuern, die der erbarmungslose Despotismus des Staats ihnen abzwang - oft genug durch Tortur. Diese Produkte wurden verkauft ohne Rücksicht auf die Produktionskosten, verkauft für den Preis, den der Händler bot, weil der Bauer absolut Geld haben mußte zum Zahlungstermin. Und gegen diese Konkurrenz - des jungfräulichen Steppenbodens wie des unter der Steuerschraube erliegenden russischen und indischen Bauern - konnte der europäische Pächter und Bauer bei den alten Renten nicht aufkommen. Ein Teil des Bodens in Europa kam definitiv für den Kornbau außer Konkurrenz, die Renten fielen überall, unser zweiter Fall, Variante 2: fallender Preis und fallende Produktivität der zusätzlichen Kapitalanlagen wurde die Regel für Europa, und daher der Agrarierjammer von Schottland bis Italien und von Südfrankreich bis nach Ostpreußen. Glücklicherweise ist noch lange nicht alles Steppenland in Bebauung genommen; es ist noch übrig genug vorhanden, um den ganzen europäischen großen Grundbesitz zu ruinieren und den kleinen obendrein. - F. E.}
transoceanic competition and falling rents

But nothing lasts. Steamships crossing the ocean, and the railways of North and South America and India, put some very peculiar stretches of land in a position to compete on the European corn markets. On one side there were the North American prairies and the Argentine pampas — steppes that nature itself had made ready for the plough, virgin soil that for years on end gave rich yields even under primitive farming and without fertilizer. And on the other side there were the lands of the Russian and Indian village communes, which had to sell part of their product, and a steadily growing part at that, to get money for the taxes that the merciless despotism of the state forced out of them — often enough by torture. What these products sold for had nothing to do with what they cost to produce: they went at the price the dealer offered, since the peasant had no choice at all — he needed money by the day the payment fell due. Against this competition — from virgin steppe soil and from Russian and Indian peasants crushed under the tax screw — the European farmer and peasant could not hold out at the old rents. Part of Europe's soil was driven for good out of competition in corn growing, rents fell everywhere, our second case, variant 2 — falling price and falling productivity of the additional capital investments — became the rule for Europe, and hence the agrarian lament from Scotland to Italy and from southern France to East Prussia. Fortunately, not all the steppe land has been taken into cultivation yet — far from it; enough still remains to ruin the whole of European large-scale landownership, and small-scale ownership into the bargain. — F. E.

Kap. 43
Die Rubriken der Rente
Behind us lies a reconstruction that was not Marx's: the third case's tables, results and history were written by Engels after the draft left only the case's title. Here Marx's own text resumes. What arrives is a plan of treatment rather than a settled report. Its shape is the order: concept first, then the two forms, then the price modalities and the separate transformation, then the heads beyond differential rent. The rising-price case is the one this text will work; the transformation and those further heads remain open.
__________
*
Die Rubriken, worunter die Rente zu behandeln, sind diese:
the heads for treating rent

These are the heads under which rent is to be treated:

A. Differentialrente.
the major heading: differential rent

A. Differential rent.

1. Begriff der Differentialrente. Illustration an Wasserkraft. Übergang zur eigentlichen Ackerbaurente.
concept, water-power, agricultural rent

1. The concept of differential rent. Example of water-power. Transition to agricultural rent proper.

2. Differentialrente I, entspringend aus verschiedner Fruchtbarkeit verschiedner Bodenstücke.
rent I: varying fertility of portions

2. Differential rent I, arising from the varying fertility of different portions of land.

3. Differentialrente II, entspringend aus sukzessiver Kapitalanlage auf demselben Boden. Zu untersuchen ist Differentialrente II a) bei stationärem, b) bei fallendem, c) bei steigendem Produktionspreis. Und ferner d) Verwandlung von Surplusprofit in Rente.
the task: examine rent II

3. Differential rent II, arising from successive capital investments on the same land. Differential rent II is to be examined (a) with a stationary price of production, (b) with a falling price of production, (c) with a rising price of production. And further, (d) the transformation of surplus profit into rent.

4. Einfluß dieser Rente auf die Profitrate.
rent's influence on the profit rate

4. Influence of this rent on the rate of profit.

B. Absolute Rente.
absolute rent, a further head

B. Absolute rent.

C. Der Bodenpreis.
the price of land, a head

C. The price of land.

D. Schlußbetrachtungen über die Grundrente.
closing head: ground-rent

D. Final considerations on ground-rent.

Kap. 43
Verwandlung in Rente setzt Ausgleichung voraus
The reader arrives from Marx's own plan of heads, the list of rubrics that opens his resumed text. What Marx states in general form is the result the whole analysis of differential rent has reached: that surplus profits formed on either path become rent only through the prior equalization of the successive investments' separate production prices into one average price for the acre. That step is named here as a summing-up, not derived afresh; Marx then works it through acre B and closes on what a comparison of yields per acre cannot show.
__________
*
Als allgemeines Resultat bei der Betrachtung der Differentialrente überhaupt ergibt sich:
General result of differential rent

The overall result of looking at differential rent is this:

Erstens: Die Bildung von Surplusprofiten kann auf verschiednen Wegen erfolgen. Einerseits auf Basis der Differentialrente I, d.h. auf Basis der Anlage des gesamten Agrikulturkapitals auf einer Bodenfläche, welche aus Bodenarten verschiedner Fruchtbarkeit besteht. Ferner als Differentialrente II, auf Basis der verschiednen Differentialproduktivität sukzessiver Kapitalanlagen auf demselben Boden, d.h. hier größrer Produktivität, z.B. in qrs. Weizen, als mit derselben Kapitalanlage auf dem geringsten, rentelosen, aber den Produktionspreis regulierenden Boden bewirkt wird. Wie diese Surplusprofite aber auch entstehn mögen, ihre Verwandlung in Rente, also ihre Übertragung vom Pächter auf den Grundeigentümer, setzt als vorausgehende Bedingung stets voraus, daß die verschiednen wirklichen individuellen Produktionspreise (d.h. unabhängig von dem allgemeinen, den Markt regulierenden Produktionspreis), welche die Teilprodukte der einzelnen sukzessiven Kapitalanlagen besitzen, vorher zu einem individuellen Durchschnittsproduktionspreis ausgeglichen werden. Der Überschuß des allgemeinen, regulierenden Produktionspreises des Produkts eines Acre über diesen seinen individuellen Durchschnittsproduktionspreis bildet und mißt die Rente per Acre. Bei Differentialrente I sind die Differentialresultate an und für sich unterscheidbar, weil sie auf unterschiednen, außer- und nebeneinander liegenden Bodenteilen, bei einer als normal angenommenen Kapitalauslage per Acre und ihr entsprechender Normalbebauung stattfinden. Bei der Differentialrente II müssen sie erst unterscheidbar gemacht werden; sie müssen in der Tat in die Differentialrente I rückverwandelt werden, und dies kann nur in der angegebnen Weise geschehn. Nehmen wir z.B. die Tabelle III, S. 226 <Siehe vorl. Band, S. 700 >.
Two paths, one averaging precondition

First: surplus profits can be formed along more than one route. One route is differential rent I — the whole agricultural capital laid out over a stretch of land that takes in soils of differing fertility. The other is differential rent II, resting on how the differential productivity of successive capital investments on the same soil varies; here the investment brings more, in quarters of wheat for instance, than the same capital investment achieves on the poorest soil, the rentless one that all the same governs the production price. However such surplus profits arise, before any of them can be turned into rent — that is, before the farmer hands it over to the landowner — one thing must always hold in advance: the several actual individual production prices that the partial products of the separate successive capital investments carry (actual in the sense of being independent of the general production price that governs the market) have first to be equalized into a single individual average production price. Rent per acre is then the excess of the general, governing production price of an acre's product over that acre's own individual average production price, and that excess measures the rent. Under differential rent I, the differential results can be told apart on their own account, since they arise on separate parts of the land lying outside and beside one another, with a capital outlay per acre assumed to be normal and the normal cultivation that goes with it. Under differential rent II, they have first to be made tellable apart — they really do have to be turned back into differential rent I — and this can happen only in the way just set out. Take Table III, for example.

Boden B gibt für die erste Kapitalanlage von 2 1/2 Pfd.St. 2 qrs. per Acre und für die zweite gleich große, 1 1/2 qr.; zusammen 3 1/2 qrs. auf demselben Acre. Es ist diesen 3 1/2 qrs., die auf demselben Boden gewachsen, nicht anzusehn, was davon Produkt der Kapitalanlage I und was der Kapitalanlage II ist. Sie sind in der Tat das Produkt des Gesamtkapitals von 5 Pfd.St.; und die wirkliche Tatsache ist nur die, daß ein Kapital von 2 1/2 Pfd.St. 2 qrs. ergab und eins von 5 Pfd.St. nicht 4, sondern 3 1/2. Der Fall wäre ganz derselbe, wenn die 5 Pfd.St. 4 qrs. ergäben, so daß die Erträge beider Kapitalanlagen gleich wären, oder auch 5 qrs., so daß die zweite Kapitalanlage einen Überschuß von 1 qr. ergeben würde. Der Produktionspreis der ersten 2 qrs. ist 1 1/2 Pfd.St. per qr. und der der zweiten 1 1/2 qr. ist 2 Pfd.St. per qr. Die 3 1/2 qrs. zusammen kosten daher 6 Pfd.St. Dies ist der individuelle Produktionspreis des Gesamtprodukts und macht im Durchschnitt 1 Pfd.St. 14 2/7 sh. per qr., sage rund 1 3/4 Pfd.St. Bei dem durch den Boden A bestimmten allgemeinen Produktionspreis von 3 Pfd.St. gibt dies einen Surplusprofit von 1 1/4 Pfd.St. per qr. und also für 3 1/2 qrs. zusammen 4 3/8 Pfd.St. Bei dem Durchschnittsproduktionspreis von B stellt sich dies dar in rund 1 1/2 qr. Der Surplusprofit von B stellt sich also dar in einem aliquoten Teil des Produkts von B, den 1 1/2 qr., die die Rente in Korn ausgedrückt bilden und die sich nach dem allgemeinen Produktionspreis zu 4 1/2 Pfd.St. verkaufen. Aber umgekehrt ist das überschüssige Produkt eines Acre von B über das eines Acre von A nicht ohne weitres Darstellung von Surplusprofit und daher Surplusprodukt. Nach der Voraussetzung produziert der Acre B 3 1/2 qrs., der Acre A nur 1 qr. Das überschüssige Produkt auf B ist also 2 1/2 qrs., aber das Surplusprodukt ist nur 1 1/2 qr.; denn auf B ist das doppelte Kapital angelegt wie auf A, und daher sind die Produktionskosten hier doppelt. Fände auf A ebenfalls Anlage von 5 Pfd.St. statt und die Rate der Produktivität bliebe gleich, so wäre das Produkt 2 qrs. statt 1, und es würde sich so zeigen, daß das wirkliche Surplusprodukt gefunden wird durch Vergleichung, nicht von 3 1/2 und 1, sondern von 3 1/2 und 2; daß es also nicht 2 1/2, sondern nur 1 1/2 qr. ist. Ferner aber, wenn B eine dritte Portion Kapital von 2 1/2 Pfd.St. anlegte, die nur 1 qr. ergäbe, also dieses qr. 3 Pfd.St. kostete, wie auf A, so würde dessen Verkaufspreis von 3 Pfd.St. nur die Produktionskosten decken, nur den Durchschnittsprofit abwerfen, aber keinen Surplusprofit, also auch nichts, was sich in Rente verwandeln könnte. Das Produkt per Acre einer beliebigen Bodenart, mit dem Produkt per Acre des Bodens A verglichen, zeigt weder an, ob es das Produkt gleicher Kapitalanlage oder größrer ist noch ob das zuschüssige Produkt nur den Produktionspreis deckt oder ob es höherer Produktivität des zuschüssigen Kapitals geschuldet ist.
B: excess product, not surplus product

Land B yields 2 qrs per acre for the first capital investment of £2 1/2, and 1 1/2 qrs for the second, equally large one; 3 1/2 qrs together on the same acre. Looking at these 3 1/2 qrs, all grown on the same soil, you cannot tell which part is the product of investment I and which of investment II. They are in fact the product of the whole capital of £5; the only real fact is that a capital of £2 1/2 produced 2 qrs, and one of £5 produced not 4 but 3 1/2. The case would be exactly the same if the £5 produced 4 qrs, so that the two investments' yields were equal, or even 5 qrs, so that the second investment would yield an excess of 1 qr.

The production price of the first 2 qrs is £1 1/2 per qr, and that of the second 1 1/2 qrs is £2 per qr. The 3 1/2 qrs together therefore cost £6. That is the individual production price of the total product, and comes to an average of £1 14 2/7 sh. per qr, say roughly £1 3/4. At the general production price of £3 set by land A, this gives a surplus profit of £1 1/4 per qr, and so for the 3 1/2 qrs a total of £4 3/8. At B's average production price this is represented by roughly 1 1/2 qrs. So B's surplus profit is represented in a proportional part of B's product, the 1 1/2 qrs that form the rent expressed in corn and that sell at the general production price for £4 1/2.

But the other way round, the extra product of an acre of B over an acre of A is not automatically a representation of surplus profit and hence of surplus product. On our assumption, acre B produces 3 1/2 qrs, acre A only 1 qr. So the excess product on B is 2 1/2 qrs, but the surplus product is only 1 1/2 qrs; for twice the capital is invested on B as on A, and so the production costs there are double. If £5 were also invested on A and the rate of productivity stayed the same, the product would be 2 qrs instead of 1, and this would show that the real surplus product is found by comparing not 3 1/2 and 1 but 3 1/2 and 2; that it is therefore not 2 1/2 but only 1 1/2 qrs.

Further, if B put in a third portion of capital of £2 1/2 that yielded only 1 qr, so that this qr cost £3, as on A, then its sale price of £3 would cover only the production costs, would yield only the average profit, but no surplus profit, and hence nothing that could be turned into rent. And the product per acre of any kind of soil, compared with the product per acre of soil A, shows neither whether it is the product of an equal capital investment or a greater one, nor whether the additional product merely covers the production price or is owed to higher productivity of the additional capital.

Kap. 43
Keine Erhöhung des Preises, gleicher Surplusprofit per Acre
Behind us stands the first general result: successive capital investments on one acre are averaged into a single individual production price, and the transformation of surplus profit into rent presupposes that average. What remains open is how far additional capital investments whose productivity falls can go without forcing the governing price upward or dissolving rent already formed. Marx settles that here. He separates the limit at which new surplus profit stops from the limit at which the whole capital on the better soil would form no rent. For break-even additions at the governing price, total surplus profit per acre stays unchanged even as the surplus profit per quarter on B's new average falls.
Zweitens: Bei abnehmender Rate der Produktivität der zuschüssigen Kapitalanlagen - deren Grenze, soweit die Neubildung von Surplusprofit in Betracht kommt, diejenige Kapitalanlage ist, die nur die Produktionskosten deckt, d.h. die das qr. so teuer produziert wie dieselbe Kapitalanlage auf einem Acre des Bodens A, also nach der Voraussetzung zu 3 Pfd.St. - folgt aus dem eben Entwickelten: daß die Grenze, wo die Gesamtkapitalanlage auf den Acre von B keine Rente mehr bilden würde, die ist, wo der individuelle Durchschnittsproduktionspreis des Produkts per Acre von B auf den Produktionspreis per Acre von A steigen würde.
The limit for new surplus profit

Second: when extra capital investments bring a falling rate of productivity, the limit — as far as the forming of new surplus profit goes — is the investment that only covers its production costs, that is, one that produces a quarter as expensively as the same investment on an acre of land A, hence £3 a quarter on our assumption. What follows from what has just been developed is that the total capital investment on B's acre would no longer form any rent only at the point where B's individual average production price of the product per acre would rise to A's production price per acre.

Wenn B nur Kapitalanlagen zusetzt, die den Produktionspreis zahlen, also keinen Surplusprofit, also keine neue Rente bilden, so erhöht dies zwar den individuellen Durchschnittsproduktionspreis per qr., affiziert aber nicht den von den frühern Kapitalanlagen gebildeten Surplusprofit, eventuell die Rente. Denn der Durchschnittsproduktionspreis bleibt immer unter dem von A, und wenn der Preisüberschuß per qr. abnimmt, so nimmt die Zahl der qrs. im selben Verhältnis zu, so daß der Gesamtüberschuß des Preises konstant bleibt.
Average price up, total excess steady

If B adds only investments that pay the production price — so they form no surplus profit and no new rent — then this does raise B's individual average production price per quarter, but it leaves untouched the surplus profit formed by the earlier investments, and the rent as the case may be. For the average production price always stays below A's; and when the excess price per quarter falls, the number of quarters rises in the same proportion, so the total excess price stays constant.

Im angenommenen Fall produzieren die zwei ersten Kapitalanlagen von 5 Pfd.St. auf B 3 1/2 qrs., also nach der Voraussetzung 1 1/2 qr. Rente = 4 1/2 Pfd.St. Kommt eine dritte Kapitalanlage von 2 1/2 Pfd.St. hinzu, die aber nur ein zuschüssiges qr. produziert, so ist der Gesamtproduktionspreis (inkl. 20% Profit) der 4 1/2 qrs. = 9 Pfd.St., also der Durchschnittspreis per qr. = 2 Pfd.St. Der Durchschnittsproduktionspreis per qr. auf B ist also gestiegen von 1 5/7 Pfd.St. auf 2 Pfd.St., der Surplusprofit per qr., verglichen mit dem regulierenden Preis von A, also gefallen von 1 2/7 Pfd.St. auf 1 Pfd.St. Aber 1 × 4 1/2 = 4 1/2 Pfd.St. ganz wie früher 1 2/7 × 3 1/2 = 4 1/2 Pfd.St.
Third investment: lower surplus per quarter

In the case we have assumed, B's first two investments come to £5 and produce 3 1/2 qrs, which on our assumption is 1 1/2 qrs of rent = £4 1/2. Now a third investment of £2 1/2 is added, producing only one extra quarter. The total production price of the 4 1/2 qrs (20 per cent profit included) is then £9, so the average price per quarter is £2.

The average production price per quarter on B has thus risen from £1 5/7 to £2, and the surplus profit per quarter, measured against A's governing price, has fallen from £1 2/7 to £1. But £1 × 4 1/2 = £4 1/2, exactly as before £1 2/7 × 3 1/2 = £4 1/2.

Nehmen wir an, daß noch eine vierte und fünfte zuschüssige Kapitalanlage von je 2 1/2 Pfd.St. auf B gemacht würde, die das qr. nur zu seinem allgemeinen Produktionspreis produzierte, so wäre das Gesamtprodukt per Acre jetzt 6 1/2 qrs. und deren Produktionskosten 15 Pfd.St. Der durchschnittliche Produktionspreis per qr. für B wäre wieder gestiegen von 2 <1. Auflage: 1> Pfd.St. auf 2 4/13 Pfd.St., und der Surplusprofit per qr., verglichen mit dem regulierenden Produktionspreis von A, wäre wieder gefallen von 1 Pfd.St. auf 9/13 Pfd.St. Aber diese 9/13 Pfd.St. wären nun zu berechnen auf 6 1/2 qrs. statt auf 4 1/2. Und 9/13 × 6 1/2 = 1 × 4 1/2 = 4 1/2 Pfd.St.
Fourth and fifth investments: total unchanged

Suppose a fourth and a fifth extra investment of £2 1/2 each were also made on B, each producing its quarter only at the general production price. The total product per acre would then be 6 1/2 qrs, and its production costs £15. The average production price per quarter for B would have risen again, from £2 to £2 4/13, and the surplus profit per quarter, measured against A's governing production price, would have fallen again, from £1 to £9/13. But this £9/13 would now be reckoned on 6 1/2 quarters instead of 4 1/2. And 9/13 × 6 1/2 = £1 × 4 1/2 = £4 1/2.

Es folgt daraus zunächst, daß unter diesen Umständen keine Erhöhung des regulierenden Produktionspreises nötig ist, um zuschüssige Kapitalanlagen auf den Rente tragenden Bodenarten zu ermöglichen selbst bis zu dem Grad, wo das Zusatzkapital ganz aufhört, Surplusprofit zu liefern, und nur noch den Durchschnittsprofit abwirft. Es folgt ferner, daß hier die Summe des Surplusprofits per Acre dieselbe bleibt, wie sehr immer der Surplusprofit per qr. abnehme; diese Abnahme wird stets ausgeglichen durch entsprechende Zunahme der per Acre produzierten qrs. Damit der durchschnittliche Produktionspreis auf den allgemeinen Produktionspreis sich erhebe (also hier auf 3 Pfd.St. steige für Boden B), müßten Kapitalzusätze gemacht werden, deren Produkt einen höhern Produktionspreis hat als den regulierenden von 3 Pfd.St. Aber man wird sehn, daß selbst dies nicht ohne weiteres hinreicht, um den Durchschnittsproduktionspreis per qr. für B auf den allgemeinen Produktionspreis von 3 Pfd.St. hinaufzutreiben.
No higher governing price needed

From this it follows, first, that under these conditions no increase in the governing production price is needed to make extra investments on the rent-bearing types of land possible — even down to the point where the additional capital stops yielding surplus profit altogether and brings in only the average profit.

