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Kap. 41
Fälle I und II: Wirkung null, dann proportionell
The reader arrives carrying the first form of differential rent: equal capitals laid out side by side on unequal soils, the worst of them governing the price. What is new is capital applied one after another on the same ground, in whatever proportion, on one soil or several. What is settled here is what happens to rent when the governing price does not move at all — nothing whatever where the added capital is no better than the worst soil, and a rise exactly in step with the capital where each soil's product grows in proportion. It is also settled what the added capital is not: not a more fruitful application, only more of it with the same success as before.
Diese Voraussetzung schließt ein, daß der Marktpreis nach wie vor durch das auf dem schlechtesten Boden A angelegte Kapital reguliert wird.
The premise: the price stays fixed

The premise of this case carries a further point with it: the market price is still governed by whatever capital is invested on the worst land, A.

I. Wenn das auf irgendeiner der Rente tragenden Bodenarten B, C, D angelegte zuschüssige Kapital nur soviel produziert wie dasselbe Kapital auf Boden A, d.h. wenn es zum regulierenden Produktionspreis nur den Durchschnittsprofit abwirft, also keinen Surplusprofit, so ist die Wirkung auf die Rente gleich Null. Es bleibt alles beim alten. Es ist dasselbe, als wenn eine beliebige Zahl Acres von der Qualität A, des schlechtesten Bodens, der bisher bebauten Fläche zugesetzt wäre.
Case I: effect on rent nil

I. Suppose extra capital is put into any of the rent-bearing types of land B, C or D. If it produces only as much as the same capital would produce on land A — that is, if at the governing price of production it brings in only the average profit and so no surplus profit — then the effect on rent is exactly zero. Everything stays as it was.

It comes to the same thing as if any number of acres of quality A, the worst land, had been added to the area cultivated so far.

II. Die zusätzlichen Kapitale bringen auf jeder verschiednen Bodenart ihrer Größe proportionelle, zuschüssige Produkte hervor; d.h. die Größe der Produktion wächst, je nach der spezifischen Fruchtbarkeit jeder Bodenart, proportionell zur Größe des zuschüssigen Kapitals. Wir gingen in Kapitel XXXIX aus von der folgenden Tabelle I:
Case II: extra product in proportion

II. On each type of land, the extra capitals yield extra products in proportion to their size — the scale of production grows, in line with the specific fertility of each type of land, in step with the size of the extra capital. In Chapter 39 we started out from Table I, the first table below:

Bodenart Kapital Profit Produktionskosten Produkt Verkaufspreis Ertrag Rente Rate des Surplusprofits
Acres Pfd.St. Pfd.St. Pfd.St. qrs. Pfd.St. Pfd.St. qrs. Pfd.St.
A 1 2 1/2 1/2 3 1 3 3 0 0 0%
B 1 2 1/2 1/2 3 2 3 6 1 3 120%
C 1 2 1/2 1/2 3 3 3 9 2 6 240%
D 1 2 1/2 1/2 3 4 3 12 3 9 360%
Total 4 10 12 10 30 6 18
Type of land Acres Capital (£) Profit (£) Price of prod. (£) Output (qrs) Selling price (£) Proceeds (£) Rent Rate of surplus profit
qrs £
A 1 2 1/2 1/2 3 1 3 3 0 0 0
B 1 2 1/2 1/2 3 2 3 6 1 3 120%
C 1 2 1/2 1/2 3 3 3 9 2 6 240%
D 1 2 1/2 1/2 3 4 3 12 3 9 360%
Total 4 10 12 10 30 6 18
Diese verwandelt sich jetzt in:
Table I becomes Table II

Table I now turns into Table II:

Tabelle II
Bodenart Kapital Profit Produktionskosten Produkt Verkaufspreis Ertrag Rente Rate des Surplusprofits
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 2 3 6 0 0 0%
B 1 2 1/2 +2 1/2 =5 1 6 4 3 12 2 6 120%
C 1 2 1/2 +2 1/2 =5 1 6 6 3 18 4 12 240%
D 1 2 1/2 +2 1/2 =5 1 6 8 3 24 6 18 360%
4 20 20 60 12 36
Table II
Type of land Acres Capital (£) Profit (£) Price of prod. (£) Output (qrs) Selling price (£) Proceeds (£) Rent Rate of surplus profit
qrs £
A 1 2 1/2 + 2 1/2 = 5 1 6 2 3 6 0 0 0
B 1 2 1/2 + 2 1/2 = 5 1 6 4 3 12 2 6 120%
C 1 2 1/2 + 2 1/2 = 5 1 6 6 3 18 4 12 240%
D 1 2 1/2 + 2 1/2 = 5 1 6 8 3 24 6 18 360%
4 20 20 60 12 36
Es ist hier nicht nötig, daß, wie in der Tabelle, die Kapitalanlage sich auf allen Bodenarten verdoppelt. Das Gesetz ist dasselbe, sobald nur auf irgendeiner oder mehreren der Rente tragenden Bodenarten zuschüssiges Kapital angewandt wird, gleichviel in welcher Proportion. Was nötig ist, ist nur, daß auf jeder Bodenart die Produktion sich im selben Verhältnis vermehrt wie das Kapital. Die Rente steigt hier bloß infolge vermehrter Kapitalanlage auf den Boden und im Verhältnis zu dieser Kapitalvermehrung. Diese Vermehrung des Produkts und der Rente infolge von und proportionell zu vermehrter Kapitalanlage ist, was Quantum des Produkts und der Rente angeht, ganz dasselbe, als wenn die bebaute Fläche der Rente tragenden Ländereien gleicher Bonität sich vermehrt hätte und mit gleicher Kapitalanlage, wie früher auf denselben Bodenarten, der Kultur unterworfen wäre. Im Fall von Tabelle II z.B. bliebe das Resultat dasselbe, wenn das zuschüssige Kapital von 2 1/2 Pfd.St. per Acre auf je einen zweiten Acre von B, C und D angelegt wäre.
Rent rises only from more capital

Nothing here requires the capital invested in every type of land to double, as it does in the table. The law is the same whenever extra capital is put into one or more of the rent-bearing lands, in whatever proportion. All it needs is that on each type of land production grows in the same ratio as the capital applied to it.

Rent rises here only because more capital has been put into the land, and in proportion to that increase of capital. As far as the amount of product and the amount of rent go, this growth of product and rent — coming from the bigger capital and proportional to it — is exactly the same as if more rent-bearing land of the same quality had come under cultivation and had been worked with the same capital as those lands were worked with earlier. Table II gives an example: the result would come out unchanged if the extra £2 1/2 per acre had been laid out on a second acre apiece of B, C and D.

Diese Annahme unterstellt ferner keine fruchtbarere Anwendung des Kapitals, sondern nur Anwendung von mehr Kapital auf derselben Fläche mit demselben Erfolg wie bisher.
More capital, not better capital

This assumption also supposes nothing more fruitful about how the capital is applied. What it supposes is more capital on the same area, achieving the same result as before.

Es bleiben hier alle proportionellen Verhältnisse dieselben. Allerdings, wenn man nicht die proportionellen Differenzen, sondern die rein arithmetischen betrachtet, kann sich die Differentialrente auf den verschiednen Bodenarten verändern. Nehmen wir z.B. an, das zuschüssige Kapital sei nur auf B und D angelegt worden. So ist dann der Unterschied von D und A = 7 qrs., früher = 3; der von B und A = 3 qrs., früher = 1; der von C und B = - 1, früher = + 1 usw. Aber diese arithmetische Differenz, die entscheidend ist bei der Differentialrente I, soweit sich in ihr der Unterschied in der Produktivität bei gleicher Kapitalanlage ausdrückt, ist hier völlig gleichgültig, weil sie nur Folge verschiedner Mehranlage oder Nicht-Mehranlage von Kapital ist, bei gleichbleibender Differenz für jeden gleichen Kapitalteil auf die verschiednen Ländereien.
Arithmetical differences are immaterial here

Here all the proportionate ratios stay the same. It is true that the differential rent on the different types of land can change, if we look not at the proportionate differences but at the plain arithmetical ones. Suppose, for instance, that the extra capital had been put only into B and D. Then the difference between D and A is 7 qrs, against 3 before; between B and A, 3 qrs where there used to be 1; between C and B, minus 1 where there used to be plus 1, and so on.