It follows further that here the total surplus profit per acre stays the same, however far the surplus profit per quarter may fall; that fall is always offset by a matching increase in the quarters produced per acre.

For B's average production price to rise to the general production price — that is, to climb to £3 here — capital would have to be added whose product has a higher production price than the governing £3. But we shall see that even this is not by itself enough to drive B's average production price per quarter up to the general production price of £3.

Kap. 43
Die Rente muß nicht verschwinden, sondern nur abnehmen
The preceding movement stopped at the capital investment whose product costs exactly what the governing price pays, and found that such an addition disturbs neither the surplus profit already formed nor the price itself. What arrives now is one step past that limit: capital investments whose product costs more than the governing price. The sums are worked and the assumption is hardened. Does rent survive such additional investments — is it extinguished, or only reduced?
Nehmen wir an, es wären auf Boden B produziert worden:
the assumed case on land B

Suppose production on land B had been as follows:

1. 3 1/2 qrs. wie vorhin zu 6 Pfd.St. Produktionspreis; also zwei Kapitalanlagen von je 2 1/2 Pfd.St., die beide Surplusprofite bilden, aber von abnehmender Höhe.
first item: two investments

1. 3 1/2 qrs, just as before, with a production price of £6. That is two capital investments, £2 1/2 each, and each one forms surplus profit — though the surplus profit keeps shrinking.

2. 1 qr. zu 3 Pfd.St.; eine Kapitalanlage, wo der individuelle Produktionspreis gleich wäre dem regulierenden Produktionspreis.
second item: at the governing price

2. 1 qr at £3 — a capital investment whose individual production price would be equal to the governing production price.

3. 1 qr. zu 4 Pfd.St.; eine Kapitalanlage, wo der individuelle Produktionspreis 33 1/3 % <1. Auflage: 25%> höher ist als der regulierende Preis.
third item: above the governing price

3. 1 qr at £4 — a capital investment whose individual production price is 33 1/3 per cent higher than the governing price.

Wir hätten dann 5 1/2 qrs. per Acre zu 13 Pfd.St., bei einer Kapitalanlage von 10 7/10 Pfd.St. <1. Auflage: 10 Pfd.St.>, viermal die ursprüngliche Kapitalanlage, aber noch nicht dreimal das Produkt der ersten Kapitalanlage.
capital fourfold, crop not yet threefold

The acre would then carry 5 1/2 qrs, their production price £13, on a capital outlay of £10 7/10. That is four times the capital first laid out — and yet the product is not yet three times what the first outlay produced.

5 1/2 qrs. zu 13 Pfd.St. gibt 2 4/11 Pfd.St. Durchschnittsproduktionspreis per qr., also beim regulierenden Produktionspreis von 3 Pfd.St. einen Überschuß von 7/11 Pfd.St. per qr., der sich in Rente verwandeln kann. 5 1/2 qrs. zum Verkauf zum regulierenden Preis von 3 Pfd.St. geben 16 1/2 Pfd.St. Nach Abzug der Produktionskosten von 13 Pfd.St. bleiben 3 1/2 Pfd.St. Surplusprofit oder Rente, die zum jetzigen Durchschnittsproduktionspreis des qr. für B, also zu 2 4/11 Pfd.St. per qr. berechnet, 1 25/52 qr. <1. Auflage: 1 5/72 > repräsentieren. Die Geldrente wäre um 1 Pfd.St. gefallen, die Kornrente um ungefähr 1/2 qr., aber trotzdem, daß die vierte zuschüssige Kapitalanlage auf B nicht nur keinen Surplusprofit, sondern weniger als den Durchschnittsprofit produziert, existiert nach wie vor Surplusprofit und Rente. Nehmen wir an, daß außer der Kapitalanlage 3 auch die unter 2 über dem regulierenden Produktionspreis produziert, so ist die Gesamtproduktion: 3 1/2 qrs. zu 6 Pfd.St. + 2 qrs. zu 8 Pfd.St., zusammen 5 1/2 qrs. zu 14 Pfd.St. Produktionskosten. Der Durchschnittsproduktionspreis per qr. wäre 2 6/11 Pfd.St. und ließe einen Überschuß von 5/11 Pfd.St. Die 5 1/2 qrs., verkauft zu 3 Pfd.St., ergeben 16 1/2 Pfd.St.; davon ab die 14 Pfd.St. Produktionskosten, läßt 2 1/2 Pfd.St. für Rente. Dies gäbe beim jetzigen durchschnittlichen Produktionspreis auf B 55/56 qr. Es fällt also noch immer Rente ab, obwohl weniger als vorher.
four investments averaged into rent

Take the 5 1/2 qrs at £13. That works out to an average production price for B of £2 4/11 per qr. Against the governing production price of £3 this leaves an excess of £7/11 per qr, and that excess can be turned into rent. Sell the 5 1/2 qrs at the governing price of £3 and £16 1/2 comes in. The production costs are £13; what is left over is £3 1/2, surplus profit or rent.

At B's present average production price of £2 4/11 per qr, that £3 1/2 stands for 1 25/52 qrs. The money rent would have fallen by £1 and the corn rent by about 1/2 qr. But the fourth additional capital investment on B produces no surplus profit at all — it produces less than the average profit — and even so, surplus profit and rent are still there.

Now suppose that not only the capital investment listed under item 3, but the one under item 2 as well, produces above the governing production price. Total production is then 3 1/2 qrs at £6 plus 2 qrs at £8, altogether 5 1/2 qrs at £14 of production costs. The average production price per qr would be £2 6/11 and would leave an excess of £5/11. Sell the 5 1/2 qrs at £3 and you get £16 1/2; subtract the £14 of production costs and £2 1/2 is left for rent. At B's present average production price, that would be 55/56 qrs. So rent still accrues — less than before, but it still accrues.

Es zeigt uns dies jedenfalls, daß auf den bessern Ländereien mit zusätzlichen Kapitalanlagen, deren Produkt mehr kostet als der regulierende Produktionspreis, die Rente, wenigstens innerhalb der Grenzen der zulässigen Praxis, nicht verschwinden, sondern nur abnehmen muß, und zwar im Verhältnis einerseits des aliquoten Teils, den dieses unfruchtbarere Kapital von der gesamten Kapitalauslage bildet, andrerseits der Abnahme seiner Fruchtbarkeit. Der Durchschnittspreis seines Produkts stände immer noch unter dem regulierenden Preis und ließe daher immer noch einen in Rente verwandelbaren Surplusprofit.
within practical limits, rent only falls

At any rate this shows us that on the better lands, when extra capital investments are put in whose product costs more than the governing production price, the rent does not vanish — at least within the limits of permissible practice. It only has to decline. And it declines in proportion to two things: the share of the whole capital outlay that this less fruitful capital makes up, and the drop in its productivity.

The average price of the whole product grown on that land would still lie below the governing price, and so would still leave a surplus profit that can be turned into rent.

Kap. 43
Die Rente verschwindet bei gleichbleibendem Produktionspreis
The reader arrives carrying a rent that has been made to fall without disappearing: additional capital whose product costs more than the governing price reduces rent in proportion to its share and to the fall in its productivity, yet leaves some rent behind. The question now is whether rent can vanish altogether without the price of corn rising, while the farmer's ordinary profit remains intact and A still governs.
Nehmen wir nun an, daß der Durchschnittspreis des qr. von B zusammenfällt mit dem allgemeinen Produktionspreis, infolge von vier sukzessiven Kapitalanlagen (2 1/2, 2 1/2, 5 und 5 Pfd.St.) mit abnehmender Produktivität.
Four investments: larger later, falling productivity

Now suppose that the average price of a quarter on B comes out the same as the general production price. That comes about through four investments of capital made one after another on B — £2 1/2, £2 1/2, £5 and £5 — each less productive than the one before it.

Kapital Profit Ertrag Produktionskosten Verkaufspreis Ertrag Surplus für Rente per qr. zusammen
Pfd.St. Pfd.St. qrs. Pfd.St. Pfd.St. Pfd.St. Pfd.St. qrs. Pfd.St.
1. 2 1/2 1/2 2 1 1/2 3 3 6 1 3
2. 2 1/2 1/2 1 1/2 2 3 3 4 1/2 1/2 1 1/2
3. 5 1 1 1/2 4 6 3 4 1/2 - 1/2 -1 1/2
4. 5 1 1 6 6 3 3 -1 -3
15 3 6 18 18 0 0
Capital (£) Profit (£) Output (qrs) Price of production Selling price (£) Proceeds (£) Surplus for rent
per qr (£) total (£) qrs £
1) 2 1/2 1/2 2 1 1/2 3 3 6 1 3
2) 2 1/2 1/2 1 1/2 2 3 3 4 1/2 1/2 1 1/2
3) 5 1 1 1/2 4 6 3 4 1/2 -1/2 -1 1/2
4) 5 1 1 6 6 3 3 -1 -3
15 3 6 18 18 0 0
Der Pächter verkauft hier jedes qr. zu seinem individuellen Produktionspreis und daher die Gesamtzahl der qrs. zu ihrem Durchschnittsproduktionspreis per qr., der mit dem regulierenden Preis von 3 Pfd.St. zusammenfällt. Er macht daher auf sein Kapital von 15 Pfd.St. nach wie vor einen Profit von 20% = 3 Pfd.St. Aber die Rente ist verschwunden. Wo ist der Überschuß hingekommen bei dieser Ausgleichung der individuellen Produktionspreise jedes qr. mit dem allgemeinen Produktionspreis?
profit unchanged, rent gone

Here the farmer sells every quarter at its own individual production price, and so the whole number of quarters at their average production price per quarter — which is the same as the £3 that governs the price. So he still makes 20 per cent on his capital of £15, that is £3. But the rent has disappeared. Where has the surplus gone, in this evening-out of each quarter's individual production price with the general production price?

Der Surplusprofit auf die ersten 2 1/2 Pfd.St. war 3 Pfd.St.; auf die zweiten 2 1/2 Pfd.St. war er 1 1/2 Pfd.St.; zusammen Surplusprofit auf 1/3 des vorgeschoßnen Kapitals, also auf 5 Pfd.St. = 4 1/2 Pfd.St. = 90%.
First two investments' surplus profit

The first £2 1/2 yielded £3 of surplus profit, the second £2 1/2 yielded £1 1/2. On the £5 that these two together make up — one third of the capital advanced — the surplus profit comes to £4 1/2, which is 90 per cent.

Bei Kapitalanlage 3 geben 5 Pfd.St. nicht nur keinen Surplusprofit, sondern ihr Produkt von 1 1/2 qr., zum allgemeinen Produktionspreis verkauft, gibt ein Minus von 1 1/2 Pfd.St. Endlich bei Kapitalanlage 4 von ebenfalls 5 Pfd.St. gibt ihr Produkt von 1 qr., zum allgemeinen Produktionspreis verkauft, ein Minus von 3 Pfd.St. Beide Kapitalanlagen zusammen ergeben also ein Minus von 4 1/2 Pfd.St., gleich dem Surplusprofit von 4 1/2 Pfd.St., der sich auf Kapitalanlagen 1 und 2 ergab.
the later investments' deficits

With the third investment, the £5 brings no surplus profit at all, and its product of 1 1/2 qrs, sold at the general production price, shows a deficit of £1 1/2. Finally, with the fourth investment, also of £5, its product of 1 qr, sold at the general production price, shows a deficit of £3. Both investments together therefore come to a deficit of £4 1/2 — the same as the £4 1/2 of surplus profit that the first and second investments brought in.

Die Surplus- und Minusprofite gleichen sich aus. Daher verschwindet die Rente. In der Tat ist dies aber nur möglich, weil die Elemente des Mehrwerts, die Surplusprofit oder Rente bildeten, jetzt in die Bildung des Durchschnittsprofits eingehn. Der Pächter macht diesen Durchschnittsprofit von 3 Pfd.St. auf 15 Pfd.St. oder von 20% auf Kosten der Rente.
surpluses and deficits cancel; rent vanishes

On one side there are surplus profits, on the other losses of profit, and the two balance out. So the rent vanishes. In fact, however, this can happen only because the elements of surplus-value that formed surplus profit or rent now enter into the formation of average profit. The farmer's average profit here is £3 on £15, or 20 per cent, and he makes it at the rent's expense.

Die Ausgleichung des individuellen Durchschnittsproduktionspreises von B zum allgemeinen, den Marktpreis regulierenden Produktionspreis von A setzt voraus, daß die Differenz, um welche der individuelle Preis des Produkts der ersten Kapitalanlagen unter dem regulierenden Preis steht, mehr und mehr aufgewogen und zuletzt ausgeglichen wird durch die Differenz, um welche das Produkt der spätern Kapitalanlagen über den regulierenden Preis zu stehn kommt. Was als Surplusprofit erscheint, solange das Produkt der ersten Kapitalanlagen für sich verkauft wird, wird so nach und nach Teil ihres durchschnittlichen Produktionspreises und geht damit in die Bildung des Durchschnittsprofits ein, bis es schließlich ganz von ihm absorbiert wird.
gradually absorbed into the average profit

For B's individual average production price to even out with the general production price of A — the one that governs the market price — the gap by which the individual price of the earlier investments' product sits below the governing price has to be offset more and more, and finally cancelled, by the gap by which the later investments' product comes to sit above the governing price. What shows up as surplus profit as long as the earlier investments' product is sold on its own thus bit by bit becomes part of their average production price, and so enters the formation of the average profit, until at last the average profit swallows it whole.

Werden, statt 15 Pfd.St. Kapital auf B anzulegen, nur 5 Pfd.St. auf B angelegt und die zuschüssigen 2 1/2 qrs. der letzten Tabelle dadurch produziert, daß 2 1/2 Acres von A mit Kapitalanlage von 2 1/2 Pfd.St. per Acre neu bebaut würden, so betrüge das ausgelegte Zuschußkapital nur 6 1/4 Pfd.St., also die Gesamtauslage auf A und B zur Produktion dieser 6 qrs. nur 11 1/4 Pfd.St. statt 15 Pfd.St. und die Gesamtproduktionskosten derselben inkl. Profit 13 1/2 Pfd.St. Die 6 qrs. würden nach wie vor zusammen zu 18 Pfd.St. verkauft, aber die Kapitalauslage hätte um 3 3/4 Pfd.St. abgenommen, und die Rente auf B betrüge wie früher 4 1/2 Pfd.St. per Acre. Anders verhielte sich die Sache, wenn zur Produktion der zuschüssigen 2 1/2 qrs. zu schlechterm Boden als A, zu A-1, A-2 Zuflucht genommen werden müßte; so daß der Produktionspreis per qr. für 1 1/2 qr. auf Boden A-1 = 4 Pfd.St. und für das letzte qr. auf A-2 = 6 Pfd.St. In diesem Fall würde 6 Pfd.St. der regulierende Produktionspreis per qr. Die 3 1/2 qrs. von B würden verkauft zu 21 Pfd.St. statt zu 10 1/2 Pfd.St., was eine Rente gäbe von 15 Pfd.St. statt 4 1/2 Pfd.St., und in Korn von 2 1/2 qrs. statt 1 1/2 qr. Ebenso würde auf A das eine qr. jetzt eine Rente von 3 Pfd.St. tragen = 1/2 qr.
two routes for the extra corn

If, instead of laying £15 of capital on B, only £5 is laid on B, and the extra 2 1/2 qrs of the last table are produced by farming 2 1/2 new acres of A with £2 1/2 of capital per acre, then the extra capital laid out would be only £6 1/4, so the whole outlay on A and B to produce these 6 qrs would be only £11 1/4 instead of £15, and their total production costs including profit £13 1/2. The 6 qrs would still all sell for £18; but the capital laid out would have fallen by £3 3/4, and the rent on B would come to £4 1/2 per acre, as before.

It would be a different story if, to produce the extra 2 1/2 qrs, recourse had to be had to worse soil than A, to A-1 and A-2, so that the production price per qr came to £4 for 1 1/2 qrs on A-1 and £6 for the last qr on A-2. In that case £6 would be the governing production price per qr. B's 3 1/2 qrs would sell for £21 instead of £10 1/2, which would give a rent of £15 instead of £4 1/2, and in corn 2 1/2 qrs instead of 1 1/2 qrs. In the same way, on A the one quarter would now carry a rent of £3 = 1/2 qr.

Bevor wir auf diesen Punkt weiter eingehn, noch eine Bemerkung.
one remark first

Before we go further into this point, one more remark.

Der Durchschnittspreis des qr. von B gleicht sich aus, fällt zusammen mit dem durch A regulierten allgemeinen Produktionspreis von 3 Pfd.St. per qr., sobald der Teil des Gesamtkapitals, der die überschüssigen 1 1/2 qrs. produziert, aufgewogen wird durch den Teil des Gesamtkapitals, der die unterschüssigen 1 1/2 qrs. produziert. Wie bald diese Ausgleichung erreicht wird oder wieviel Kapital mit unterschüssiger Produktivkraft auf B dazu angelegt werden muß, hängt, die Surplusproduktivität der ersten Kapitalanlagen als gegeben vorausgesetzt, ab von der relativen Unterproduktivität der später angelegten Kapitale, verglichen mit gleich großer Kapitalanlage auf dem schlechtesten regulierenden Boden A, oder von dem individuellen Produktionspreis ihres Produkts, verglichen mit dem regulierenden Preis.
When B's average reaches £3

B's average price per quarter levels out and comes to coincide with the general production price of £3 per qr. governed by A, as soon as the part of the total capital that turns out the excess 1 1/2 qrs is counterbalanced by the part of the total capital that turns out the 1 1/2 qrs falling short. How soon this equalization is reached, or how much capital of deficient productivity must be invested in B to bring it about, depends — with the surplus productivity of the first investments taken as given — on the relative underproductivity of the capital invested later, compared with an equally large investment on the poorest price-governing land A, or on the individual production price of its product compared with the governing price.

Kap. 43
Rente per Acre: Steigen, Gleichbleiben oder Fallen
The reader arrives from the case where rent vanished at an unchanged £3. What is settled here is not a rising price but the general shape of differential rent II when additional capital is laid out on the same soil and the governing production price normally stays the same. The three cases are ordered by what happens to the absolute amount of corn and money rent per acre, while the rate on the capital advanced moves otherwise. Marx states these as results drawn from the preceding analysis, and he names the single condition under which rent is extinguished.
__________
*
Es ergibt sich zunächst aus dem Bisherigen:
what the earlier analysis yields

To start with, this follows from everything that has come before.

Erstens. Solange die zuschüssigen Kapitale auf demselben Boden mit Surplusproduktivität, wenn auch abnehmender, angelegt werden, wächst die absolute Korn- und Geldrente per Acre, obgleich sie relativ, im Verhältnis zum vorgeschoßnen Kapital (also die Rate des Surplusprofits oder der Rente) abnimmt. Die Grenze wird hier gebildet durch dasjenige zuschüssige Kapital, welches nur den Durchschnittsprofit abwirft oder für dessen Produkt der individuelle Produktionspreis mit dem allgemeinen zusammenfällt. Der Produktionspreis bleibt unter diesen Umständen derselbe, falls nicht durch die vermehrte Zufuhr die Produktion von den schlechtern Bodenarten überflüssig wird. Selbst bei fallendem Preise können diese zuschüssigen Kapitale, innerhalb gewisser Grenzen, noch einen Surplusprofit, wenn auch geringeren, produzieren.
first case: rent rises, rate falls

First. So long as extra capitals are laid out on the same soil with surplus productivity — even a shrinking one — the absolute corn rent and money rent per acre grow, while relatively, measured against the capital advanced (that is, as the rate of surplus profit or of rent), they fall.

The limit here is set by that extra capital which yields only the average profit, or whose product carries an individual production price equal to the general one.

Under these circumstances the production price stays the same, unless the increased supply makes production from the poorer types of soil superfluous. Even with a falling price, these extra capitals can still produce a surplus profit, even if a smaller one, within certain limits.

Zweitens. Die Anlage von Zuschußkapital, das nur den Durchschnittsprofit produziert, dessen Surplusproduktivität also = 0, ändert nichts an der Höhe des gebildeten Surplusprofits und daher der Rente. Der individuelle Durchschnittspreis des qr. wächst dadurch auf den bessern Bodenarten; der Überschuß per qr. nimmt ab, aber die Anzahl der qrs., die diesen verminderten Überschuß tragen, nimmt zu, so daß das Produkt dasselbe bleibt.
second case: surplus productivity zero

Second. Laying out extra capital that produces only the average profit — whose surplus productivity is therefore zero — changes nothing in the amount of surplus profit formed, and so nothing in the rent. It does make the individual average price per quarter rise on the better soils. The excess per quarter shrinks, but the number of quarters carrying that smaller excess grows, so the two together give the same product as before.

Drittens. Zuschüssige Kapitalanlagen, bei deren Produkt der individuelle Produktionspreis über dem regulierenden Preis steht, bei denen also die Surplusproduktivität nicht nur = 0 ist, sondern weniger als Null, ein Minus, d.h. geringer als die Produktivität gleicher Kapitalanlage auf den regulierenden Boden A, bringen den individuellen Durchschnittspreis des Gesamtprodukts des bessern Bodens immer näher dem allgemeinen Produktionspreis, vermindern also immer mehr die Differenz zwischen beiden, die den Surplusprofit resp. die Rente bildet. Es geht mehr und mehr von dem, was Surplusprofit oder Rente bildete, in die Bildung des Durchschnittsprofits ein. Aber dennoch fährt das auf den Acre von B angelegte Gesamtkapital fort, Surplusprofit abzuwerfen, obgleich abnehmend mit der zunehmenden Masse des Kapitals von unterschüssiger Produktivität und mit dem Grad dieser Unterproduktivität. Die Rente, bei wachsendem Kapital und zunehmender Produktion, fällt hier absolut per Acre, nicht wie im zweiten Fall nur relativ in bezug auf die wachsende Größe des angelegten Kapitals.
third case: rent falls absolutely

Third. Extra capital investments whose product has an individual production price above the governing price — where surplus productivity is not merely zero but less than zero, a minus, that is, less than the productivity of the same capital laid out on the governing soil A — bring the individual average price of the better soil's total product ever closer to the general production price. So they keep shrinking the difference between the two, and that difference is what forms the surplus profit, or the rent. More and more of what formed surplus profit or rent goes into forming the average profit.

Yet even so, the total capital laid out on an acre of B goes on yielding surplus profit — though a shrinking one, as the mass of underproductive capital grows and as that underproductivity deepens.

Here the rent falls absolutely per acre, as capital grows and production increases; it does not, as in the second case, fall only relatively, against the growing size of the capital invested.

Erlöschen kann die Rente nur, sobald der individuelle Durchschnittsproduktionspreis des Gesamtprodukts auf dem bessern Boden B zusammenfällt mit dem regulierenden Preis, der ganze Surplusprofit der ersten produktiveren Kapitalanlagen also verbraucht worden ist zur Bildung des Durchschnittsprofits.
the one condition for extinction

Rent can be extinguished on one condition only: the individual average production price of the whole product grown on the better soil B has to meet the governing price — which means the entire surplus profit from the first, more productive capital investments has been used up in forming the average profit.

Kap. 43
Die Minimalgrenze: Rente verschwindet, Preis unverändert
The reader arrives knowing that additional capital on better land can raise, leave level, or lower rent, depending on its surplus productivity, and that this movement is relative to the capital advanced, not a simple direction. What Marx settles now is the limit of that fall. Rent per acre may begin to fall with the first additional capital of deficient productivity, but it does not vanish then; the disappearance comes at a later point, and the further question is whether the governing production price moves when it comes. Those answers belong to the argument below.
Die Minimalgrenze des Falls der Rente per Acre ist der Punkt, wo sie verschwindet. Aber dieser Punkt tritt ein, nicht, sobald die zuschüssigen Kapitalanlagen mit Unterproduktivität produzieren, sondern sobald die zuschüssige Anlage der unterproduktiven Kapitalteile so groß wird, daß ihre Wirkung die überschüssige Produktivität der ersten Kapitalanlagen aufhebt und die Produktivität des angelegten Gesamtkapitals gleich wird der des Kapitals auf A und daher der individuelle Durchschnittspreis des qr. auf B gleich dem des qr. auf A.
rent's floor: where it vanishes

The rent per acre can fall, but it has a floor: the point where it disappears. That point is not reached as soon as extra capital put into the land starts producing with deficient productivity. It comes only when the deficiently productive part of that extra capital grows so large that its effect cancels out the surplus productivity of the first investments, the whole capital invested becomes as productive as the capital on A, and the individual average price per quarter on B therefore equals the price per quarter on A.

Auch in diesem Fall bliebe der regulierende Produktionspreis, 3 Pfd.St. per qr., derselbe, obgleich die Rente verschwunden wäre. Erst über diesen Punkt hinaus müßte der Produktionspreis steigen infolge von Zunahme, sei es des Grads der Unterproduktivität des zuschüssigen Kapitals, sei es der Größe des zuschüssigen Kapitals von derselben Unterproduktivität. Würden z.B. oben in der Tabelle S. 265 < Siehe vorl. Band, S. 741 > statt 1 1/2 qr. 2 1/2 qrs. zu 4 Pfd.St. per qr. auf demselben Boden produziert, so hätten wir im ganzen 7 qrs. zu 22 Pfd.St. Produktionskosten; das qr. würde kosten 3 1/7 Pfd.St.; also um 1/7 über dem allgemeinen Produktionspreis stehn, der steigen müßte.
£3 holds through the vanishing point

Even then, the governing price of production would remain the same — £3 per quarter — although the rent would have vanished. Only past that point would the production price have to rise, because of an increase either in the degree of deficient productivity of the extra capital, or in the amount of extra capital at the same deficient productivity. Suppose, for instance, that in the table above 2 1/2 quarters were produced at £4 per quarter on the same soil instead of 1 1/2: we would then have 7 quarters in all for £22 in production costs. A quarter would cost £3 1/7, so it would stand 1/7 above the general production price, which would then have to rise.

Es könnte also noch lange zuschüssiges Kapital mit Unterproduktivität und selbst zunehmender Unterproduktivität angewandt werden, bis der individuelle Durchschnittspreis des qr. auf den besten Ländereien dem allgemeinen Produktionspreis gleich würde, bis der Überschuß des letztern über den erstern und damit der Surplusprofit und die Rente ganz verschwunden wäre.
underproductive extra capital can run for long

So extra capital could go on being applied with deficient productivity — and even with productivity falling further and further — for a long time, until the individual average price per quarter on the best lands came to equal the general production price, and until the excess of the latter over the former, and with it surplus profit and rent, had completely disappeared.

Und selbst in diesem Fall würde mit Auslöschung der Rente auf den bessern Bodenarten der individuelle Durchschnittspreis ihres Produkts erst zusammenfallen mit dem allgemeinen Produktionspreis, wäre also noch kein Steigen des letztern erheischt.
no price rise at rent's extinction

And even in that case, when rent on the better types of soil is wiped out, the individual average price of their product would only then coincide with the general production price; so no rise in that general price would yet be required.

Im obigen Beispiel wurden auf dem bessern Boden B, der aber der unterste in der Reihe der bessern oder Rente tragenden Bodenarten ist, 3 1/2 qrs. durch ein Kapital von 5 Pfd.St. mit Surplusproduktivität und 2 1/2 qrs. durch ein Kapital von 10 Pfd.St. mit Unterproduktivität erzeugt, zusammen 6 qrs., also 5/12 durch die letztern, mit Unterproduktivität angelegten Kapitalteile. Und erst auf diesem Punkt steigt der individuelle Durchschnittsproduktionspreis der 6 qrs. auf 3 Pfd.St. per qr., fällt also zusammen mit dem allgemeinen Produktionspreis.
B's quantities at the threshold

In the example above, on the better soil B — which is still the lowest in the series of better, rent-bearing types of soil — 3 1/2 quarters were produced by a capital of £5 with surplus productivity, and 2 1/2 quarters by a capital of £10 with deficient productivity. That is 6 quarters in all, so 5/12 of them came from the portions of capital applied with deficient productivity. And only at this point does the individual average production price of the 6 quarters rise to £3 per quarter, coinciding with the general production price.

Kap. 43
Grundeigentum: künstliche Schranke, früheres Steigen des Produktionspreises
The reader arrives with an averaging: successive capital investments on one acre were treated as fusing into a single individual production price, and a run of less productive investments could reduce the surplus profit without abolishing it, while the governing price stayed unchanged. The law of landed property withdraws that permission. Once the farmer owes a fixed rent on the first investments, the later shortfalls cannot be set against the earlier surplus, because that surplus has gone to the landowner. Marx settles the barrier this creates: the limit is capital producing only at the general production price, the price must rise if more is needed, and differential rent's formal character must be held beside its real effect on the price rise's timing.
Unter dem Gesetz des Grundeigentums hätten jedoch nicht die letzten 2 1/2 qrs. in dieser Weise zu 3 Pfd.St. per qr. produziert werden können, mit Ausnahme des Falls, wo sie auf 2 1/2 neuen Acres der Bodenart A produziert werden könnten. Der Fall, wo das zuschüssige Kapital nur noch zum allgemeinen Produktionspreis produziert, hätte die Grenze gebildet. Über sie hinaus müßte die zuschüssige Kapitalanlage auf demselben Boden aufhören.
the limit landed property sets

But under the law of landed property, those last 2 1/2 qrs could not have been produced that way at £3 a quarter. The one exception would be if they could be produced on 2 1/2 new acres of type A land. A capital investment that produced only at the general production price would have set the limit; past that point, any further capital put into the same land would have had to stop.

Hat der Pächter nämlich für die zwei ersten Kapitalanlagen einmal 4 1/2 Pfd.St. Rente zu zahlen, so muß er sie fortzahlen, und jede Kapitalanlage, die das qr. unter 3 Pfd.St. produziert, würde ihm einen Abzug von seinem Profit verursachen. Die Ausgleichung des individuellen Durchschnittspreises, bei Unterproduktivität, ist dadurch verhindert.
the fixed rent blocks averaging

Once the farmer owes £4 1/2 in rent for the first two capital investments, he has to keep paying it. And any further capital investment that produces its quarter less productively would take part of his profit out of his pocket. What blocks the individual average price from being evened out is that fixed rent he must go on paying, and it does so when productivity falls short.

Nehmen wir diesen Fall bei dem vorigen Beispiel, wo der Produktionspreis des Bodens A von 3 Pfd.St. per qr. den Preis für B reguliert.
applying the limit to the example

Let us take this case in the earlier example, where £3 per qr, the production price on land A, is what governs the price for B.

Kapital Profit Produktionskosten Ertrag Produktionskosten per qr. Verkaufspreis Surplusprofit Verlust per qr. zus.
Pfd.St. Pfd.St. Pfd.St. qrs. Pfd.St. Pfd.St. Pfd.St. Pfd.St. Pfd.St.
2 1/2 1/2 3 2 1 1/2 3 6 3 -
2 1/2 1/2 3 1 1/2 2 3 4 1/2 1 1/2 -
5 1 6 1 1/2 4 3 4 1/2 - 1 1/2
5 1 6 1 6 3 3 - 3
15 3 18 18 4 1/2 4 1/2
Capital (£) Profit (£) Price of production (£) Output (qrs) Price of production per qr (£) Selling price Surplus profit (£) Loss (£)
per qr (£) total (£)
2 1/2 1/2 3 2 1 1/2 3 6 3 -
2 1/2 1/2 3 1 1/2 2 3 4 1/2 1 1/2 -
5 1 6 1 1/2 4 3 4 1/2 - 1 1/2
5 1 6 1 6 3 3 - 3
15 3 18 18 4 1/2 4 1/2
Die Produktionskosten der 3 1/2 qrs. auf die zwei ersten Kapitalanlagen sind ebenfalls 3 Pfd.St. per qr. für den Pächter, da er eine Rente von 4 1/2 Pfd.St. zu zahlen hat, bei dem also die Differenz zwischen seinem individuellen Produktionspreis und dem allgemeinen Produktionspreis nicht in seine Tasche fließt. Für ihn also kann der Überschuß des Preises des Produkts der zwei ersten Kapitalanlagen nicht zur Ausgleichung des Defizits bei den Produkten der dritten und vierten Kapitalanlage dienen.
why the surplus cannot offset

For the farmer, the production costs of the 3 1/2 qrs from the first two capital investments also come to £3 a quarter. That is because he owes £4 1/2 in rent: the difference between his own production price and the general production price does not go into his pocket. So for him the surplus in the price of what the first two investments produce cannot be used to make up the shortfall on what the third and fourth investments produce.

Die 1 1/2 qrs. auf Kapitalanlage 3 kosten dem Pächter, Profit eingerechnet, 6 Pfd.St.; er kann sie aber, beim regulierenden Preis von 3 Pfd.St. per qr., nur für 4 1/2 Pfd.St. verkaufen. Er würde also nicht nur den ganzen Profit verlieren, sondern obendrein 1/2 Pfd.St. oder 10% vom angelegten Kapital von 5 Pfd.St. Der Verlust an Profit und Kapital bei Anlage 3 betrüge für ihn 1 1/2 Pfd.St. und bei Kapitalanlage 4 3 Pfd.St., zusammen 4 1/2 Pfd.St., gerade soviel, wie die Rente für die bessern Kapitalanlagen beträgt, deren individueller Produktionspreis aber ebendeshalb nicht ausgleichend eingehn kann in den individuellen Durchschnittsproduktionspreis des Gesamtprodukts von B, weil sein Überschuß als Rente an einen Dritten fortgezahlt ist.
the loss equals the rent

The 1 1/2 qrs from capital investment (3) cost the farmer £6, profit included; but at the £3 a quarter that governs the market he can sell them for only £4 1/2. So he would lose his whole profit and £1/2 on top of that — 10 per cent of the £5 of capital he put in. His loss of profit and capital would be £1 1/2 on the third investment and £3 on the fourth, making £4 1/2 in all — exactly what the rent on the better capital investments comes to. And the individual production price of those better investments cannot go into the individual average production price of B's whole product as a balancing item, because their surplus is paid away as rent to a third party.

Wäre es für den Bedarf nötig, die zuschüssigen 1 1/2 qrs. durch die dritte Kapitalanlage zu produzieren, so müßte der regulierende Marktpreis auf 4 Pfd.St. per qr. steigen. Infolge dieser Verteurung des regulierenden Marktpreises würde die Rente auf B für die erste und zweite Kapitalanlage steigen und auf A eine Rente gebildet werden.
when the extra output is needed

If the need were there for the extra 1 1/2 qrs to be produced by the third capital investment, the governing market price would have to rise to £4 a quarter. That rise would push up B's rent on the first and second capital investments, and a rent would form on A.

Obgleich also die Differentialrente nur formelle Verwandlung von Surplusprofit in Rente ist, das Grundeigentum hier den Eigentümer nur befähigt, den Surplusprofit vom Pächter auf sich zu übertragen, zeigt sich doch, daß die sukzessive Anlage von Kapital auf dieselbe Bodenstrecke, oder was dasselbe, die Vermehrung des auf derselben Bodenstrecke angelegten Kapitals, bei abnehmender Rate der Produktivität des Kapitals und gleichbleibendem regulierenden Preis, viel eher seine Grenze findet, in der Tat also mehr oder weniger eine künstliche Schranke findet infolge der bloß formellen Verwandlung von Surplusprofit in Grundrente, welche Folge des Grundeigentums ist. Das Steigen des allgemeinen Produktionspreises, das hier bei engerer Grenze als sonst nötig wird, ist hier also nicht nur Grund des Steigens der Differentialrente, sondern die Existenz der Differentialrente als Rente ist zugleich Grund des frühern und raschern Steigens des allgemeinen Produktionspreises, um dadurch die Zufuhr des nötig gewordnen vermehrten Produkts zu sichern.
formal transformation, real barrier

So although differential rent is nothing but the formal transformation of surplus profit into rent — landed property here only enables the owner to shift the farmer's surplus profit over to himself — it still turns out that piling capital onto the same stretch of land, which is the same thing as increasing the capital invested there, finds its limit much sooner when the productivity of capital is falling and the governing price stays the same. In fact it runs into a more or less artificial barrier, and that barrier comes from the merely formal transformation of surplus profit into ground-rent, which is what landed property brings about. The rise in the general production price, which becomes necessary here at a narrower limit than would otherwise be needed, is therefore not just the reason the differential rent rises: the existence of differential rent as rent is at the same time a reason the general production price rises earlier and faster, so as to secure, in that way, the supply of the increased product that has become necessary.

Es ist ferner zu bemerken:
one more point to note

There is a further point to note:

Durch Zuschuß von Kapital auf Boden B könnte der regulierende Preis nicht, wie oben, auf 4 Pfd.St. steigen, wenn Boden A durch zweite Kapitalanlage das zuschüssige Produkt unter 4 Pfd.St. lieferte oder wenn neuerer schlechterer Boden als A in Konkurrenz käme, dessen Produktionspreis zwar über 3, aber unter 4 Pfd.St. wäre. Man sieht so, wie Differentialrente I und Differentialrente II, während die erste Basis der zweiten ist, zugleich Grenzen füreinander bilden, wodurch bald sukzessive Anlage von Kapital auf derselben Bodenstrecke, bald Nebeneinanderanlage von Kapital auf neuem zusätzlichem Boden bedingt wird. Ebenso wirken sie als Grenzen füreinander in andern Fällen, wo z.B. besserer Boden an die Reihe kommt.
the two rents limit each other

The governing price could not, as in the case above, rise to £4 through extra capital on land B, if land A were to supply the extra product from a second capital investment for under £4, or if newer, worse land than A came into competition, land whose production price would be above £3 but under £4. So one sees how differential rent I and differential rent II, while the first is the basis of the second, at the same time set limits to each other, and this mutual limiting is what makes capital go at one time in successive investments onto the same stretch of land, at another time side by side onto new additional land. They limit each other in other cases too, for example where better land comes into use.

Kap. 43
The Special Case: The First Investment's Productivity Falls
The reader arrives from a falling-price chapter carrying the rule that rent follows the differences among soils. Here Engels takes up the third case in his own reconstruction: a rising governing production price. What gets settled is the premise and the exclusion — that this special case, strictly, is not differential rent II's object, being differential rent I's change acting back on II.
(A rising price of production presupposes a decline in productivity on the lowest quality of land, which pays no rent. The production price we have taken as the governing one can rise above £3 per qr only if the £2 1/2 invested on A produces less than 1 qr, or the £5 less than 2 qrs, or if a still poorer soil than A has to be brought into cultivation.
what a rising price presupposes

A rising price of production presupposes that productivity falls on the poorest land — the land that pays no rent. The production price we treat as the governing one can go above £3 per qr only in one of three cases: the £2 1/2 put into A yields less than 1 qr, or the £5 yields less than 2 qrs, or a soil even worse than A has to be brought into cultivation.

Given that the productivity of the second capital investment remains the same or even rises, this would only be possible if the productivity of the first capital investment of £2 1/2 had declined. This case is found often enough. For example, if the exhausted top-soil gives declining yields on superficial ploughing, as long as the old method of cultivation is maintained, until the subsoil subsequently supplies higher yields than before when rational techniques lead to its being turned up. Strictly speaking, however, this special case does not belong here. The falling productivity of the first capital investment of £2 1/2 leads to a fall in differential rent I for the better types of land, even if conditions there are taken as analogous; here, however, we are concerned only with differential rent II. But since the present special case cannot come about unless we assume that differential rent II is already in existence, for it in fact represents the impact on II of a modification in differential rent I, we shall give an example of it.
the excluded case, shown anyway

If the second capital investment's productivity stays the same or even rises, this would be possible only if the productivity of the first investment of £2 1/2 had fallen. That case comes up often enough. Shallow ploughing, say: the used-up topsoil gives smaller and smaller yields under the old way of farming, and then deeper ploughing throws up subsoil which, farmed properly, yields more than before. Strictly speaking, though, this special case does not belong here. When the first investment of £2 1/2 falls off in productivity, the better soils see differential rent I fall too — even if we assume things there run the same way. Here, though, we are looking only at differential rent II. But we give an example of it anyway, because this case cannot occur unless differential rent II is already assumed to exist, and because it really is a change in differential rent I working back on differential rent II.

Both rent and yield are the same in money terms as in Table II. The increased governing price of production exactly makes up for the deficit in the quantity produced; since the two things vary in inverse proportion, it is evident that their product remains the same.
money rent and yield unchanged

The money rent and the money yield are the same as in Table II. The governing production price has risen, and it exactly replaces what the output lost in quantity; and since the two vary in inverse proportion, it is obvious that price multiplied by quantity stays the same.