But this arithmetical difference, the one that is decisive under differential rent I in so far as it expresses a difference in productivity at an equal capital investment, is here quite immaterial. It follows only from differing amounts of extra capital, or none at all, and not from anything about the soils themselves, while the difference for each equal slice of capital on the different lands stays the same.

Kap. 41
Sinkende Rate, wachsende Masse der Rente
The reader arrives carrying the result of the case just worked: capital no better than the rentless soil changes nothing, and capital that is proportionally productive raises rent in proportion to itself. What is left unsettled is the interesting middle — capital that still yields surplus profit, but less than what went before. Marx settles it: the extra capital keeps forming surplus profit, only at a declining rate, so rent on every rent-bearing soil grows absolutely while the rate of surplus profit falls, whether reckoned on the extra capital or on the whole capital laid on the soil. That falling rate is not to be read as falling rent.
III. Die zuschüssigen Kapitale bringen überschüssiges Produkt hervor und bilden daher Surplusprofite, aber mit abnehmender Rate, nicht im Verhältnis zu ihrer Vergrößerung.
Case three: surplus profit, falling rate

Third case. The extra capitals still bring out an extra product, and so they do form surplus profits — but at a falling rate, and not in proportion to how much they have grown.

Tabelle III
Bodenart Kapital Profit Produktionskosten Produkt Verkaufspreis Ertrag Rente Rate des Surplusprofits
Acres Pfd.St. Pfd.St. Pfd.St. qrs. Pfd.St. Pfd.St. qrs. Pfd.St.
A 1 2 1/2 1/2 3 1 3 3 0 0 0%
B 1 2 1/2 + 2 1/2 = 5 1 6 2+1 1/2 =3 1/2 3 10 1/2 1 1/2 4 1/2 90%
C 1 2 1/2 + 2 1/2 = 5 1 6 3+2=5 3 15 3 9 180%
D 1 2 1/2 + 2 1/2 = 5 1 6 4+3 1/2 =7 1/2 3 22 1/2 5 1/2 16 1/2 330%
Total 4 17 1/2 21 17 51 10 30
Table III
Type of land Acres Capital (£) Profit (£) Price of prod. (£) Output (qrs) Selling price (£) Proceeds (£) Rent Rate of surplus profit
qrs £
A 1 2 1/2 1/2 3 1 3 3 0 0 0
B 1 2 1/2 + 2 1/2 = 5 1 6 2 + 1 1/2 = 3 1/2 3 10 1/2 1 1/2 4 1/2 90%
C 1 2 1/2 + 2 1/2 = 5 1 6 3 + 2 = 5 3 15 3 9 180%
D 1 2 1/2 + 2 1/2 = 5 1 6 4 + 3 1/2 = 7 1/2 3 22 1/2 5 1/2 16 1/2 330%
17 1/2 3 1/2 21 17 51 10 30
Es ist bei dieser dritten Annahme wieder gleichgültig, ob die zuschüssigen zweiten Kapitalanlagen gleichmäßig oder ungleichmäßig auf die verschiednen Bodenarten fallen oder nicht; ob die abnehmende Produktion von Surplusprofit in gleichen oder ungleichen Verhältnissen vor sich geht; ob die zusätzlichen Kapitalanlagen alle auf dieselbe, Rente tragende, Bodenart fallen oder ob sie sich verteilen, gleichmäßig oder ungleichmäßig, auf Rente tragenden Boden verschiedner Bonität. Alle diese Umstände sind für das zu entwickelnde Gesetz gleichgültig. Die einzige Voraussetzung ist, daß zuschüssige Kapitalanlagen auf irgendeiner der Rente tragenden Bodenarten Surplusprofit abwerfen, aber in abnehmender Proportion zum Maß der Kapitalvermehrung. Die Grenzen dieser Abnahme bewegen sich in den Beispielen der vorliegenden Tabelle zwischen 4 qrs. = 12 Pfd.St., dem Produkt der ersten Kapitalanlage auf den besten Boden D, und 1 qr. = 3 Pfd.St., dem Produkt derselben Kapitalanlage auf den schlechtesten Boden A. Das Produkt des besten Bodens bei Anlage von Kapital I bildet die Maximalgrenze und das Produkt des nicht Rente tragenden, keinen Surplusprofit gebenden schlechtesten Bodens A, bei gleicher Kapitalanlage, die Minimalgrenze des Produkts, welches die sukzessiven Kapitalanlagen auf irgendeinem der Surplusprofit abwerfenden Bodenarten bei abnehmender Produktivität sukzessiver Kapitalanlagen abwerfen. Wie die Annahme II dem entspricht, daß von den bessern Bodenarten neue Stücke gleicher Qualität der bebauten Fläche zugefügt werden, daß die Quantität irgendeiner der kultivierten Bodenarten sich vermehrt, so entspricht die Annahme III dem, daß zusätzliche Bodenstücke bebaut werden, deren verschiedne Grade von Fruchtbarkeit sich verteilen zwischen D und A, zwischen denen des besten und denen des schlechtesten Bodens. Finden die sukzessiven Kapitalanlagen ausschließlich auf dem Boden D statt, so können sie die existierenden Differenzen zwischen D und A einbegreifen, ferner Differenzen zwischen D und C, ebenso wie zwischen D und B. Finden sie alle auf Boden C statt, so nur Differenzen zwischen C und A resp. B; wenn auf B, nur Differenzen zwischen B und A.
Where the extra capital lands

Once more, with this third assumption, it does not matter whether the second round of extra capital is spread over the different land types uniformly or not; whether the declining production of surplus profit keeps even proportions or uneven ones; whether the additional capital all lands on one and the same rent-bearing land type, or gets split, evenly or unevenly, over rent-bearing soil of differing quality. For the law that is to be worked out here, none of this counts. The single premise is this: extra capital put into any of the rent-bearing land types brings in surplus profit, but the amount it brings in falls as a proportion of each further addition to capital. In the examples of the table in front of us, the edges of that fall run from 4 qrs = £12, which is what the first capital investment yields on the best land D, to 1 qr = £3, which is what the same capital investment yields on the worst land A. With the capital investment the same: what the best land yields when capital I is invested sets the top limit, and what the worst land A yields — land that carries no rent and gives no surplus profit — sets the bottom limit of what successive capital investments bring in on any land type that yields surplus profit, once successive investments are losing productivity. Assumption II matches the case where new plots of the same quality are added to the area under cultivation, so that the quantity of some cultivated land type grows; assumption III matches, in the same way, the case where further plots are tilled whose differing degrees of fertility are spread out between D and A, between the best soil and the worst. If the successive capital investments go onto land D alone, they can take in the gaps that already exist: D against A, D against C, D against B. If they all go onto land C, then only the gaps between C and A and, respectively, C and B; if onto B, only the gap between B and A.

Das Gesetz aber ist: daß die Rente auf allen diesen Bodenarten absolut wächst, wenn auch nicht im Verhältnis zum zuschüssig angelegten Kapital.
Rent grows absolutely, not proportionally

But the law is this: the rent on every one of these types of land grows absolutely, even if not in proportion to the extra capital invested.

Die Rate des Surplusprofits, sowohl das zuschüssige Kapital wie das gesamte auf den Boden angelegte Kapital betrachtet, nimmt ab; aber die absolute Größe des Surplusprofits nimmt zu; ganz wie die abnehmende Profitrate des Kapitals überhaupt meist mit zunehmender absoluter Masse des Profits verbunden ist. So ist der Durchschnitts-Surplusprofit der Kapitalanlage auf B = 90% aufs Kapital, während er bei der ersten Kapitalanlage = 120% war. Aber der gesamte Surplusprofit nimmt zu, von 1 qr. auf 1 1/2 qr. und von 3 Pfd.St. auf 4 1/2. Die Gesamtrente für sich betrachtet - und nicht mit Bezug auf die verdoppelte Größe des vorgeschoßnen Kapitals - ist absolut gestiegen. Die Differenzen der Renten der verschiednen Bodenarten und ihr Verhältnis zueinander mögen hier wechseln; aber dieser Wechsel in der Differenz ist hier Folge, nicht Ursache der Vermehrung der Renten gegeneinander.
Rate falls, mass rises