Table VII
Type of land Acres Invested capital (£) Profit (£) Price of prod. (£) Output (qrs) Selling price (£) Proceeds (£) Corn rent (qrs) Money rent (£) Rate of rent
A 1 2 1/2 + 2 1/2 1 6 1/2 + 1 1/4 = 1 3/4 3 3/7 6 0 0 0
B 1 2 1/2 + 2 1/2 1 6 1 + 2 1/2 = 3 1/2 3 3/7 12 1 3/4 6 120%
C 1 2 1/2 + 2 1/2 1 6 1 1/2 + 3 3/4 = 5 1/4 3 3/7 18 3 1/2 12 240%
D 1 2 1/2 + 2 1/2 1 6 2 + 5 = 7 3 3/7 24 5 1/4 18 360%
20 17 1/2 60 10 1/2 36 240%
Table VII
Type of land Acres Invested capital (£) Profit (£) Price of prod. (£) Output (qrs) Selling price (£) Proceeds (£) Corn rent (qrs) Money rent (£) Rate of rent
A 1 2 1/2 + 2 1/2 1 6 1/2 + 1 1/4 = 1 3/4 3 3/7 6 0 0 0
B 1 2 1/2 + 2 1/2 1 6 1 + 2 1/2 = 3 1/2 3 3/7 12 1 3/4 6 120%
C 1 2 1/2 + 2 1/2 1 6 1 1/2 + 3 3/4 = 5 1/4 3 3/7 18 3 1/2 12 240%
D 1 2 1/2 + 2 1/2 1 6 2 + 5 = 7 3 3/7 24 5 1/4 18 360%
20 17 1/2 60 10 1/2 36 240%
In the following case we assume the productivity of the second capital investment is higher than the original productivity of the first investment. It is the same if we take the productivity of the second investment as simply the same as the original, as in the following Table VIII:
Same result, weaker first investment

In the case above, the assumption was that the second capital investment was more productive than the first investment originally was. The result comes out the same if we give the second investment only the productivity that the first had at the start, as in the table below.

Table VIII
Type of land Acres Invested capital (£) Profit (£) Price of prod. (£) Output (qrs) Selling price (£) Proceeds (£) Rent Rate of surplus profit
in corn (qrs) in money (£)
A 1 2 1/2 + 2 1/2 = 5 1 6 1/2 + 1 = 1 1/2 4 6 0 0 0
B 1 2 1/2 + 2 1/2 = 5 1 6 1 + 2 = 3 4 12 1 1/2 6 120%
C 1 2 1/2 + 2 1/2 = 5 1 6 1 1/2 + 3 = 4 1/2 4 18 3 12 240%
D 1 2 1/2 + 2 1/2 = 5 1 6 2 + 4 = 6 4 24 4 1/2 18 360%
20 15 60 9 36 240%
Table VIII
Type of land Acres Invested capital (£) Profit (£) Price of prod. (£) Output (qrs) Selling price (£) Proceeds (£) Rent Rate of surplus profit
in corn (qrs) in money (£)
A 1 2 1/2 + 2 1/2 = 5 1 6 1/2 + 1 = 1 1/2 4 6 0 0 0
B 1 2 1/2 + 2 1/2 = 5 1 6 1 + 2 = 3 4 12 1 1/2 6 120%
C 1 2 1/2 + 2 1/2 = 5 1 6 1 1/2 + 3 = 4 1/2 4 18 3 12 240%
D 1 2 1/2 + 2 1/2 = 5 1 6 2 + 4 = 6 4 24 4 1/2 18 360%
20 15 60 9 36 240%
Here, too, a production price that has risen in the same proportion fully makes up for the decline in productivity, both for product and money rent.
the compensation, restated

Here too, the production price rises in the same proportion, and this fully makes up for the fall in productivity — for the money yield and for the money rent alike.

Kap. 43
Pure Third Case: The Second Investment's Productivity Falls
Behind us stands the special case Engels set aside: the first investment's productivity falls, so differential rent I acts back on II, and two tables show the risen price compensating in money. The third case did not open here; it opened with that case. What appears here is the pure form: the first investment holds constant while only the second investment's productivity falls, so differential rent I is untouched and only the differential rent II share changes. Two constructed examples halve that productivity, then quarter it; product and selling price move inversely, so money rent, total yield and the rate of rent hold while the corn rent falls. This is Engels's reconstruction; Marx's draft gave the case only its title.
The third case emerges in its pure form only in a situation of falling productivity on the second capital investment, while that on the first investment remains constant, as was assumed throughout in the first and second cases. Here differential rent I is not affected, and the change takes place solely in the proportion arising from differential rent II. We give two examples: in the first the productivity of the second capital investment is reduced to a half and in the second to a quarter.
the pure case, stated

The third case comes out in its pure form only when the second capital investment's productivity falls, while the first investment keeps producing exactly as before — the same assumption that was in force everywhere in the first and second cases. In that setup differential rent I is not touched at all. The change happens only in the share that comes from differential rent II. We give two examples: suppose the second investment's productivity cut to a half in the first, and to a quarter in the second.

Table IX
Type of land Acres Invested capital (£) Profit (£) Price of prod. (£) Output (qrs) Selling price (£) Proceeds (£) Rent Rate of rent
in corn (qrs) in money (£)
A 1 2 1/2 + 2 1/2 = 5 1 6 1 + 1/2 = 1 1/2 4 6 0 0 0
B 1 2 1/2 + 2 1/2 = 5 1 6 2 + 1 = 3 4 12 1 1/2 6 120%
C 1 2 1/2 + 2 1/2 = 5 1 6 3 + 1 1/2 = 4 1/2 4 18 3 12 240%
D 1 2 1/2 + 2 1/2 = 5 1 6 4 + 2 = 6 4 24 4 1/2 18 360%
20 15 60 9 36 240%
Table IX
Type of land Acres Invested capital (£) Profit (£) Price of prod. (£) Output (qrs) Selling price (£) Proceeds (£) Rent Rate of rent
in corn (qrs) in money (£)
A 1 2 1/2 + 2 1/2 = 5 1 6 1 + 1/2 = 1 1/2 4 6 0 0 0
B 1 2 1/2 + 2 1/2 = 5 1 6 2 + 1 = 3 4 12 1 1/2 6 120%
C 1 2 1/2 + 2 1/2 = 5 1 6 3 + 1 1/2 = 4 1/2 4 18 3 12 240%
D 1 2 1/2 + 2 1/2 = 5 1 6 4 + 2 = 6 4 24 4 1/2 18 360%
20 15 60 9 36 240%
Table IX is the same as Table VIII, except that the decline in productivity in VIII falls on the first capital investment, while that in IX falls on the second.
IX: same, but the decline moves

Table IX is the same as Table VIII, with one difference: in VIII the fall in productivity lands on the first capital investment, and in IX it lands on the second.

Table X
Type of land Acres Invested capital (£) Profit (£) Price of prod. (£) Output (qrs) Selling price (£) Proceeds (£) Rent Rate of rent
in corn (qrs) in money (£)
A 1 2 1/2 + 2 1/2 = 5 1 6 1 + 1/4 = 1 1/4 4 4/5 6 0 0 0
B 1 2 1/2 + 2 1/2 = 5 1 6 2 + 1/2 = 2 1/2 4 4/5 12 1 1/4 6 120%
C 1 2 1/2 + 2 1/2 = 5 1 6 3 + 3/4 = 3 3/4 4 4/5 18 2 1/2 12 240%
D 1 2 1/2 + 2 1/2 = 5 1 6 4 + 1 = 5 4 4/5 24 3 3/4 18 360%
20 24 12 1/2 60 7 1/2 36 240%
Table X
Type of land Acres Invested capital (£) Profit (£) Price of prod. (£) Output (qrs) Selling price (£) Proceeds (£) Rent Rate of rent
in corn (qrs) in money (£)
A 1 2 1/2 + 2 1/2 = 5 1 6 1 + 1/4 = 1 1/4 4 4/5 6 0 0 0
B 1 2 1/2 + 2 1/2 = 5 1 6 2 + 1/2 = 2 1/2 4 4/5 12 1 1/4 6 120%
C 1 2 1/2 + 2 1/2 = 5 1 6 3 + 3/4 = 3 3/4 4 4/5 18 2 1/2 12 240%
D 1 2 1/2 + 2 1/2 = 5 1 6 4 + 1 = 5 4 4/5 24 3 3/4 18 360%
20 24 12 1/2 60 7 1/2 36 240%
In this table, too, the total yield, money rental and rate of rent remain the same as in Tables II, VII and VIII, because the product and the sale price again vary in inverse proportion, while the capital investment remains the same.
totals hold: price and product offset

In this table too, the total yield, the money rental and the rate of rent stay the same as in Tables II, VII and VIII. The reason: once again the product and the sale price varied in inverse proportion, while the capital investment stayed the same.

Kap. 43
Inferior Land a Enters Competition
Behind us stands the case where rising price came with unchanged money rent because price and product moved inversely. What remains is the other route to a rising price: a worse soil entering competition. The reader arrives carrying the difference between a price rise that compensates lost yield and one that reflects a new worst soil setting the price. What the argument settles is how the entry of a changes the baseline itself: formerly rentless A bears rent, a new differential rent I forms, and differential rent II is worked out on that altered basis. Engels's reconstruction carries the argument.
What is the position, though, in the other possible situation, with a rising price of production, in particular if inferior land which it previously did not pay to cultivate is now taken into cultivation?
the other rising-price case

But how do things stand in the other case in which a rising price of production is possible — namely, if an inferior soil that had not been worth cultivating now comes into cultivation?

Let us assume that this land, which we can call a, enters into competition with the others. The formerly non-rent-bearing land A would then yield a rent, and the above Tables VII, VIII and X would take on the following form as Tables VIIa, VIIIa and Xa.
assumption: soil a enters

Suppose a soil like that — we will call it a — comes into competition. Then soil A, which has borne no rent up to now, would yield a rent, and Tables VII, VIII and X above would take on the following shape:

Table VIIa
Type of land Acres Capital (£) Profit (£) Price of production (£) Output (qrs) Selling price (£) Proceeds (£) Rent Increase
qrs £
a 1 5 1 6 1 1/2 4 6 0 0 0
A 1 2 1/2 + 2 1/2 1 6 1/2 + 1 1/4 = 1 3/4 4 7 1/4 1 1
B 1 2 1/2 + 2 1/2 1 6 1 + 2 1/2 = 3 1/2 4 14 2 8 1 + 7
C 1 2 1/2 + 2 1/2 1 6 1 1/2 + 3 3/4 = 5 1/4 4 21 3 3/4 15 1 + 2 x 7
D 1 2 1/2 + 2 1/2 1 6 2 + 5 = 7 4 28 5 1/2 22 1 + 3 x 7
30 19 76 11 1/2 46
Table VIIa
Type of land Acres Capital (£) Profit (£) Price of production (£) Output (qrs) Selling price (£) Proceeds (£) Rent Increase
qrs £
a 1 5 1 6 1 1/2 4 6 0 0 0
A 1 2 1/2 + 2 1/2 1 6 1/2 + 1 1/4 = 1 3/4 4 7 1/4 1 1
B 1 2 1/2 + 2 1/2 1 6 1 + 2 1/2 = 3 1/2 4 14 2 8 1 + 7
C 1 2 1/2 + 2 1/2 1 6 1 1/2 + 3 3/4 = 5 1/4 4 21 3 3/4 15 1 + 2 x 7
D 1 2 1/2 + 2 1/2 1 6 2 + 5 = 7 4 28 5 1/2 22 1 + 3 x 7
30 19 76 11 1/2 46
Table VIIIa
Type of land Acres Capital (£) Profit (£) Price of production (£) Output (qrs) Selling price (£) Proceeds (£) Rent Increase
qrs £
a 1 5 1 6 1 1/4 4 4/5 6 0 0 0
A 1 2 1/2 + 2 1/2 1 6 1/2 + 1 = 1 1/2 4 4/5 7 1/5 1/4 1 1/5 1 1/5
B 1 2 1/2 + 2 1/2 1 6 1 + 2 = 3 4 4/5 14 2/5 1 3/4 8 2/5 1 1/5 + 7 1/5
C 1 2 1/2 + 2 1/2 1 6 1 1/2 + 3 = 4 1/2 4 4/5 21 3/5 3 1/4 15 3/5 1 1/5 + 2 x 7 1/5
D 1 2 1/2 + 2 1/2 1 6 2 + 4 = 6 4 4/5 28 4/5 4 3/4 22 4/5 1 1/5 + 3 x 7 1/5
5 30 16 1/4 78 10 48
Table VIIIa
Type of land Acres Capital (£) Profit (£) Price of production (£) Output (qrs) Selling price (£) Proceeds (£) Rent Increase
qrs £
a 1 5 1 6 1 1/4 4 4/5 6 0 0 0
A 1 2 1/2 + 2 1/2 1 6 1/2 + 1 = 1 1/2 4 4/5 7 1/5 1/4 1 1/5 1 1/5
B 1 2 1/2 + 2 1/2 1 6 1 + 2 = 3 4 4/5 14 2/5 1 3/4 8 2/5 1 1/5 + 7 1/5
C 1 2 1/2 + 2 1/2 1 6 1 1/2 + 3 = 4 1/2 4 4/5 21 3/5 3 1/4 15 3/5 1 1/5 + 2 x 7 1/5
D 1 2 1/2 + 2 1/2 1 6 2 + 4 = 6 4 4/5 28 4/5 4 3/4 22 4/5 1 1/5 + 3 x 7 1/5
5 30 16 1/4 78 10 48
Table Xa
Type of land Acres Capital (£) Profit (£) Price of production (£) Output (qrs) Selling price (£) Proceeds (£) Rent Increase
qrs £
a 1 5 1 6 1 1/8 5 1/3 6 0 0 0
A 1 2 1/2 + 2 1/2 1 6 1 + 1/4 = 1 1/4 5 1/3 6 2/3 1/8 2/3 2/3
B 1 2 1/2 + 2 1/2 1 6 2 + 1/2 = 2 1/2 5 1/3 13 1/3 1 3/8 7 1/3 2/3 + 6 2/3
C 1 2 1/2 + 2 1/2 1 6 3 + 3/4 = 3 3/4 5 1/3 20 2 5/8 14 2/3 + 2 x 6 2/3
D 1 2 1/2 + 2 1/2 1 6 4 + 1 = 5 5 1/3 26 2/3 3 7/8 20 2/3 2/3 + 3 x 6 2/3
30 13 5/8 72 2/3 8 42 2/3
Table Xa
Type of land Acres Capital (£) Profit (£) Price of production (£) Output (qrs) Selling price (£) Proceeds (£) Rent Increase
qrs £
a 1 5 1 6 1 1/8 5 1/3 6 0 0 0
A 1 2 1/2 + 2 1/2 1 6 1 + 1/4 = 1 1/4 5 1/3 6 2/3 1/8 2/3 2/3
B 1 2 1/2 + 2 1/2 1 6 2 + 1/2 = 2 1/2 5 1/3 13 1/3 1 3/8 7 1/3 2/3 + 6 2/3
C 1 2 1/2 + 2 1/2 1 6 3 + 3/4 = 3 3/4 5 1/3 20 2 5/8 14 2/3 + 2 x 6 2/3
D 1 2 1/2 + 2 1/2 1 6 4 + 1 = 5 5 1/3 26 2/3 3 7/8 20 2/3 2/3 + 3 x 6 2/3
30 13 5/8 72 2/3 8 42 2/3
The intervention of land a gives rise to a new differential rent I; on this new basis, differential rent II also develops in a different form. In each of the three above tables, land a has a different fertility; the series of proportionally rising fertilities only begins with A. Accordingly too, therefore, the series of rising rents. The rent of the poorest rent-bearing land, which formerly did not bear rent at all, forms a constant that is simply added on to all higher rents; it is only after this constant is deducted that the series of differences for the higher rents clearly emerges, and so too their parallelism with the series of land types arranged according to fertility. In all these tables, the fertilities from A to D are in the ratios 1: 2: 3: 4, and the rents are accordingly:
new rent I, and the constant

Bringing soil a into the picture creates a new differential rent I, and on this new basis differential rent II then develops too, in a changed form.

Soil a is fertile to a different degree in each of the three tables above. The run of fertilities that rise in proportion starts only at A, and the run of rising rents behaves accordingly.

The rent of the worst soil that carries rent, which carried none before, forms a constant. That constant is simply added on to every higher rent. Only once it is taken off do the differences among the higher rents come out clearly, and with them the way those differences run parallel to the fertility series of the soil types.

In all the tables the fertilities from A to D stand as 1 : 2 : 3 : 4, and the rents correspond, as follows:

- in VIIa, as 1: 1 + 7: 1 + 2 x 7: 1 + 3 x 7;
- in VIIIa, as 1 1/5: 1 1/5 + 7 1/5: 1 1/5 + 2 x 7 1/5: 1 1/5 + 3 x 7 1/5;
- in Xa, as 2/3: 2/3 + 6 2/3: 2/3 + 2 x 6 2/3: 2/3 + 3 x 6 2/3.
rent series for VIIa, VIIIa, Xa

In VIIa: 1 : 1 + 7 : 1 + 2 x 7 : 1 + 3 x 7; in VIIIa: 1 1/5 : 1 1/5 + 7 1/5 : 1 1/5 + 2 x 7 1/5 : 1 1/5 + 3 x 7 1/5; in Xa: 2/3 : 2/3 + 6 2/3 : 2/3 + 2 x 6 2/3 : 2/3 + 3 x 6 2/3.

In short, if the rent of A = n, and the rent of the land of next higher fertility = n + m, the series is n: n + m: n + 2m: n + 3m etc. — F. E.)
general form of the series

In short: if the rent of A is n, and the rent of the soil of the next higher fertility is n + m, then the series runs n : n + m : n + 2m : n + 3m, and so on. — F. E.

Kap. 43
Rents Follow Differences in Fertility, Not Its Level
Behind us lies a rising production price worked with A still governing, where money rent and the rate of rent held while corn rent fell, and then a worse soil entering so that A paid rent and a new differential rent I formed. Engels is reconstructing here: the earlier text leaves only the title of the third case, and he will settle what the completed run of differential rent II yields for the general conclusions.
*
*
(Since the above third case was not elaborated in the manuscript — there is only the title — it remained the task of the editor to complete this as best he could. Besides this, he also has to draw the resulting general conclusions from the overall investigation of differential rent II in its three major and nine subordinate cases. For this purpose, however, the examples given in the manuscript are of little help. Firstly, they compare lands whose yields, for equal areas, are in the ratios 1: 2: 3: 4, i.e. differences that are sharply exaggerated right from the start and which lead to completely impossible figures when calculations are made on this basis. Secondly, they give a completely false impression. If fertilities in the ratios 1: 2: 3: 4 etc. lead to a series of rents in the ratios 0: 1: 2: 3 etc., we feel able to derive the second series immediately from the first and explain the doubling, trebling, etc. of rents from the doubling, trebling, etc. of the total yields. But this would be completely mistaken. Rents stand in the ratios 0: 1: 2: 3: 4 whenever the scale of fertility is one of n: n + 1: n + 2: n + 3: n + 4; it is not the absolute level of fertility but rather the differences in fertility, reckoned from the non-rent-bearing land as the zero point, that give the ratio of rents.
Why the manuscript's examples mislead

The third case above was never worked out in the manuscript — only its title stands there — so it stayed the editor's job to fill it in as best he could, as the pages above have done. But something else is left to him too: to draw the general conclusions that follow from the whole investigation of differential rent II, across its three main cases and its nine sub-cases. For that purpose, though, the examples the manuscript gives fit only poorly. First, they compare pieces of land whose yields over equal areas stand in the ratio 1 : 2 : 3 : 4. Those differences exaggerate heavily from the outset, and as assumptions and calculations are built on that basis they lead to thoroughly forced numerical ratios. Second, they create a completely false appearance: when fertility grades in the ratio 1 : 2 : 3 : 4 etc. give rents in the series 0 : 1 : 2 : 3 etc., one immediately feels tempted to derive the second series from the first, and to explain the doubling, trebling and so on of the rents by the doubling, trebling and so on of the total yields. But that would be completely wrong. Rents behave as 0 : 1 : 2 : 3 : 4 even when the fertility grades behave as n : n + 1 : n + 2 : n + 3 : n + 4. Rents do not behave as the fertility grades do; they behave as the fertility differences do, counted from the rentless soil as the zero point.

Marx’s original tables had to be given for the sake of understanding the text itself. But in order to give an intuitive basis to the results of the investigation that follow below, I shall now provide a new series of tables in which the yields are given in bushels (1/8 qr, or 36.35 litres) and shillings (= marks).
Old tables kept, new series added

The tables of the original had to be given, to explain the text. But so that the results of the investigation that follow below have a basis you can picture, I give in what follows a new series of tables, in which yields are given in bushels (1/8 quarter, or 36.35 litres) and shillings (= marks).

The first table (XI) corresponds to the former Table I. It shows the yields and rents for five qualities of land A-E for a first capital investment of 50s., which with 10s. profit makes a total of 60s. in production costs. The yields of corn are given low values: 10, 12, 14, 16, 18 bushels per acre. The governing production price resulting from this is 6s. per bushel.
Table XI: the starting figures

Table XI is the counterpart of the old Table I. For five grades of soil, A to E, it sets out the output and the rents, taking a first outlay of capital of 50s. per acre; add 10s. profit, and the total production costs come to 60s. per acre. The corn yields are set low: 10, 12, 14, 16, 18 bushels per acre. The governing production price that follows from this is 6s. per bushel.