The rate of surplus profit falls — take the extra capital by itself, or take the whole capital laid out on the land, it falls either way — but the absolute size of the surplus profit rises; just as the falling rate of profit on capital in general is usually combined with a growing absolute mass of profit. On B, for instance, the average surplus profit on the capital invested is 90 per cent, where the first capital investment gave 120 per cent. The total surplus profit, though, grows, from 1 qr to 1 1/2 qrs and from £3 to £4 1/2. The total rent, taken by itself — and not set against the doubled size of the capital advanced — has risen absolutely. The differences between the rents of the different types of land, and the relation of those rents to one another, may change here; but this change in the differences is the consequence of the rents rising against one another, not its cause.

Kap. 41
Größeres Produkt, freigesetztes Kapital
The reader arrives from a case in which added capital still raises the absolute mass of rent while the rate of surplus profit falls; the governing production price stayed fixed. What is settled is what happens when the added capital outproduces the original outlay. Rent per acre rises faster than the addition, but the same cost per unit can conceal three different situations: capital set free; additional capital spared where doubled production would be needed; or the advance forced to grow, though less than the old productivity would require. This release is in itself an increase in wealth. It then turns to the capitalist standpoint, where lower cost price, not higher surplus value, governs, and to the petty producer whose own accounts make a sale below value look like profit.
IV. Der Fall, wo die zuschüssigen Kapitalanlagen auf den bessern Bodenarten ein größeres Produkt erzeugen als die ursprünglichen, verlangt keine weitre Analyse. Es versteht sich von selbst, daß unter dieser Voraussetzung die Renten per Acre steigen, und in größerm Verhältnis als das zuschüssige Kapital, auf welcher Bodenart immer seine Anlage stattgefunden hat. In diesem Fall ist die zuschüssige Kapitalanlage mit Verbesserung verbunden. Es ist hierin eingeschlossen, wenn ein Zuschuß von weniger Kapital dieselbe oder größre Wirkung produziert als früher Zuschuß von mehr Kapital. Dieser Fall ist nicht ganz identisch mit dem frühern, und es ist dies ein Unterschied, der bei allen Kapitalanlagen wichtig ist. Wenn z.B. 100 einen Profit von 10 gibt und 200, in einer bestimmten Form angewandt, einen Profit von 40, so ist der Profit von 10% auf 20% gestiegen, und insoweit ist dies dasselbe, als wenn 50, in einer wirksamem Form angewandt, einen Profit von 10 statt 5 gibt. Wir unterstellen hier, daß der Profit mit proportioneller Vermehrung des Produkts verbunden ist. Aber der Unterschied ist, daß ich in dem einen Fall das Kapital verdoppeln muß, dagegen in dem andern mit dem bisherigen Kapital den doppelten Effekt hervorbringe. Es ist durchaus nicht dasselbe, ob ich 1. mit halb soviel lebendiger und vergegenständlichter Arbeit dasselbe Produkt wie früher, oder 2. mit derselben Arbeit das doppelte Produkt gegen früher, oder 3. mit der doppelten Arbeit das vierfache Produkt gegen früher hervorbringe. Im ersten Fall wird Arbeit - in lebendiger oder vergegenständlichter Form - frei, die anderswie verwandt werden kann; das Dispositionsvermögen über Arbeit und Kapital wächst. Die Freisetzung von Kapital (und Arbeit) ist an sich eine Vermehrung des Reichtums; sie hat ganz denselben Effekt, als ob dies zuschüssige Kapital durch Akkumulation erzielt worden sei, spart aber die Arbeit der Akkumulation.
the fourth case: rent rises faster

IV. Extra capital invested on the better types of land, producing a greater product than the original investment did: this case needs no further analysis. On that assumption it goes without saying that rents per acre rise, and rise in a higher ratio than the extra capital, whatever the type of land the investment is made on. In this case the extra capital investment is bound up with an improvement. It also covers the case where a smaller addition of capital produces the same or a greater effect than an earlier, larger addition did. That case is not quite identical with the earlier one, and the difference matters for every capital investment.