The subsequent thirteen tables correspond to the three cases of differential rent II dealt with in this chapter and the two previous ones, for an additional capital investment on the same land of 50s. per acre, and a price of production that may be constant, falling or rising. Each of these cases is again presented in the shape it assumes (1) with the same productivity for the second capital investment as for the first, (2) with falling productivity and (3) with rising productivity. A few variants arise in this connection which are particularly useful by way of illustration.
Thirteen tables: three cases, three variants

The thirteen tables that come next cover the three cases of differential rent II that this chapter and the two before it have been dealing with. Each puts another 50s. of capital per acre onto the same land, and each runs under a production price that holds steady, falls, or rises. Inside every one of these cases the table is worked out again for the three ways the second investment of capital can go compared with the first: (1) its productivity stays the same, (2) it falls, (3) it rises. Some variants come out of this that still need illustrating on their own.

Kap. 43
The Three Cases and Their Variants
Behind us, Engels has built a new series in bushels and shillings on Table XI as its base, and drawn the rule that rents follow differences, not absolute yields. What arrives now is the map of that whole new series, not only the rising-price case: constant, falling and rising price are all ordered before any table is worked, and the rising price is only the last part. What the survey settles is the plan and its conditions of admission: which pairings of price movement and second-investment productivity can arise, and where land A stands in each.
In case I, price of production constant, we have:
case I: constant price

Case I: price of production constant, we have:

Variant 1. Productivity remains the same for the second capital investment (Table XII).
variant 1, Table XII

Variant 1: Productivity of the second capital investment stays the same (Table XII).

Variant 2. Productivity falls. This can happen only if no second investment is made on land A. And, moreover, either:
(a) in such a way that land B likewise yields no rent (Table XIII);
or
(b) in such a way that land B is not completely devoid of rent (Table XIV).
Variant 2: falling productivity, two sub-cases

Variant 2: falling productivity. This can happen only if land A receives no second investment. And it does so in one of two ways: (a) land B, too, brings in no rent (Table XIII); or (b) land B does not end up wholly rentless (Table XIV).

Variant 3. Productivity rises (Table XV). This case, too, excludes a second capital investment on land A.
variant 3, Table XV

Variant 3: Rising productivity (Table XV). This case, too, rules out a second capital investment on land A.

In case II, where the production price falls, we have:
case II: falling price

Case II: production price falling, we have:

Variant 1. Productivity remains the same for the second investment (Table XVI).
variant 1, Table XVI

Variant 1: Productivity of the second investment stays the same (Table XVI).

Variant 2. Productivity falls (Table XVII). These two variants both mean that land A is removed from competition, land B ceasing to bear rent and coming to govern the production price.
variants 1 and 2 together

Variant 2: Falling productivity (Table XVII). Both of these variants mean that land A drops out of competition, land B becomes rentless, and land B governs the production price.

Variant 3. Productivity rises (Table XVIII). Here land A remains the governing one.
variant 3, Table XVIII

Variant 3: Rising productivity (Table XVIII). Here land A stays the one that governs.

In case III, where the price of production rises, two modalities are possible. Land A may remain non-rent-bearing and price-governing, or else land inferior to A in quality may come into competition and govern price, which means that A then does yield rent.
case III: two modalities

Case III: production price rising, two modalities are possible. Land A can stay rentless and keep governing the price, or else a quality of land inferior to A comes into competition and governs the price — and land A then yields rent.

First modality. Land A continues to govern price.
first modality: A governs

First modality: land A stays governing.

Variant 1. Productivity remains the same for the second investment (Table XIX). This is permissible, under our conditions, only if the productivity of the first investment declines.
variant 1, Table XIX

Variant 1: Productivity of the second investment stays the same (Table XIX). Under the assumptions, this is admissible only if the productivity of the first investment declines.

Variant 2. The productivity of the second investment falls (Table XX). This does not rule out the possibility that the productivity of the first investment may remain the same.
variant 2, Table XX

Variant 2: Falling productivity of the second investment (Table XX); this does not rule out the productivity of the first investment staying the same.

Variant 3. The productivity of the second investment rises (Table XXI). This again reduces the productivity of the first investment.
variant 3, Table XXI

Variant 3: Rising productivity of the second investment (Table XXI); this in turn presupposes a falling productivity of the first investment.

Second modality. An inferior quality of land (denoted by a) comes into competition; land A bears rent.
second modality: soil a enters

Second modality: an inferior quality of land (denoted by a) comes into competition; land A yields rent.

Variant 1. Productivity on the second investment remains the same (Table XXII).
variant 1, Table XXII

Variant 1: Productivity of the second investment stays the same (Table XXII).

Variant 2. Productivity falls (Table XXIII).
variant 2, Table XXIII

Variant 2: Falling productivity (Table XXIII).

Variant 3. Productivity rises (Table XXIV).
variant 3, Table XXIV

Variant 3: Rising productivity (Table XXIV).

These three variants conform to the general conditions of the problem, and require no special remarks.
no special remarks needed

These three variants go forward under the general conditions of the problem and give no occasion for any special remarks.

Kap. 43
Table XI, First Case: Constant Price of Production
Behind us stands the decision to test the first case on a fresh series, in bushels and shillings, because the older examples invite the false reading that rent follows fertility directly. Engels begins that series from its baseline: A rentless and governing, B to E yielding rents in fixed steps at 6 shillings. Engels then applies a second capital investment to the same land under that unchanged price, and settles what happens to those rents when its productivity is constant, when it falls, and when it rises. The price never moves; the second investment's productivity changes, and in Variants 2 and 3 A receives no second investment.
We now append the tables.
Tables now follow

The tables now follow.

Table XI
Type of land Price of production (s.) Output (bushels) Selling price (s.) Proceeds (s.) Rent (s.) Rent increase
A 60 10 6 60 0 0
B 60 12 6 72 12 12
C 60 14 6 84 24 2 x 12
D 60 16 6 96 36 3 x 12
E 60 18 6 108 48 4 x 12
120 10 x 12
Table XI
Type of land Price of production (s.) Output (bushels) Selling price (s.) Proceeds (s.) Rent (s.) Rent increase
A 60 10 6 60 0 0
B 60 12 6 72 12 12
C 60 14 6 84 24 2 x 12
D 60 16 6 96 36 3 x 12
E 60 18 6 108 48 4 x 12
120 10 x 12
For the second capital investment on the same land:
Second investment, same land

For the second capital investment on the same land.

First case. The price of production remains constant. Variant 1. The productivity of the second capital investment remains the same.
First case: constant price of production

First case: with the price of production remaining constant.

English joined this paragraph
Variant 1: productivity held constant

Variant 1: with the productivity of the second capital investment remaining constant.

Table XII
Type of land Price of production (s.) Output (bushels) Selling price (s.) Proceeds (s.) Rent (s.) Rent increase
A 60 + 60 = 120 10 + 10 = 20 6 120 0 0
B 60 + 60 = 120 12 + 12 = 24 6 144 24 24
C 60 + 60 = 120 14 + 14 = 28 6 168 48 2 x 24
D 60 + 60 = 120 16 + 16 = 32 6 192 72 3 x 24
E 60 + 60 = 120 18 + 18 = 36 6 216 96 4 x 24
240 10 x 24
Table XII
Type of land Price of production (s.) Output (bushels) Selling price (s.) Proceeds (s.) Rent (s.) Rent increase
A 60 + 60 = 120 10 + 10 = 20 6 120 0 0
B 60 + 60 = 120 12 + 12 = 24 6 144 24 24
C 60 + 60 = 120 14 + 14 = 28 6 168 48 2 x 24
D 60 + 60 = 120 16 + 16 = 32 6 192 72 3 x 24
E 60 + 60 = 120 18 + 18 = 36 6 216 96 4 x 24
240 10 x 24
Variant 2. The productivity of the second capital investment falls; there is no second investment on A. (a) Land B ceases to bear rent.
Variant 2: falling productivity

Variant 2: with the productivity of the second capital investment falling, and no second investment on land A.

English joined this paragraph
Subcase a: B stops bearing rent

(a) When land B stops bearing rent.

Table XIII
Type of land Price of production (s.) Output (bushels) Selling price (s.) Proceeds (s.) Rent (s.) Rent increase
A 60 10 6 60 0 0
B 60 + 60 = 120 12 + 8 = 20 6 120 0 0
C 60 + 60 = 120 14 + 9 1/3 = 23 1/3 6 140 20 20
D 60 + 60 = 120 16 + 10 2/3 = 26 2/3 6 160 40 2 x 20
E 60 + 60 = 120 18 + 12 = 30 6 180 60 3 x 20
120 6 x 20
Table XIII
Type of land Price of production (s.) Output (bushels) Selling price (s.) Proceeds (s.) Rent (s.) Rent increase
A 60 10 6 60 0 0
B 60 + 60 = 120 12 + 8 = 20 6 120 0 0
C 60 + 60 = 120 14 + 9 1/3 = 23 1/3 6 140 20 20
D 60 + 60 = 120 16 + 10 2/3 = 26 2/3 6 160 40 2 x 20
E 60 + 60 = 120 18 + 12 = 30 6 180 60 3 x 20
120 6 x 20
(b) Land B does not completely cease to bear rent.
Subcase b: B not wholly rentless

(b) When land B does not entirely stop bearing rent.

Table XIV
Type of land Price of production (s.) Output (bushels) Selling price (s.) Proceeds (s.) Rent (s.) Rent increase
A 60 10 6 60 0 0
B 60 + 60 = 120 12 + 9 = 21 6 126 6 6
C 60 + 60 = 120 14 + 10 1/2 = 24 1/2 6 147 27 6 + 21
D 60 + 60 = 120 16 + 12 = 28 6 168 48 6 + 2 x 21
E 60 + 60 = 120 18 + 13 1/2 = 31 1/2 6 189 69 6 + 3 x 21
150 4 x 6 + 6 x 21
Table XIV
Type of land Price of production (s.) Output (bushels) Selling price (s.) Proceeds (s.) Rent (s.) Rent increase
A 60 10 6 60 0 0
B 60 + 60 = 120 12 + 9 = 21 6 126 6 6
C 60 + 60 = 120 14 + 10 1/2 = 24 1/2 6 147 27 6 + 21
D 60 + 60 = 120 16 + 12 = 28 6 168 48 6 + 2 x 21
E 60 + 60 = 120 18 + 13 1/2 = 31 1/2 6 189 69 6 + 3 x 21
150 4 x 6 + 6 x 21
Variant 3. The productivity of the second capital investment rises; here too, no second investment on land A.
Variant 3: rising productivity

Variant 3: with the productivity of the second capital investment rising, and here too no second investment on land A.

Table XV
Type of land Price of production (s.) Output (bushels) Selling price (s.) Proceeds (s.) Rent (s.) Rent increase
A 60 10 6 60 0 0
B 60 + 60 = 120 12 + 15 = 27 6 162 42 42
C 60 + 60 = 120 14 + 17 1/2 = 31 1/2 6 189 69 42 + 27
D 60 + 60 = 120 16 + 20 = 36 6 216 96 42 + 2 x 27
E 60 + 60 = 120 18 + 22 1/2 = 40 1/2 6 243 123 42 + 3 x 27
330 4 x 42 + 6 x 27
Table XV
Type of land Price of production (s.) Output (bushels) Selling price (s.) Proceeds (s.) Rent (s.) Rent increase
A 60 10 6 60 0 0
B 60 + 60 = 120 12 + 15 = 27 6 162 42 42
C 60 + 60 = 120 14 + 17 1/2 = 31 1/2 6 189 69 42 + 27
D 60 + 60 = 120 16 + 20 = 36 6 216 96 42 + 2 x 27
E 60 + 60 = 120 18 + 22 1/2 = 40 1/2 6 243 123 42 + 3 x 27
330 4 x 42 + 6 x 27
Kap. 43
Second Case: Falling Price of Production
The reader arrives from the constant-price case, where the separation of differential rent I's back-effect from differential rent II was still in place. What is new here is the second case: a falling price of production, still inside Engels's reconstruction, and still built as constructed tables. Engels settles that the falling price admits three variants according to the second capital investment's productivity, that the rentless base shifts—from B in the first two variants back to A in the third—and that the tables' rents are differential, measured from that base rather than from fertility or output as such. The three cases are stated, and their figures are constructed.
Second case. Price of production falls.
second case: falling price of production

Second case: the price of production falls.

Variant 1. Productivity of the second capital investment remains the same. Land A is withdrawn from competition, land B ceases to bear rent.
variant 1: second investment yields the same

Variant 1: the productivity of the second capital investment stays the same. Land A drops out of competition, and land B ceases to bear rent.

Table XVI
Type of land Price of production (s.) Output (bushels) Selling price (s.) Proceeds (s.) Rent (s.) Rent increase
B 60 + 60 = 120 12 + 12 = 24 5 120 0 0
C 60 + 60 = 120 14 + 14 = 28 5 140 20 20
D 60 + 60 = 120 16 + 16 = 32 5 160 40 2 x 20
E 60 + 60 = 120 18 + 18 = 36 5 180 60 3 x 20
120 6 x 20
Table XVI
Type of land Price of production (s.) Output (bushels) Selling price (s.) Proceeds (s.) Rent (s.) Rent increase
B 60 + 60 = 120 12 + 12 = 24 5 120 0 0
C 60 + 60 = 120 14 + 14 = 28 5 140 20 20
D 60 + 60 = 120 16 + 16 = 32 5 160 40 2 x 20
E 60 + 60 = 120 18 + 18 = 36 5 180 60 3 x 20
120 6 x 20
Variant 2. Productivity of the second capital investment falls; Land A is withdrawn from competition, land B ceases to bear rent.
variant 2: second investment yields less

Variant 2: the productivity of the second capital investment falls; land A drops out of competition, and land B ceases to bear rent.

Table XVII
Type of land Price of production (s.) Output (bushels) Selling price (s.) Proceeds (s.) Rent (s.) Rent increase
B 60 + 60 = 120 12 + 9 = 21 5 5/7 120 0 0
C 60 + 60 = 120 14 + 10 1/2 = 24 1/2 5 5/7 140 20 20
D 60 + 60 = 120 16 + 12 = 28 5 5/7 160 40 2 x 20
E 60 + 60 = 120 18 + 13 1/2 = 31 1/2 5 5/7 180 60 3 x 20
120 6 x 20
Table XVII
Type of land Price of production (s.) Output (bushels) Selling price (s.) Proceeds (s.) Rent (s.) Rent increase
B 60 + 60 = 120 12 + 9 = 21 5 5/7 120 0 0
C 60 + 60 = 120 14 + 10 1/2 = 24 1/2 5 5/7 140 20 20
D 60 + 60 = 120 16 + 12 = 28 5 5/7 160 40 2 x 20
E 60 + 60 = 120 18 + 13 1/2 = 31 1/2 5 5/7 180 60 3 x 20
120 6 x 20
Variant 3. Productivity of the second capital investment rises. Land A remains in competition, land B bears rent.
variant 3: second investment yields more

Variant 3: the productivity of the second capital investment rises; land A stays in competition. Land B bears rent.

Table XVIII
Type of land Price of production (s.) Output (bushels) Selling price (s.) Proceeds (s.) Rent (s.) Rent increase
A 60 + 60 = 120 10 + 15 = 25 4 4/5 120 0 0
B 60 + 60 = 120 12 + 18 = 30 4 4/5 144 24 24
C 60 + 60 = 120 14 + 21 = 35 4 4/5 168 48 2 x 24
D 60 + 60 = 120 16 + 24 = 40 4 4/5 192 72 3 x 24
E 60 + 60 = 120 18 + 27 = 45 4 4/5 216 96 4 x 24
240 10 x 24
Table XVIII
Type of land Price of production (s.) Output (bushels) Selling price (s.) Proceeds (s.) Rent (s.) Rent increase
A 60 + 60 = 120 10 + 15 = 25 4 4/5 120 0 0
B 60 + 60 = 120 12 + 18 = 30 4 4/5 144 24 24
C 60 + 60 = 120 14 + 21 = 35 4 4/5 168 48 2 x 24
D 60 + 60 = 120 16 + 24 = 40 4 4/5 192 72 3 x 24
E 60 + 60 = 120 18 + 27 = 45 4 4/5 216 96 4 x 24
240 10 x 24
Kap. 43
Third Case: Land A Still Governs
Behind us stand the first two cases in the bushel-and-shilling tables, with their variant sortings, most recently the falling-price case. Here the rising price of production opens in that sequence for the first time; the chapter's earlier tables treated it at the start. Engels fixes the first modality, where land A remains rentless and governs, and he separates the variants by which successive investment's productivity carries the change. A's zero rent and the rent scale stay fixed across them, so the higher price is not itself a higher rent. Engels's reconstruction carries the argument forward.
Third case. The price of production rises. [First modality.] If land A still bears no rent and governs price. Variant 1. The productivity on the second capital investment remains the same; which means a declining productivity for the first investment.
third case: rising price of production

Third case. The price of production rises.

English joined this paragraph
first modality: A stays rentless

A. First modality: if land A remains rentless and governs the price.

English joined this paragraph
Variant 1: second investment's productivity constant

Variant 1. The productivity of the second capital investment is unchanged — and that requires the productivity of the first investment to fall.

Table XIX
Type of land Price of production (s.) Output (bushels) Selling price (s.) Proceeds (s.) Rent (s.) Rent increase
A 60 + 60 = 120 7 1/2 + 10 = 17 1/2 6 6/7 120 0 0
B 60 + 60 = 120 9 + 12 = 21 6 6/7 144 24 24
C 60 + 60 = 120 10 1/2 + 14 = 24 1/2 6 6/7 168 48 2 x 24
D 60 + 60 = 120 12 + 16 = 28 6 6/7 192 72 3 x 24
E 60 + 60 = 120 13 1/2 + 18 = 31 1/2 6 6/7 216 96 4 x 24
240 10 x 24
Table XIX
Type of land Price of production (s.) Output (bushels) Selling price (s.) Proceeds (s.) Rent (s.) Rent increase
A 60 + 60 = 120 7 1/2 + 10 = 17 1/2 6 6/7 120 0 0
B 60 + 60 = 120 9 + 12 = 21 6 6/7 144 24 24
C 60 + 60 = 120 10 1/2 + 14 = 24 1/2 6 6/7 168 48 2 x 24
D 60 + 60 = 120 12 + 16 = 28 6 6/7 192 72 3 x 24
E 60 + 60 = 120 13 1/2 + 18 = 31 1/2 6 6/7 216 96 4 x 24
240 10 x 24
Variant 2. The productivity of the second capital investment falls; which does not rule out the possibility that the productivity of the first investment may remain the same.
Variant 2: second investment's productivity falls

Variant 2. The productivity of the second capital investment falls — which does not rule out the productivity of the first investment staying the same.

Table XX
Type of land Price of production (s.) Output (bushels) Selling price (s.) Proceeds (s.) Rent (s.) Rent increase
A 60 + 60 = 120 10 + 5 = 15 8 120 0 0
B 60 + 60 = 120 12 + 6 = 18 8 144 24 24
C 60 + 60 = 120 14 + 7 = 21 8 168 48 2 x 24
D 60 + 60 = 120 16 + 8 = 24 8 192 72 3 x 24
E 60 + 60 = 120 18 + 9 = 27 8 216 96 4 x 24
240 10 x 24
Table XX
Type of land Price of production (s.) Output (bushels) Selling price (s.) Proceeds (s.) Rent (s.) Rent increase
A 60 + 60 = 120 10 + 5 = 15 8 120 0 0
B 60 + 60 = 120 12 + 6 = 18 8 144 24 24
C 60 + 60 = 120 14 + 7 = 21 8 168 48 2 x 24
D 60 + 60 = 120 16 + 8 = 24 8 192 72 3 x 24
E 60 + 60 = 120 18 + 9 = 27 8 216 96 4 x 24
240 10 x 24
Variant 3. The productivity of the second capital investment rises; which, under the assumptions made, means a fall in productivity on the first investment.
Variant 3: second investment's productivity rises

Variant 3. The productivity of the second capital investment rises — which, under the assumptions made, requires the productivity of the first investment to fall.