Take an example. If 100 yields a profit of 10, and 200, applied in a particular form, yields a profit of 40, then profit has risen from 10 per cent to 20 per cent, and to that extent it is the same as if 50, applied in a more effective form, yielded a profit of 10 instead of 5. We assume here that profit goes together with a proportionate increase in the product. But the difference is this: in the one case I have to double the capital, in the other I bring about the doubled effect with the capital I already have.

It is by no means the same thing whether (1) I turn out the same product as before with half as much living and objectified labour, (2) I turn out twice the previous product with the same labour, or (3) I turn out four times the previous product with twice the labour. In the first case labour is set free, in living or in objectified form, and can be used elsewhere; the power of disposal over labour and capital grows. The release of capital (and labour) is in itself an increase in wealth; it has exactly the same effect as if this extra capital had been obtained by accumulation, but it spares the labour of accumulation.

Gesetzt, ein Kapital von 100 habe ein Produkt von 10 Meter produziert. In den 100 sei sowohl konstantes Kapital als lebendige Arbeit und Profit eingeschlossen. So kostet der Meter 10. Kann ich mit demselben Kapital von 100 jetzt 20 Meter produzieren, so kostet der Meter 5. Kann ich dagegen mit 50 Kapital 10 Meter produzieren, so kostet der Meter auch 5, und es wird ein Kapital von 50 freigesetzt, soweit die alte Warenzufuhr genügt. Muß ich 200 Kapital anlegen, um 40 Meter zu produzieren, so kostet der Meter ebenfalls 5. Die Wert- oder auch Preisbestimmung läßt hier keinen Unterschied erkennen, ebensowenig wie die dem Kapitalvorschuß proportionelle Produktenmasse. Aber im ersten Fall wird Kapital freigesetzt; im zweiten Fall wird zuschüssiges Kapital erspart, soweit etwa doppelte Produktion nötig wäre; im dritten Fall kann das vermehrte Produkt nur erhalten werden, indem das vorgeschoßne Kapital wächst, obgleich nicht in demselben Verhältnis, wie wenn das vermehrte Produkt von der alten Produktivkraft hätte geliefert werden sollen. (Gehört in Abschnitt I.)
three routes to five per metre

Suppose a capital of 100 has produced a product of 10 metres of cloth. Those 100 include constant capital as well as living labour and profit. So a metre costs 10. If I can now produce 20 metres with the same capital of 100, a metre costs 5. If instead I can produce 10 metres with a capital of 50, a metre costs 5 as well, and a capital of 50 is set free, in so far as the old supply of goods is enough. If I have to lay out a capital of 200 in order to produce 40 metres, a metre likewise costs 5.

In these three cases the determination of value, or of price, reveals no difference, and neither does the mass of product in proportion to the capital advanced. But in the first case capital is set free; in the second case extra capital is spared, in so far as twice the production would be needed; in the third case the increased product can be obtained only if the capital advanced grows, though not in the same proportion as if the increased product had had to be supplied at the old productive power. (This belongs in Part One.)

Vom Standpunkt der kapitalistischen Produktion aus betrachtet, nicht mit Rücksicht auf Steigerung des Mehrwerts, sondern auf Senkung des Kostpreises - und Ersparung der Kosten auch im Mehrwert bildenden Element, der Arbeit, tut dem Kapitalisten diesen Dienst und bildet Profit für ihn, solange der regulierende Produktionspreis derselbe bleibt - ist die Anwendung von konstantem Kapital stets wohlfeiler als die von variablem. Es setzt dies in der Tat die der kapitalistischen Produktionsweise entsprechende Kreditentwicklung und Reichlichkeit von Leihkapital voraus. Auf der einen Seite wende ich 100 Pfd.St. zusätzliches konstantes Kapital an, wenn 100 Pfd.St. das Produkt von 5 Arbeitern während des Jahrs; auf der andern 100 Pfd.St. in variablem Kapital. Ist die Rate des Mehrwerts = 100%, so der Wert, den die 5 Arbeiter geschaffen haben = 200 Pfd.St.; dagegen der Wert von 100 Pfd.St. konstantem Kapital ist = 100 Pfd.St. und als Kapital vielleicht = 105 Pfd.St., wenn der Zinsfuß = 5%. Dieselben Geldsummen, je nachdem sie der Produktion vorgeschossen werden als Wertgrößen von konstantem oder von variablem Kapital, drücken sehr verschiedne Werte aus, in ihrem Produkt betrachtet. Was ferner die Kosten der Waren vom Standpunkt des Kapitalisten angeht, findet noch der Unterschied statt, daß von den 100 Pfd.St. konstantes Kapital, soweit dies in fixem Kapital angelegt, nur der Verschleiß in den Wert der Ware eingeht, während die 100 Pfd.St. für Arbeitslohn ganz darin reproduziert sein müssen.
Constant capital cheaper — from that standpoint