Table XXI
Type of land Price of production (s.) Output (bushels) Selling price (s.) Proceeds (s.) Rent (s.) Rent increase
A 60 + 60 = 120 5 + 12 1/2 = 17 1/2 6 6/7 120 0 0
B 60 + 60 = 120 6 + 15 = 21 6 6/7 144 24 24
C 60 + 60 = 120 7 + 17 1/2 = 24 1/2 6 6/7 168 48 2 x 24
D 60 + 60 = 120 8 + 20 = 28 6 6/7 192 72 3 x 24
E 60 + 60 = 120 9 + 22 1/2 = 31 1/2 6 6/7 216 96 4 x 24
240 10 x 24
Table XXI
Type of land Price of production (s.) Output (bushels) Selling price (s.) Proceeds (s.) Rent (s.) Rent increase
A 60 + 60 = 120 5 + 12 1/2 = 17 1/2 6 6/7 120 0 0
B 60 + 60 = 120 6 + 15 = 21 6 6/7 144 24 24
C 60 + 60 = 120 7 + 17 1/2 = 24 1/2 6 6/7 168 48 2 x 24
D 60 + 60 = 120 8 + 20 = 28 6 6/7 192 72 3 x 24
E 60 + 60 = 120 9 + 22 1/2 = 31 1/2 6 6/7 216 96 4 x 24
240 10 x 24
Kap. 43
Third Case: Inferior Land a Governs Price
Behind us stands the rising-price result of Tables XIX–XXI: with the doubled capital the total rent stands at 240 against Table XI's 120, so the rise belongs to the larger capital, not to a money rent that stayed where it was in the original series. Engels now opens the second modality, where inferior land a enters and governs, so A itself yields rent. The question is what that rent is and how the variants of the second investment's productivity change it. What follows settles that A's rent is differential against a, then follows the three variants in which the second investment's productivity is constant, falls, or rises.
[Second modality.] If an earlier soil (denoted by a) comes to govern price, and land A accordingly yields rent. This allows constant productivity for the second investment in all variants.
worse soil a sets the price

B. Second modality. If a worse soil, called a, becomes the one that governs the price, and land A therefore yields rent. This allows the productivity of the second investment to stay the same in all the variants.

Variant 1. The productivity of the second investment remains the same.
constant productivity of second investment

Variant 1. The productivity of the second investment remains the same.

Table XXII
Type of land Price of production (s.) Output (bushels) Selling price (s.) Proceeds (s.) Rent (s.) Rent increase
a 120 16 7 1/2 120 0 0
A 60 + 60 = 120 10 + 10 = 20 7 1/2 150 30 30
B 60 + 60 = 120 12 + 12 = 24 7 1/2 180 60 2 x 30
C 60 + 60 = 120 14 + 14 = 28 7 1/2 210 90 3 x 30
D 60 + 60 = 120 16 + 16 = 32 7 1/2 240 120 4 x 30
E 60 + 60 = 120 18 + 18 = 36 7 1/2 270 150 5 x 30
450 15 x 30
Table XXII
Type of land Price of production (s.) Output (bushels) Selling price (s.) Proceeds (s.) Rent (s.) Rent increase
a 120 16 7 1/2 120 0 0
A 60 + 60 = 120 10 + 10 = 20 7 1/2 150 30 30
B 60 + 60 = 120 12 + 12 = 24 7 1/2 180 60 2 x 30
C 60 + 60 = 120 14 + 14 = 28 7 1/2 210 90 3 x 30
D 60 + 60 = 120 16 + 16 = 32 7 1/2 240 120 4 x 30
E 60 + 60 = 120 18 + 18 = 36 7 1/2 270 150 5 x 30
450 15 x 30
Variant 2. The productivity of the second investment falls.
falling productivity of second investment

Variant 2. The productivity of the second investment falls.

Table XXIII
Type of land Price of production (s.) Output (bushels) Selling price (s.) Proceeds (s.) Rent (s.) Rent increase
a 120 15 8 120 0 0
A 60 + 60 = 120 10 + 7 1/2 = 17 1/2 8 140 20 20
B 60 + 60 = 120 12 + 9 = 21 8 168 48 20 + 28
C 60 + 60 = 120 14 + 10 1/2 = 24 1/2 8 196 76 20 + 2 x 28
D 60 + 60 = 120 16 + 12 = 28 8 224 104 20 + 3 x 28
E 60 + 60 = 120 18 + 13 1/2 = 31 1/2 8 252 132 20 + 4 x 28
380 5 x 20 + 10 x 28
Table XXIII
Type of land Price of production (s.) Output (bushels) Selling price (s.) Proceeds (s.) Rent (s.) Rent increase
a 120 15 8 120 0 0
A 60 + 60 = 120 10 + 7 1/2 = 17 1/2 8 140 20 20
B 60 + 60 = 120 12 + 9 = 21 8 168 48 20 + 28
C 60 + 60 = 120 14 + 10 1/2 = 24 1/2 8 196 76 20 + 2 x 28
D 60 + 60 = 120 16 + 12 = 28 8 224 104 20 + 3 x 28
E 60 + 60 = 120 18 + 13 1/2 = 31 1/2 8 252 132 20 + 4 x 28
380 5 x 20 + 10 x 28
Variant 3. The productivity of the second investment rises.
rising productivity of second investment

Variant 3. The productivity of the second investment rises.

Table XXIV
Type of land Price of production (s.) Output (bushels) Selling price (s.) Proceeds (s.) Rent (s.) Rent increase
a 120 16 7 1/2 120 0 0
A 60 + 60 = 120 10 + 12 1/2 = 22 1/2 7 1/2 168 3/4 48 3/4 15 + 33 3/4
B 60 + 60 = 120 12 + 15 = 27 7 1/2 202 1/2 82 1/2 15 + 2 x 33 3/4
C 60 + 60 = 120 14 + 17 1/2 = 31 1/2 7 1/2 236 1/4 116 1/4 15 + 3 x 33 3/4
D 60 + 60 = 120 16 + 20 = 36 7 1/2 270 150 15 + 4 x 33 3/4
E 60 + 60 = 120 18 + 22 1/2 = 40 1/2 7 1/2 303 3/4 183 3/4 15 + 5 x 33 3/4
581 1/4 5 x 15 + 15 x 33 3/4
Table XXIV
Type of land Price of production (s.) Output (bushels) Selling price (s.) Proceeds (s.) Rent (s.) Rent increase
a 120 16 7 1/2 120 0 0
A 60 + 60 = 120 10 + 12 1/2 = 22 1/2 7 1/2 168 3/4 48 3/4 15 + 33 3/4
B 60 + 60 = 120 12 + 15 = 27 7 1/2 202 1/2 82 1/2 15 + 2 x 33 3/4
C 60 + 60 = 120 14 + 17 1/2 = 31 1/2 7 1/2 236 1/4 116 1/4 15 + 3 x 33 3/4
D 60 + 60 = 120 16 + 20 = 36 7 1/2 270 150 15 + 4 x 33 3/4
E 60 + 60 = 120 18 + 22 1/2 = 40 1/2 7 1/2 303 3/4 183 3/4 15 + 5 x 33 3/4
581 1/4 5 x 15 + 15 x 33 3/4
Kap. 43
Rent Rises in the Great Majority of Cases
Behind us stands a long new series in bushels and shillings: fourteen constructed tables that run the three cases, constant, falling and rising price of production, through their variants, on the same land and across a range of soils. What is new is the turn from tables to count. The editor who built that series, Friedrich Engels, now draws what it yields: the rule that rents follow differences rather than yields, the tally of what a second capital investment does to the total rent, and the law the tally supports, together with the condition it carries.
These tables now give the following results.
the tables' results introduced

Here, now, is what these tables show.

First of all, the series of rents is in exactly the same ratio as the series of differences in fertility, taking the non-rent-bearing, price-governing land as the zero point. It is not the absolute yields that determine rent, but simply the differences in yields. Whether the various types of land provide yields of 1, 2, 3, 4, 5 bushels per acre, or 11, 12, 13, 14, 15 bushels, the rents are in both cases successively 0, 1, 2, 3, 4 bushels or their respective monetary equivalents. What is far more important, however, is the result as regards the total rents yielded in the case of repeated capital investment on the same land.
differences, not absolute yields

First: the rents run in exactly the same proportion as the differences in fertility, taking the rentless soil that governs price as the zero point. Rent is settled not by absolute yields but only by the differences between yields. Whether the different soils give 1, 2, 3, 4, 5 bushels per acre or 11, 12, 13, 14, 15 bushels, the rents in both cases are 0, 1, 2, 3, 4 bushels in that order, or the money they fetch.

English joined this paragraph
from rent per acre to totals

What matters far more, though, is what comes out for the total rent taken in when capital is put into the same soil more than once.

In five cases out of the thirteen investigated, the total sum of rents also doubles with the capital investment; from 10 x 12s., this becomes 10 x 24s. = 240s. These cases are:
five cases: rent doubles

In five of the thirteen cases examined, the total rent doubles along with the capital invested: instead of 10 × 12s. it becomes 10 × 24s. = 240s. These cases are:

Case I, constant price, variant 1: constant rise in production (Table XII).
constant price, steady increase

Case I, constant price, variant 1: constant rise in production (Table XII).

Case II, falling price, variant 3: increasing rise in production (Table XVIII).
falling price, growing increase

Case II, falling price, variant 3: increasing rise in production (Table XVIII).

Case III, rising price, first modality, where land A continues to govern price, in all three variants (Tables XIX, XX, XXI).
rising price, A still governs

Case III, rising price, first modality, where land A continues to govern price, in all three variants (Tables XIX, XX, XXI).

In four cases, the rent rises to more than double, i.e.:
four cases: more than double

In four of the cases the rent rises to more than twice what the first capital investment yielded. These are:

Case I, variant 3, constant price, but increasing rise in production (Table XV). The total rent rises to 330s.
constant price, rising output

Case I, variant 3: the price stays constant, but production rises by a growing amount (Table XV). The rent total comes to 330s.

Case III, second modality, where land A yields rent, in all three variants (Table XXII, rent = 15 x 30 = 450s.; Table XXIII, rent = 5 x 20 + 10 x 28 = 380s.; Table XXIV, rent = 5 x 15 + 15 x 33 3/4 = 581 1/4 s.).
land A itself yields rent

Case III, second modality: here it is land A itself that yields rent, and it does so in all three variants. Table XXII: rent = 15 × 30 = 450s.; Table XXIII: rent = 5 × 20 + 10 × 28 = 380s.; Table XXIV: rent = 5 × 15 + 15 × 33 3/4 = 581 1/4s.

In one case rent rises, but not to twice the rent in the case of the first capital investment:
one case: below double

In one case the rent rises, but not to twice the amount that the first capital investment yielded:

Case I, price constant, variant 2: falling productivity for the second investment under conditions in which B does not completely cease to bear rent (Table XIV, rent = 4 x 6 + 6 x 21 = 150s.).
second investment less productive

Case I, constant price, variant 2: falling productivity of the second investment, under conditions in which B does not become completely rentless (Table XIV, rent = 4 × 6 + 6 × 21 = 150s.).

Finally, only in three cases does the total rent for the second capital investment remain the same for all kinds of land as with the first investment (Table XI); these are the cases in which land A is withdrawn from competition and land B comes to govern price, thus ceasing to bear rent. Thus not only does the rent for B disappear, it is also deducted from each following member of the rent series, and this is how the result is obtained.
These cases are:
three cases level with Table XI

Finally, in only three cases does the total rent with a second capital investment, across all the soils together, stay at the same level as with the first investment (Table XI); these are the cases where land A is put out of competition and land B becomes price-governing and therefore rentless. B's rent does not simply drop away; it is also subtracted from every later member of the rent series, and that is what shapes the result. These cases are:

Case I, variant 2, when conditions are such that land A drops out (Table XIII). The sum of rent is 6 x 20, i.e. 10 x 12 = 120s., as in Table XI.
A drops out, 120s. again

Case I, variant 2, where the conditions are such that land A drops out (Table XIII). The rent total is 6 × 20, i.e. = 10 × 12 = 120s., as in Table XI.

Case II, variants 1 and 2. Here land A necessarily drops out, according to our assumptions (Tables XVI and XVII), and the sum of rents is again 6 x 20 = 10 x 12 = 120s.
by assumption, A must drop out

Case II, variants 1 and 2. Here, given the assumptions, land A necessarily drops out (Tables XVI and XVII), and the rent total is again 6 × 20 = 10 × 12 = 120s.

This means, therefore, that in the great majority of all possible cases, rents rise, both per acre of the rent-bearing land and particularly in their total sum, as a result of increased capital investment on the land. Only in three cases out of thirteen investigated does the total rent remain unchanged. These are the cases where the most inferior quality of land, which formerly bore no rent and governed price, drops out of competition, and its place is taken by the next higher quality, which thus ceases to bear rent. But in these cases, too, rents rise on the best types of land in comparison with the rents arising from the first capital investment; if the rent for C falls from 24s. to 20s., the rents for D and E rise from 36s. and 48s. to 40s. and 60s.
the great majority of cases

This means: in the great majority of all possible cases, rent rises — both per acre of rent-bearing land and, above all, in its total — because more capital has been invested in the soil. Only 3 of the thirteen cases examined leave the total unchanged. They are the cases where the lowest quality of soil, until then rentless and price-governing, leaves competition and the next higher quality steps into its place and so becomes rentless.

But even in these cases the rents on the best soils rise above those owed to the first capital investment; if the rent for C falls from 24 to 20, then those for D and E rise from 36 and 48 to 40 and 60s.

A case of the total rent being below the level for the first capital investment (Table XI) would be possible only if it was not just land A that dropped out of competition but also land B, so that land C ceased to bear rent and came to govern price.
the one condition for a fall

A total rent below the level of the first capital investment (Table XI) would be possible only if, besides land A, land B also left competition and land C became price-governing and rentless.

Thus the more capital is applied to the land and the higher the development of agriculture and civilization in general in a country, the higher are the levels of rent per acre and the total sum of rent and the more gigantic therefore the tribute society pays the great landowners in the form of surplus profits — as long as types of land once taken into cultivation all remain able to compete.
the law and its condition

So the more capital is applied to the soil, and the higher the development of agriculture and of civilization in general in a country, the higher rents rise per acre and in total, and the more gigantic the tribute that society pays the great landowners in the form of surplus profits — as long as the types of soil once taken into cultivation all stay able to compete.

Kap. 43
Other People's Capital: Large Landowners' Vitality and Exhaustion
The reader arrives carrying a law with a condition attached: more capital on the land raises rents so long as every soil once taken into cultivation can still compete — a law Engels has just drawn from cases he worked out himself, and one he can now put to the test, because he is writing after the event. What Engels settles next is how that condition held for a generation after the Corn Laws were repealed, and how transoceanic grain then broke it.
This law explains the amazing vitality of the class of large landowners. No other social class lives in so extravagant a manner; no other class claims such a right as this does to a traditional luxury in keeping with its ‘estate’, irrespective of where the money for this comes from; no other class piles debts upon debts in such a light-hearted way. And yet time and again they fall on their feet - thanks to the capital of other people that is put into the soil and yields them rent, completely out of all proportion to the profits the capitalist draws from this.
vitality from other people's capital

This law explains the amazing vitality of the class of large landowners. No other social class lives so extravagantly; no other class claims, as this one does, a right to a traditional luxury "befitting its station", no matter where the money for it comes from; no other piles debts on debts so light-heartedly. And yet it always lands on its feet — thanks to capital other people have put into the soil, which yields it rents quite out of proportion to the profits the capitalist draws from it.

The same law, however, also explains why this vitality of the large landowner is gradually approaching its end.
same law, coming exhaustion

But the same law also explains why this vitality of the large landowner gradually runs out.

When the Corn Laws were repealed in 1846, the English manufacturers believed they had thereby made the land-owning aristocracy into paupers. Instead, these aristocrats became richer than before. How did this happen? Very simply. Firstly, they now insisted in their contracts that the farmers should invest £12 a year on each acre instead of £8, while secondly, being represented in large numbers even in the House of Commons, the landlords granted themselves a hefty state subsidy for drainage and other permanent improvements to their estates. Since the worst land was not totally withdrawn from cultivation, but was at most used temporarily for other purposes, rents rose in proportion to the increased capital investment and the landed aristocracy did better than they had before.
1846: the aristocracy grows richer

When the English Corn Laws were repealed in 1846, English manufacturers thought they had turned the landowning aristocracy into paupers. Instead it became richer than ever before. How did that come about? Quite simply. First, from then on the farmers were contractually required to lay out £12 per acre a year instead of £8; and second, the landlords, who were very numerous even in the House of Commons, voted themselves a large state subsidy for draining and otherwise permanently improving their land. Since the worst land was not wholly driven out, but at most turned to other uses, and usually only for a time, rents rose in proportion to the increased capital investment, and the landed aristocracy was better off than ever before.

But everything comes to an end eventually. The transoceanic steamships, and the railways in North and South America and in India, made some quite singular tracts of land able to compete on the European corn markets. First there were the North American prairies and the Argentine pampas, steppes which nature itself has made arable, virgin soil that offered rich yields for years even on rudimentary tilling and without fertilizer. Then there were the lands of the Russian and Indian communistic communities, which had to sell a portion of their product, and an ever growing one at that, to get money for the taxes exacted by a merciless state despotism — often enough by torture. These products were sold with no regard for their costs of production, sold at the price which the dealer offered, because the peasant absolutely had to have money at the payment date. And faced with this competition — from virgin prairie soil and from Russian and Indian peasants succumbing to the screws of taxation — the European farmer or peasant could not survive at the old rents. One portion of European soil became definitively uncompetitive for corn growing, while everywhere rents fell. Our ‘second case, variant 2’, falling prices and falling productivity on the additional capital investment, became the rule in Europe, and hence the agrarian complaint from Scotland to Italy, from the south of France to East Prussia. Fortunately, not all prairie land has yet been brought into cultivation by a long chalk; enough is still left to ruin European large-scale landownership completely — and small-scale ownership into the bargain. — F. E.)
transoceanic competition and falling rents

But nothing lasts. Steamships crossing the ocean, and the railways of North and South America and India, put some very peculiar stretches of land in a position to compete on the European corn markets. On one side there were the North American prairies and the Argentine pampas — steppes that nature itself had made ready for the plough, virgin soil that for years on end gave rich yields even under primitive farming and without fertilizer. And on the other side there were the lands of the Russian and Indian village communes, which had to sell part of their product, and a steadily growing part at that, to get money for the taxes that the merciless despotism of the state forced out of them — often enough by torture. What these products sold for had nothing to do with what they cost to produce: they went at the price the dealer offered, since the peasant had no choice at all — he needed money by the day the payment fell due. Against this competition — from virgin steppe soil and from Russian and Indian peasants crushed under the tax screw — the European farmer and peasant could not hold out at the old rents. Part of Europe's soil was driven for good out of competition in corn growing, rents fell everywhere, our second case, variant 2 — falling price and falling productivity of the additional capital investments — became the rule for Europe, and hence the agrarian lament from Scotland to Italy and from southern France to East Prussia. Fortunately, not all the steppe land has been taken into cultivation yet — far from it; enough still remains to ruin the whole of European large-scale landownership, and small-scale ownership into the bargain. — F. E.

Kap. 43
The Heads Under Which Rent Is Treated
Behind us lies a reconstruction that was not Marx's: the third case's tables, results and history were written by Engels after the draft left only the case's title. Here Marx's own text resumes. What arrives is a plan of treatment rather than a settled report. Its shape is the order: concept first, then the two forms, then the price modalities and the separate transformation, then the heads beyond differential rent. The rising-price case is the one this text will work; the transformation and those further heads remain open.
*
*
Rent should be discussed under the following heads:
the heads for treating rent

These are the heads under which rent is to be treated:

A. Differential rent.
the major heading: differential rent

A. Differential rent.

1. The concept of differential rent. Example of water-power. Transition to agricultural rent proper.
concept, water-power, agricultural rent

1. The concept of differential rent. Example of water-power. Transition to agricultural rent proper.

2. Differential rent I, arising from the varying fertility of different portions of land.
rent I: varying fertility of portions

2. Differential rent I, arising from the varying fertility of different portions of land.

3. Differential rent II, arising from successive capital investments on the same land. Differential rent II should be examined
(a) with price of production constant;
(b) price of production falling;
(c) price of production rising.
As well as
(d) The transformation of surplus profit into rent.
the task: examine rent II

3. Differential rent II, arising from successive capital investments on the same land. Differential rent II is to be examined (a) with a stationary price of production, (b) with a falling price of production, (c) with a rising price of production. And further, (d) the transformation of surplus profit into rent.

4. Influence of this rent on the rate of profit.
rent's influence on the profit rate

4. Influence of this rent on the rate of profit.

B. Absolute rent.
absolute rent, a further head

B. Absolute rent.

C. The price of land.
the price of land, a head

C. The price of land.

D. Final considerations on ground-rent.
closing head: ground-rent

D. Final considerations on ground-rent.

Kap. 43
Transformation into Rent Presupposes Equalization
The reader arrives from Marx's own plan of heads, the list of rubrics that opens his resumed text. What Marx states in general form is the result the whole analysis of differential rent has reached: that surplus profits formed on either path become rent only through the prior equalization of the successive investments' separate production prices into one average price for the acre. That step is named here as a summing-up, not derived afresh; Marx then works it through acre B and closes on what a comparison of yields per acre cannot show.
*
*
We now have the following general result from considering differential rent as a whole.
General result of differential rent

The overall result of looking at differential rent is this:

Firstly, the formation of surplus profits can occur in various ways. On the one hand on the basis of differential rent I, i.e. the investment of the total agricultural capital on an acreage consisting of types of land of differing fertility. Then, as differential rent II, on the basis of the varying differential productivity of successive capital investments on the same land, i.e. a greater productivity is obtained, in quarters of wheat, for example, than with the same capital investment on the most inferior land, which bears no rent but governs the production price. No matter how these surplus profits might arise, their transformation into rent, i.e. their transfer from the farmer to the landowner, always presupposes as its initial condition that the various actual individual prices of production (i.e. those independent of the general production price that governs the market) which the partial products of the individual successive capital investments possess are equalized in advance to give an individual average price of production. The excess of this general, governing production price of the product of an acre over the individual average production price, forms and measures the rent per acre. In the case of differential rent I, the differential results can be distinguished in and for themselves, because they take place on different areas of land, outside and alongside one another, given a capital outlay per acre that is taken as normal, and the normal cultivation corresponding to it. In the case of differential rent II, they must first be made distinguishable, they must in fact be transformed back into differential rent I, and this can only be done in the manner indicated.
Let us take Table III, for instance, on p. 826.
Two paths, one averaging precondition

First: surplus profits can be formed along more than one route. One route is differential rent I — the whole agricultural capital laid out over a stretch of land that takes in soils of differing fertility. The other is differential rent II, resting on how the differential productivity of successive capital investments on the same soil varies; here the investment brings more, in quarters of wheat for instance, than the same capital investment achieves on the poorest soil, the rentless one that all the same governs the production price. However such surplus profits arise, before any of them can be turned into rent — that is, before the farmer hands it over to the landowner — one thing must always hold in advance: the several actual individual production prices that the partial products of the separate successive capital investments carry (actual in the sense of being independent of the general production price that governs the market) have first to be equalized into a single individual average production price. Rent per acre is then the excess of the general, governing production price of an acre's product over that acre's own individual average production price, and that excess measures the rent. Under differential rent I, the differential results can be told apart on their own account, since they arise on separate parts of the land lying outside and beside one another, with a capital outlay per acre assumed to be normal and the normal cultivation that goes with it. Under differential rent II, they have first to be made tellable apart — they really do have to be turned back into differential rent I — and this can happen only in the way just set out. Take Table III, for example.

For the first capital investment of £2 1/2, land B yields 2 qrs per acre, and for the second capital of equal size, 1 1/2 qrs; a total of 3 1/2 qrs on the same acre. We cannot tell from this 3 1/2 qrs, which grows all on the same land, how much is the product of capital investment (1) and how much of capital investment (2). It is actually the product of the total capital of £5; and the fact of the matter is simply that a capital of £2 1/2 yielded 2 qrs, while one of £5 yields not 4 but 3 1/2 qrs. It would be exactly the same if the £5 were to yield 4 qrs, so that the yields of the two capital investments were equal, or even 5 qrs, so that the second capital investment produced an excess of 1 qr. The production price of the first 2 qrs is £1 1/2 per qr in our example, while that of the second 1 1/2 qrs is £2 per qr. The 3 1/2 qrs together therefore cost £6. This is the individual production price of the total product, and makes an average of £1 5/7 per qr. For the general production price of £3 as determined by land A, this gives a surplus profit of £1 2/7 per qr, and thus for the 3 1/2 qrs a total of £4 1/2. Given the average production price for B, this is expressed in 1 1/2 qrs. B’s surplus profit is thus expressed in an aliquot part of its product, the 1 1/2 qrs that forms the rent expressed in corn and is sold at £4 1/2, given the general production price. But the extra product from an acre of B over that of an acre of A does not directly represent surplus profit and hence surplus product. According to our assumption, the acre of B produces 3 1/2 qrs, the acre of A only 1 qr. The excess product on B is thus 2 1/2 qrs, but the surplus product is only 1 1/2 qrs, for twice as much capital is applied on B as on A, so that the production costs here are double. If there was a similar investment of £5 on A, and the rate of productivity remained the same, its product would be 2 qrs instead of 1 qr; the surplus product would be found by comparing not the 3 1/2 qrs and the 1 qr but rather the 3 1/2 qrs and the 2 qrs, so that it would not be 2 1/2 qrs but only 1 1/2 qrs. Moreover, if B invested a third portion of capital of £2 1/2 which yielded only 1 qr, so that this qr cost £3, as on A, its sale price of £3 would cover only the costs of production, yielding only the average profit and no surplus profit, and therefore nothing that could be transformed into rent. The product per acre of any other type of land, compared with the product per acre of land A, indicates neither whether it is the product of the same capital investment or a greater one, nor whether the excess product simply covers the production price or whether it is due to higher productivity of the extra capital.
B: excess product, not surplus product

Land B yields 2 qrs per acre for the first capital investment of £2 1/2, and 1 1/2 qrs for the second, equally large one; 3 1/2 qrs together on the same acre. Looking at these 3 1/2 qrs, all grown on the same soil, you cannot tell which part is the product of investment I and which of investment II. They are in fact the product of the whole capital of £5; the only real fact is that a capital of £2 1/2 produced 2 qrs, and one of £5 produced not 4 but 3 1/2. The case would be exactly the same if the £5 produced 4 qrs, so that the two investments' yields were equal, or even 5 qrs, so that the second investment would yield an excess of 1 qr.

The production price of the first 2 qrs is £1 1/2 per qr, and that of the second 1 1/2 qrs is £2 per qr. The 3 1/2 qrs together therefore cost £6. That is the individual production price of the total product, and comes to an average of £1 14 2/7 sh. per qr, say roughly £1 3/4. At the general production price of £3 set by land A, this gives a surplus profit of £1 1/4 per qr, and so for the 3 1/2 qrs a total of £4 3/8. At B's average production price this is represented by roughly 1 1/2 qrs. So B's surplus profit is represented in a proportional part of B's product, the 1 1/2 qrs that form the rent expressed in corn and that sell at the general production price for £4 1/2.

But the other way round, the extra product of an acre of B over an acre of A is not automatically a representation of surplus profit and hence of surplus product. On our assumption, acre B produces 3 1/2 qrs, acre A only 1 qr. So the excess product on B is 2 1/2 qrs, but the surplus product is only 1 1/2 qrs; for twice the capital is invested on B as on A, and so the production costs there are double. If £5 were also invested on A and the rate of productivity stayed the same, the product would be 2 qrs instead of 1, and this would show that the real surplus product is found by comparing not 3 1/2 and 1 but 3 1/2 and 2; that it is therefore not 2 1/2 but only 1 1/2 qrs.

Further, if B put in a third portion of capital of £2 1/2 that yielded only 1 qr, so that this qr cost £3, as on A, then its sale price of £3 would cover only the production costs, would yield only the average profit, but no surplus profit, and hence nothing that could be turned into rent. And the product per acre of any kind of soil, compared with the product per acre of soil A, shows neither whether it is the product of an equal capital investment or a greater one, nor whether the additional product merely covers the production price or is owed to higher productivity of the additional capital.

Kap. 43
No Price Rise, Unchanged Surplus Profit per Acre
Behind us stands the first general result: successive capital investments on one acre are averaged into a single individual production price, and the transformation of surplus profit into rent presupposes that average. What remains open is how far additional capital investments whose productivity falls can go without forcing the governing price upward or dissolving rent already formed. Marx settles that here. He separates the limit at which new surplus profit stops from the limit at which the whole capital on the better soil would form no rent. For break-even additions at the governing price, total surplus profit per acre stays unchanged even as the surplus profit per quarter on B's new average falls.
Secondly. Given a declining rate of productivity on the extra capital investments — and the limiting capital investment, as far as the formation of new surplus profit is concerned, is the one that simply covers the production costs, i.e. that produces a quarter of wheat as expensively as the same capital investment would on an acre of land A, for £5 on our assumption — it results from our previous argument that the limit at which the total capital investment on the acre of B would form no more rent is that at which the individual average production price of the product per acre of B would rise to the production price per acre of A.
The limit for new surplus profit

Second: when extra capital investments bring a falling rate of productivity, the limit — as far as the forming of new surplus profit goes — is the investment that only covers its production costs, that is, one that produces a quarter as expensively as the same investment on an acre of land A, hence £3 a quarter on our assumption. What follows from what has just been developed is that the total capital investment on B's acre would no longer form any rent only at the point where B's individual average production price of the product per acre would rise to A's production price per acre.

If B adds only capital investments that pay the production price, and thus do not form any surplus profit or new rent, then although this increases the individual average production price per quarter, it does not affect the surplus profit formed by the earlier capital investments, which would eventually affect the rent. For the average production price always remains below that of A, and if the extra price per quarter declines, the number of quarters increases in the same proportion, so that the total excess price remains the same.
Average price up, total excess steady

If B adds only investments that pay the production price — so they form no surplus profit and no new rent — then this does raise B's individual average production price per quarter, but it leaves untouched the surplus profit formed by the earlier investments, and the rent as the case may be. For the average production price always stays below A's; and when the excess price per quarter falls, the number of quarters rises in the same proportion, so the total excess price stays constant.

In the case taken here, the first two capital investments on B, of £5 each, produce a yield of 3 1/2 qrs, i.e. a rent of 1 1/2 qrs, = £4 1/2, according to our assumption. If a third capital investment of £2 1/2 is now added, which however only produces one extra quarter, the total production price of the 4 1/2 qrs (including 20 per cent profit) = £9, i.e. the average price per qr = £2. The average production price per qr on B has thus risen from £1 5/7 to £2, and the surplus profit per qr compared with the governing price of A has fallen from £1 2/7 to £1. But £1 x 4 1/2 = £4 1/2, just as previously £1 2/7 x 3 1/2 = £4 1/2.
Third investment: lower surplus per quarter

In the case we have assumed, B's first two investments come to £5 and produce 3 1/2 qrs, which on our assumption is 1 1/2 qrs of rent = £4 1/2. Now a third investment of £2 1/2 is added, producing only one extra quarter. The total production price of the 4 1/2 qrs (20 per cent profit included) is then £9, so the average price per quarter is £2.

The average production price per quarter on B has thus risen from £1 5/7 to £2, and the surplus profit per quarter, measured against A's governing price, has fallen from £1 2/7 to £1. But £1 × 4 1/2 = £4 1/2, exactly as before £1 2/7 × 3 1/2 = £4 1/2.

If we assume that fourth and fifth additional capital investments of £2 1/2 are made on B, each producing 1 qr only at its general production price, the total product per acre would now be 6 1/2 qrs, and its cost of production £15. The average production price per qr for B would have risen again from £2 to £2 4/13, while the surplus profit per qr, compared with the governing production price of A, would have fallen again from £1 to £9/13. But this £9/13 would now be multiplied by 6 1/2 qrs instead of 4 1/2 qrs, and £9/13 x 6 1/2 = £1 x 4 1/2 = £4 1/2.
Fourth and fifth investments: total unchanged

Suppose a fourth and a fifth extra investment of £2 1/2 each were also made on B, each producing its quarter only at the general production price. The total product per acre would then be 6 1/2 qrs, and its production costs £15. The average production price per quarter for B would have risen again, from £2 to £2 4/13, and the surplus profit per quarter, measured against A's governing production price, would have fallen again, from £1 to £9/13. But this £9/13 would now be reckoned on 6 1/2 quarters instead of 4 1/2. And 9/13 × 6 1/2 = £1 × 4 1/2 = £4 1/2.

The first thing that follows from this is that under these conditions no increase in the governing production price is needed to make additional capital investments possible on the rent-bearing types of land, even up to the level at which the additional capital completely ceases to provide surplus profit and simply still yields the average profit. It also follows that the total surplus profit per acre remains the same here, no matter how much the surplus profit per quarter declines; this decline is always offset by a corresponding increase in the quarters produced per acre. In order that the average production price may rise to the general production price (i.e. in this case to £3 for land B), additional capital must be added, the product of which has a higher production price than the governing one of £3. But we shall see that even this is not by itself sufficient to drive up the average price of production per quarter on B to the general production price of £3.
No higher governing price needed

From this it follows, first, that under these conditions no increase in the governing production price is needed to make extra investments on the rent-bearing types of land possible — even down to the point where the additional capital stops yielding surplus profit altogether and brings in only the average profit.

It follows further that here the total surplus profit per acre stays the same, however far the surplus profit per quarter may fall; that fall is always offset by a matching increase in the quarters produced per acre.

For B's average production price to rise to the general production price — that is, to climb to £3 here — capital would have to be added whose product has a higher production price than the governing £3. But we shall see that even this is not by itself enough to drive B's average production price per quarter up to the general production price of £3.

Kap. 43
Rent Need Not Disappear, Only Decline
The preceding movement stopped at the capital investment whose product costs exactly what the governing price pays, and found that such an addition disturbs neither the surplus profit already formed nor the price itself. What arrives now is one step past that limit: capital investments whose product costs more than the governing price. The sums are worked and the assumption is hardened. Does rent survive such additional investments — is it extinguished, or only reduced?
Let us assume that production on land B is as follows:
the assumed case on land B

Suppose production on land B had been as follows:

1. 3 1/2 qrs as before at a production price of £6; i.e. two capital investments of £2 1/2 each, which both form surplus profits, but of decreasing size.
first item: two investments

1. 3 1/2 qrs, just as before, with a production price of £6. That is two capital investments, £2 1/2 each, and each one forms surplus profit — though the surplus profit keeps shrinking.

2. 1 qr at £3; a capital investment in which the individual production price would be equal to the governing production price.
second item: at the governing price

2. 1 qr at £3 — a capital investment whose individual production price would be equal to the governing production price.

3. 1 qr at £4; a capital investment in which the individual price of production is 33 1/3 per cent higher than the governing price.
third item: above the governing price

3. 1 qr at £4 — a capital investment whose individual production price is 33 1/3 per cent higher than the governing price.

We would then have 5 1/2 qrs per acre at £13, for a capital investment of £10 7/10; four times the original capital investment, but less than three times the product of the first capital investment.
capital fourfold, crop not yet threefold

The acre would then carry 5 1/2 qrs, their production price £13, on a capital outlay of £10 7/10. That is four times the capital first laid out — and yet the product is not yet three times what the first outlay produced.

5 1/2 qrs at £13 gives an average production price of £2 4/11 per qr, i.e. at the governing production price of £3 there is an excess of £7/11 per qr which can be transformed into rent. 5 1/2 qrs for sale at the governing price of £3 gives £16 1/2. After deducting the production costs of £13, there remains £3 1/2 surplus profit or rent, which would represent 1 25/52 qrs at the prevailing average production price per qr on B, which is £2 4/11. The money rent would have fallen by £1, the corn rent by about 1/2 qr, yet despite the fact that the fourth extra capital investment on B [heading 3 above] produces not only no surplus profit, but rather less than the average profit, there is still surplus profit and rent as before. If we assume that not only this fourth capital investment, but the third, too, produces at over the governing production price in this way, the total production would be 3 1/2 qrs at £6 plus 2 qrs at £8, altogether 5 1/2 qrs for a production cost of £14. The average production price per qr would be £2 6/11, and would leave a surplus of £5/11. The 5 1/2 qrs, sold at £3 per qr, gives £16 1/2; subtracting £14 for the cost of production, £2 1/2 is left for rent. This would be 55/56 qrs at the new average production price. Some rent is still lost, although less than before.
four investments averaged into rent

Take the 5 1/2 qrs at £13. That works out to an average production price for B of £2 4/11 per qr. Against the governing production price of £3 this leaves an excess of £7/11 per qr, and that excess can be turned into rent. Sell the 5 1/2 qrs at the governing price of £3 and £16 1/2 comes in. The production costs are £13; what is left over is £3 1/2, surplus profit or rent.

At B's present average production price of £2 4/11 per qr, that £3 1/2 stands for 1 25/52 qrs. The money rent would have fallen by £1 and the corn rent by about 1/2 qr. But the fourth additional capital investment on B produces no surplus profit at all — it produces less than the average profit — and even so, surplus profit and rent are still there.

Now suppose that not only the capital investment listed under item 3, but the one under item 2 as well, produces above the governing production price. Total production is then 3 1/2 qrs at £6 plus 2 qrs at £8, altogether 5 1/2 qrs at £14 of production costs. The average production price per qr would be £2 6/11 and would leave an excess of £5/11. Sell the 5 1/2 qrs at £3 and you get £16 1/2; subtract the £14 of production costs and £2 1/2 is left for rent. At B's present average production price, that would be 55/56 qrs. So rent still accrues — less than before, but it still accrues.

This shows us that the rent on the better lands need not disappear with additional capital investments whose production costs more than the governing production price, at least within the limits of permissible practice, but need only decline, this decline being in proportion on the one hand to the aliquot part that this relatively unproductive capital forms of the total capital outlay, and on the other hand to the decline in its productivity. The average price of its product would still always stand below the governing price and would thus still leave a surplus profit which can be transformed into rent.
within practical limits, rent only falls

At any rate this shows us that on the better lands, when extra capital investments are put in whose product costs more than the governing production price, the rent does not vanish — at least within the limits of permissible practice. It only has to decline. And it declines in proportion to two things: the share of the whole capital outlay that this less fruitful capital makes up, and the drop in its productivity.

The average price of the whole product grown on that land would still lie below the governing price, and so would still leave a surplus profit that can be turned into rent.

Kap. 43
Rent Vanishes at an Unchanged Production Price
The reader arrives carrying a rent that has been made to fall without disappearing: additional capital whose product costs more than the governing price reduces rent in proportion to its share and to the fall in its productivity, yet leaves some rent behind. The question now is whether rent can vanish altogether without the price of corn rising, while the farmer's ordinary profit remains intact and A still governs.
Let us now assume that the average price for a quarter on B coincides with the general production price, as a result of four successive capital investments (£2 1/2, £2 1/2, £5 and £5) with declining productivity.
Four investments: larger later, falling productivity

Now suppose that the average price of a quarter on B comes out the same as the general production price. That comes about through four investments of capital made one after another on B — £2 1/2, £2 1/2, £5 and £5 — each less productive than the one before it.

Capital (£) Profit (£) Output (qrs) Price of production Selling price (£) Proceeds (£) Surplus for rent
per qr (£) total (£) qrs £
1) 2 1/2 1/2 2 1 1/2 3 3 6 1 3
2) 2 1/2 1/2 1 1/2 2 3 3 4 1/2 1/2 1 1/2
3) 5 1 1 1/2 4 6 3 4 1/2 -1/2 -1 1/2
4) 5 1 1 6 6 3 3 -1 -3
15 3 6 18 18 0 0
Capital (£) Profit (£) Output (qrs) Price of production Selling price (£) Proceeds (£) Surplus for rent
per qr (£) total (£) qrs £
1) 2 1/2 1/2 2 1 1/2 3 3 6 1 3
2) 2 1/2 1/2 1 1/2 2 3 3 4 1/2 1/2 1 1/2
3) 5 1 1 1/2 4 6 3 4 1/2 -1/2 -1 1/2
4) 5 1 1 6 6 3 3 -1 -3
15 3 6 18 18 0 0
In this case the farmer sells each quarter at its individual price of production, and hence sells the total number of quarters at their average production price per quarter, which coincides with the governing price of £3. Now as before, therefore, he makes a profit of 20 per cent = £3 on his capital of £15. But the rent has disappeared. Where does the surplus go when the individual production price of each quarter is equalized with the general production price in this way?
profit unchanged, rent gone

Here the farmer sells every quarter at its own individual production price, and so the whole number of quarters at their average production price per quarter — which is the same as the £3 that governs the price. So he still makes 20 per cent on his capital of £15, that is £3. But the rent has disappeared. Where has the surplus gone, in this evening-out of each quarter's individual production price with the general production price?

The surplus profit on the first £2 1/2 was £3; on the second £2 1/2 it was £1 1/2; the total surplus profit on this third of the capital advanced, i.e. on £5, was £4 1/2 = 90 per cent.
First two investments' surplus profit

The first £2 1/2 yielded £3 of surplus profit, the second £2 1/2 yielded £1 1/2. On the £5 that these two together make up — one third of the capital advanced — the surplus profit comes to £4 1/2, which is 90 per cent.

The third capital investment of £5 not only yields no surplus profit, but its product of 1 1/2 qrs, sold at the general price of production, brings a loss of £1 1/2. On the fourth capital investment, finally, which is also £5, the product of 1 qr, sold at the general price of production, brings a loss of £3. These two capital investments together thus involve a loss of £4 1/2, equal to the surplus profit of £4 1/2 produced by capital investments (1) and (2).
the later investments' deficits

With the third investment, the £5 brings no surplus profit at all, and its product of 1 1/2 qrs, sold at the general production price, shows a deficit of £1 1/2. Finally, with the fourth investment, also of £5, its product of 1 qr, sold at the general production price, shows a deficit of £3. Both investments together therefore come to a deficit of £4 1/2 — the same as the £4 1/2 of surplus profit that the first and second investments brought in.

The surplus profits and the losses of profit cancel out. The rent therefore vanishes. In fact, however, this is possible only because the elements of surplus-value that formed surplus profit or rent now go into the formation of the average profit. The farmer makes this average profit of £3 on £15, or 20 per cent, at the expense of the rent.
surpluses and deficits cancel; rent vanishes

On one side there are surplus profits, on the other losses of profit, and the two balance out. So the rent vanishes. In fact, however, this can happen only because the elements of surplus-value that formed surplus profit or rent now enter into the formation of average profit. The farmer's average profit here is £3 on £15, or 20 per cent, and he makes it at the rent's expense.

The establishment of equality between the individual average production price on B and the general production price on A, which governs the market, presupposes that the amount by which the individual price of the product of the earlier capital investments stands below the governing price is offset more and more, and finally cancelled out by the amount by which the product of the later capital investments comes to stand above the governing price. What appears as surplus profit, as long as the product of the earlier capital investments is sold by itself, gradually becomes part of the average production price and thereby goes into the formation of the average profit, until it is finally absorbed by this entirely.
gradually absorbed into the average profit

For B's individual average production price to even out with the general production price of A — the one that governs the market price — the gap by which the individual price of the earlier investments' product sits below the governing price has to be offset more and more, and finally cancelled, by the gap by which the later investments' product comes to sit above the governing price. What shows up as surplus profit as long as the earlier investments' product is sold on its own thus bit by bit becomes part of their average production price, and so enters the formation of the average profit, until at last the average profit swallows it whole.

If, instead of £15 capital, only £5 is laid out on B and the extra 2 1/2 qrs in the last table are produced by 2 1/2 acres of A being freshly cultivated with a capital investment of £2 1/2 per acre, then the additional capital laid out would amount only to £6 1/4, i.e. the total outlay on A and B for the production of these 6 qrs would be only £11 1/4 instead of £15 and their total production costs, including profit, would be £13 1/2. The 6 qrs would still be sold together for £18, as before, but the capital outlay would have decreased by £3 3/4, and the rent on B would come to £4 1/2 per acre, again as before. It would be a different matter if in order to produce the extra 2 1/2 qrs it were necessary to resort to worse land than A, to A-1, A-2, with a resulting production price per qr for 1 1/2 qrs on land A-1 of £4, and for the final qr on A-2 of £6. In this case, £6 would be the governing production price per qr. The 3 1/2 qrs from B would be sold for £21 instead of for £10 1/2, which would give a rent of £15 instead of £4 1/2, and of 2 1/2 qrs in corn instead of 1 1/2 qrs. On A, similarly, the 1 qr would now yield a rent of £3 = 1/2 qr.
two routes for the extra corn

If, instead of laying £15 of capital on B, only £5 is laid on B, and the extra 2 1/2 qrs of the last table are produced by farming 2 1/2 new acres of A with £2 1/2 of capital per acre, then the extra capital laid out would be only £6 1/4, so the whole outlay on A and B to produce these 6 qrs would be only £11 1/4 instead of £15, and their total production costs including profit £13 1/2. The 6 qrs would still all sell for £18; but the capital laid out would have fallen by £3 3/4, and the rent on B would come to £4 1/2 per acre, as before.

It would be a different story if, to produce the extra 2 1/2 qrs, recourse had to be had to worse soil than A, to A-1 and A-2, so that the production price per qr came to £4 for 1 1/2 qrs on A-1 and £6 for the last qr on A-2. In that case £6 would be the governing production price per qr. B's 3 1/2 qrs would sell for £21 instead of £10 1/2, which would give a rent of £15 instead of £4 1/2, and in corn 2 1/2 qrs instead of 1 1/2 qrs. In the same way, on A the one quarter would now carry a rent of £3 = 1/2 qr.

One final remark before we discuss this point further.
one remark first

Before we go further into this point, one more remark.

The average price of a quarter on B is equalized and coincides with the general production price of £3 per qr governed by A, as soon as the part of the total capital that produces the additional 1 1/2 qrs is offset by the part of the total capital that produces the deficient 1 1/2 qrs. How soon this equalization is reached, or how much capital must be invested on B with deficient productivity for it to be reached, depends, taking the surplus productivity of the first capital investments as given, on the relative underproductivity of the capitals later applied, compared with an equally large capital investment on the poorest, price-governing land A, or on the individual production price of the product of this investment, compared with the governing price.
When B's average reaches £3

B's average price per quarter levels out and comes to coincide with the general production price of £3 per qr. governed by A, as soon as the part of the total capital that turns out the excess 1 1/2 qrs is counterbalanced by the part of the total capital that turns out the 1 1/2 qrs falling short. How soon this equalization is reached, or how much capital of deficient productivity must be invested in B to bring it about, depends — with the surplus productivity of the first investments taken as given — on the relative underproductivity of the capital invested later, compared with an equally large investment on the poorest price-governing land A, or on the individual production price of its product compared with the governing price.

Kap. 43
Rent per Acre: Rising, Unchanged or Falling
The reader arrives from the case where rent vanished at an unchanged £3. What is settled here is not a rising price but the general shape of differential rent II when additional capital is laid out on the same soil and the governing production price normally stays the same. The three cases are ordered by what happens to the absolute amount of corn and money rent per acre, while the rate on the capital advanced moves otherwise. Marx states these as results drawn from the preceding analysis, and he names the single condition under which rent is extinguished.
*
*
Here is the next point that arises from the foregoing.
what the earlier analysis yields

To start with, this follows from everything that has come before.

Firstly, as long as the additional capitals are invested on the same land with surplus productivity, even if this is decreasing, the absolute corn and money rent per acre rises, even if it declines relatively, in proportion to the capital advanced (i.e. the rate of surplus profit or rent). The limit here is formed by that additional capital which yields only the average profit, or for whose product the individual production price coincides with the general one. The production price remains the same, under these conditions, as long as the increased supply does not make production from the poorer types of land superfluous. Even with a falling price, these additional capitals can still produce a surplus profit within certain limits, even if a smaller one.
first case: rent rises, rate falls

First. So long as extra capitals are laid out on the same soil with surplus productivity — even a shrinking one — the absolute corn rent and money rent per acre grow, while relatively, measured against the capital advanced (that is, as the rate of surplus profit or of rent), they fall.

The limit here is set by that extra capital which yields only the average profit, or whose product carries an individual production price equal to the general one.

Under these circumstances the production price stays the same, unless the increased supply makes production from the poorer types of soil superfluous. Even with a falling price, these extra capitals can still produce a surplus profit, even if a smaller one, within certain limits.

Secondly, the investment of additional capital which produces only the average profit, i.e. whose surplus productivity = 0, does not alter the amount of surplus profit and hence rent that is formed. The individual average price per quarter therefore rises on the better types of land; the excess per quarter declines, but the number of quarters bearing this reduced excess increases, in such a way that the product of the two remains the same.
second case: surplus productivity zero

Second. Laying out extra capital that produces only the average profit — whose surplus productivity is therefore zero — changes nothing in the amount of surplus profit formed, and so nothing in the rent. It does make the individual average price per quarter rise on the better soils. The excess per quarter shrinks, but the number of quarters carrying that smaller excess grows, so the two together give the same product as before.

Thirdly, additional capital investments for which the individual production price of their products stands above the governing price, so that their surplus productivity is not just nothing but less than nothing, a negative quantity (i.e. a productivity less than that of the same capital investment on the price-governing land A), bring the individual average price of the total product of the better land ever closer to the general production price, and thus more and more reduce the difference between the two, which is what forms the surplus profit or rent. More and more of what would form surplus profit or rent goes into the formation of the average profit. And yet, for all that, the total capital invested on an acre of B continues to yield a surplus profit, even if this declines with the increasing amount of capital of deficient productivity and with the level of this underproductivity. The rent per acre in this case falls in absolute terms as capital grows and production increases, and does not just fall relatively to the growing size of the capital invested, as it does in the second case.
third case: rent falls absolutely

Third. Extra capital investments whose product has an individual production price above the governing price — where surplus productivity is not merely zero but less than zero, a minus, that is, less than the productivity of the same capital laid out on the governing soil A — bring the individual average price of the better soil's total product ever closer to the general production price. So they keep shrinking the difference between the two, and that difference is what forms the surplus profit, or the rent. More and more of what formed surplus profit or rent goes into forming the average profit.

Yet even so, the total capital laid out on an acre of B goes on yielding surplus profit — though a shrinking one, as the mass of underproductive capital grows and as that underproductivity deepens.

Here the rent falls absolutely per acre, as capital grows and production increases; it does not, as in the second case, fall only relatively, against the growing size of the capital invested.

The rent can disappear only if the individual average production price of the total product on the better land B coincides with the governing price, i.e. if the entire surplus profit of the earlier and more productive capital investments has been used to form the average profit.
the one condition for extinction

Rent can be extinguished on one condition only: the individual average production price of the whole product grown on the better soil B has to meet the governing price — which means the entire surplus profit from the first, more productive capital investments has been used up in forming the average profit.

Kap. 43
The Minimum Limit: Rent Vanishes, Price Unchanged
The reader arrives knowing that additional capital on better land can raise, leave level, or lower rent, depending on its surplus productivity, and that this movement is relative to the capital advanced, not a simple direction. What Marx settles now is the limit of that fall. Rent per acre may begin to fall with the first additional capital of deficient productivity, but it does not vanish then; the disappearance comes at a later point, and the further question is whether the governing production price moves when it comes. Those answers belong to the argument below.
The minimum limit to the fall in the rent per acre is the point at which this disappears. But this point is not reached as soon as the extra capital investments produce with deficient productivity, but only when the extra investment of deficiently productive portions of capital becomes so great that its effect cancels out the surplus productivity of the first capital investments, so that the productivity of the total capital invested comes to be equal to that of the capital on A and hence the individual average price per quarter on B equal to that on A.
rent's floor: where it vanishes

The rent per acre can fall, but it has a floor: the point where it disappears. That point is not reached as soon as extra capital put into the land starts producing with deficient productivity. It comes only when the deficiently productive part of that extra capital grows so large that its effect cancels out the surplus productivity of the first investments, the whole capital invested becomes as productive as the capital on A, and the individual average price per quarter on B therefore equals the price per quarter on A.

Even in this case, the governing price of production, £3 per qr, remains the same, although the rent has vanished. It is only beyond this point that the production price would have to rise, as the result of an increase either in the degree of deficient productivity of the surplus capital, or in the amount of extra capital of the same deficient productivity. If in the table on p. 865, for example, 2 1/2 qrs were produced at £4 per qr on the same land instead of 1 1/2 qrs, we would have altogether 7 qrs for a production cost of £22; the cost would now be £3 1/7 per qr; i.e. £1/7 higher than the general production price, which would have to rise.
£3 holds through the vanishing point

Even then, the governing price of production would remain the same — £3 per quarter — although the rent would have vanished. Only past that point would the production price have to rise, because of an increase either in the degree of deficient productivity of the extra capital, or in the amount of extra capital at the same deficient productivity. Suppose, for instance, that in the table above 2 1/2 quarters were produced at £4 per quarter on the same soil instead of 1 1/2: we would then have 7 quarters in all for £22 in production costs. A quarter would cost £3 1/7, so it would stand 1/7 above the general production price, which would then have to rise.

Thus extra capital with deficient productivity, and even capital with increasingly deficient productivity, could still be applied for a long while before the individual average price per quarter on the best lands became equal to the general price of production, i.e. before the excess of the latter over the former, and hence surplus profit and rent, completely disappeared.
underproductive extra capital can run for long

So extra capital could go on being applied with deficient productivity — and even with productivity falling further and further — for a long time, until the individual average price per quarter on the best lands came to equal the general production price, and until the excess of the latter over the former, and with it surplus profit and rent, had completely disappeared.

Even in this case, moreover, the disappearance of rent on the better types of land would mean only that the individual production price of the product from these better types would coincide with the general price of production; no rise in this general price would yet be required.
no price rise at rent's extinction

And even in that case, when rent on the better types of soil is wiped out, the individual average price of their product would only then coincide with the general production price; so no rise in that general price would yet be required.

In the above example, taking the better land B, which however is lowest in the series of better or rent-bearing land types, 3 1/2 qrs was produced by a capital of £5 with surplus productivity and 2 1/2 qrs by a capital of £10 with deficient productivity, making a total of 6 qrs, i.e. five-twelfths of the total was produced by the latter portions of capital that are invested at deficient productivity. And it is only at this point that the individual average production price of the 6 qrs rises to £3 per qr, coinciding therefore with the general production price.
B's quantities at the threshold

In the example above, on the better soil B — which is still the lowest in the series of better, rent-bearing types of soil — 3 1/2 quarters were produced by a capital of £5 with surplus productivity, and 2 1/2 quarters by a capital of £10 with deficient productivity. That is 6 quarters in all, so 5/12 of them came from the portions of capital applied with deficient productivity. And only at this point does the individual average production price of the 6 quarters rise to £3 per quarter, coinciding with the general production price.

Kap. 43
Landed Property: Artificial Barrier, Earlier Price Rise
The reader arrives with an averaging: successive capital investments on one acre were treated as fusing into a single individual production price, and a run of less productive investments could reduce the surplus profit without abolishing it, while the governing price stayed unchanged. The law of landed property withdraws that permission. Once the farmer owes a fixed rent on the first investments, the later shortfalls cannot be set against the earlier surplus, because that surplus has gone to the landowner. Marx settles the barrier this creates: the limit is capital producing only at the general production price, the price must rise if more is needed, and differential rent's formal character must be held beside its real effect on the price rise's timing.
Under the law of landed property, however, the latter 2 1/2 qrs could not have been produced in this manner at £3 per qr, except in the case where it could be produced on 2 1/2 new acres of type A land. The case in which the extra capital only produces at the general price of production would have imposed a limit. Beyond this, extra capital investment on the same land would have to cease.
the limit landed property sets

But under the law of landed property, those last 2 1/2 qrs could not have been produced that way at £3 a quarter. The one exception would be if they could be produced on 2 1/2 new acres of type A land. A capital investment that produced only at the general production price would have set the limit; past that point, any further capital put into the same land would have had to stop.

If the farmer has to pay, say, £4 1/2 rent for the first two capital investments, he must continue to pay it, and any capital investment that needs more than £3 to produce a quarter would involve a deduction from his profit. In the case of deficient productivity, therefore, equalization of the individual average price is thereby prevented.
the fixed rent blocks averaging

Once the farmer owes £4 1/2 in rent for the first two capital investments, he has to keep paying it. And any further capital investment that produces its quarter less productively would take part of his profit out of his pocket. What blocks the individual average price from being evened out is that fixed rent he must go on paying, and it does so when productivity falls short.

Let us take this case in connection with the previous example, where the production price of £3 per qr on land A governs the price for B.
applying the limit to the example

Let us take this case in the earlier example, where £3 per qr, the production price on land A, is what governs the price for B.

Capital (£) Profit (£) Price of production (£) Output (qrs) Price of production per qr (£) Selling price Surplus profit (£) Loss (£)
per qr (£) total (£)
2 1/2 1/2 3 2 1 1/2 3 6 3 -
2 1/2 1/2 3 1 1/2 2 3 4 1/2 1 1/2 -
5 1 6 1 1/2 4 3 4 1/2 - 1 1/2
5 1 6 1 6 3 3 - 3
15 3 18 18 4 1/2 4 1/2
Capital (£) Profit (£) Price of production (£) Output (qrs) Price of production per qr (£) Selling price Surplus profit (£) Loss (£)
per qr (£) total (£)
2 1/2 1/2 3 2 1 1/2 3 6 3 -
2 1/2 1/2 3 1 1/2 2 3 4 1/2 1 1/2 -
5 1 6 1 1/2 4 3 4 1/2 - 1 1/2
5 1 6 1 6 3 3 - 3
15 3 18 18 4 1/2 4 1/2
The production costs of the 3 1/2 qrs from the first two capital investments are similarly £3 per qr for the farmer, since he has to pay a rent of £4 1/2, so that the difference between his individual production price and the general production price does not flow into his pocket. For him, therefore, the surplus in the price of the product of the first two capital investments cannot serve to balance the deficit suffered on the products of the third and fourth capital investments.
why the surplus cannot offset

For the farmer, the production costs of the 3 1/2 qrs from the first two capital investments also come to £3 a quarter. That is because he owes £4 1/2 in rent: the difference between his own production price and the general production price does not go into his pocket. So for him the surplus in the price of what the first two investments produce cannot be used to make up the shortfall on what the third and fourth investments produce.

The 1 1/2 qrs from capital investment (3) cost the farmer £6, profit included; but he can only sell for £4 1/2, taking the governing price at £3 per qr. Thus he would lose not only the entire profit, but £1/2 or 10 per cent of his invested capital of £5 into the bargain. His loss in profit and capital for the third investment would come to £1 1/2, and for the fourth investment £3, together making £4 1/2, exactly as much as the rent for the better capital investments - whose individual production price, however, cannot go into the individual average production price of B’s total product as a compensating factor, since this surplus is paid out to a third party as rent.
the loss equals the rent

The 1 1/2 qrs from capital investment (3) cost the farmer £6, profit included; but at the £3 a quarter that governs the market he can sell them for only £4 1/2. So he would lose his whole profit and £1/2 on top of that — 10 per cent of the £5 of capital he put in. His loss of profit and capital would be £1 1/2 on the third investment and £3 on the fourth, making £4 1/2 in all — exactly what the rent on the better capital investments comes to. And the individual production price of those better investments cannot go into the individual average production price of B's whole product as a balancing item, because their surplus is paid away as rent to a third party.

If it were necessary for the third capital investment to produce its extra 1 1/2 qrs in order to meet the demand, the governing market price would have to rise to £4 per qr. As a result of this increase in the governing market price, the rent on B would rise for the first and second capital investment, and a rent would be formed on A.
when the extra output is needed

If the need were there for the extra 1 1/2 qrs to be produced by the third capital investment, the governing market price would have to rise to £4 a quarter. That rise would push up B's rent on the first and second capital investments, and a rent would form on A.

Thus even though the differential rent is only a formal transformation of surplus profit into rent, and in this case landed property simply enables the landowner to transfer the farmer’s surplus profit to himself, it transpires that the successive investment of capital on the same stretch of land, or, what comes to the same thing, the increase in the capital invested on the same land, tends rather to find its limit in this transference, given a declining rate of productivity on capital and a constant governing price; in fact it comes up against a more or less artificial barrier, a result of the merely formal transformation of surplus profit into ground-rent which is the consequence of landed property. The rise in the general price of production which becomes necessary here, where the limit is narrower than elsewhere, is in this case therefore not only the basis for the rise in the differential rent, but the existence of differential rent as rent is at the same time the basis for the earlier and more rapid rise in the general price of production in order thereby to guarantee the increased supply of the product that has become necessary.
formal transformation, real barrier

So although differential rent is nothing but the formal transformation of surplus profit into rent — landed property here only enables the owner to shift the farmer's surplus profit over to himself — it still turns out that piling capital onto the same stretch of land, which is the same thing as increasing the capital invested there, finds its limit much sooner when the productivity of capital is falling and the governing price stays the same. In fact it runs into a more or less artificial barrier, and that barrier comes from the merely formal transformation of surplus profit into ground-rent, which is what landed property brings about. The rise in the general production price, which becomes necessary here at a narrower limit than would otherwise be needed, is therefore not just the reason the differential rent rises: the existence of differential rent as rent is at the same time a reason the general production price rises earlier and faster, so as to secure, in that way, the supply of the increased product that has become necessary.

The following should also be noted.
one more point to note

There is a further point to note:

The governing price could not rise to £4, as above, thanks to the extra capital on land B, if land A were to supply the extra product for less than £4, or if newer and poorer land than A came into competition, with a price of production that was above £3 but below £4. We thus see how differential rent I and differential rent II, while the first is the basis of the second, at the same time place limits on one another, leading sometimes to successive investments of capital on the same stretch of land and sometimes to adjacent investments of capital on new additional land. They have a similar effect as limits to one another in other cases, for example where better land is taken up.
the two rents limit each other

The governing price could not, as in the case above, rise to £4 through extra capital on land B, if land A were to supply the extra product from a second capital investment for under £4, or if newer, worse land than A came into competition, land whose production price would be above £3 but under £4. So one sees how differential rent I and differential rent II, while the first is the basis of the second, at the same time set limits to each other, and this mutual limiting is what makes capital go at one time in successive investments onto the same stretch of land, at another time side by side onto new additional land. They limit each other in other cases too, for example where better land comes into use.