Looked at from the standpoint of capitalist production, the aim is not a larger surplus-value but a lower cost price. A saving in costs on the element that forms surplus-value too, labour, does the capitalist the same service, and brings him profit as well, so long as the governing production price holds steady. Seen that way, constant capital is always the cheaper thing to employ. What this does assume, in fact, is the credit system and the plenty of loan capital that belong with the capitalist way of producing.

Take one side: I put an extra £100 of constant capital to work, and this £100 is what five workers turn out over the year. Take the other side: £100 laid out in variable capital. With the rate of surplus-value at 100 per cent, the value those five workers have made comes to £200, while £100 of constant capital is worth £100, and as capital perhaps £105, given a rate of interest of 5 per cent. So the same sums of money, once you look at what they produce, stand for very different values, depending on whether they are advanced to production as magnitudes of constant capital or of variable capital.

There is one further difference, again as the capitalist sees things, in what a commodity costs him. With that £100 of constant capital, where it is laid out in fixed capital, nothing but the wear and tear finds its way into the commodity's value, while the £100 paid out in wages has to be reproduced there in full.

Bei Kolonisten und überhaupt selbständigen Kleinproduzenten, die über Kapital gar nicht oder nur zu hohen Zinsen verfügen können, ist der Produktenteil, der den Arbeitslohn vertritt, ihre Revenue, während er für den Kapitalisten Kapitalvorschuß ist. Jener betrachtet diese Arbeitsauslage daher als unumgängliche Vorbedingung für den Arbeitsertrag, um den es sich zunächst handelt. Was aber seine überschüssige Arbeit betrifft, nach Abzug jener notwendigen Arbeit, so realisiert sie sich jedenfalls in einem überschüssigen Produkt; und sobald er dies verkaufen oder auch selbst verwenden kann, betrachtet er dies als etwas, was ihm nichts gekostet hat, weil keine vergegenständlichte Arbeit. Es ist diese allein, deren Verausgabung ihm als Veräußerung von Reichtum gilt. Er sucht natürlich so hoch zu verkaufen als möglich; aber selbst der Verkauf unter dem Wert und unter dem kapitalistischen Produktionspreis gilt ihm immer noch als Profit, soweit dieser Profit nicht durch Verschuldung, Hypothek usw. antizipiert ist. Für den Kapitalisten dagegen ist sowohl die Auslage von variablem wie konstantem Kapital Vorschuß von Kapital. Der relativ größre Vorschuß des letztern verringert unter sonst gleichbleibenden Umständen den Kostpreis, wie wirklich auch den Wert der Waren. Obgleich daher der Profit bloß aus der Mehrarbeit, also bloß aus der Anwendung von variablem Kapital entspringt, kann es dem einzelnen Kapitalisten doch so scheinen, daß die lebendige Arbeit das kostspieligste und am meisten aufs Minimum zu reduzierende Element seiner Produktionskosten ist. Es ist dies nur eine kapitalistisch verdrehte Form des Richtigen, daß die verhältnismäßig größre Anwendung vergangner Arbeit, verglichen mit lebendiger, gesteigerte Produktivität der gesellschaftlichen Arbeit und größren gesellschaftlichen Reichtum bedeutet. So falsch ist alles und so, auf den Kopf gestellt, bietet sich alles dar vom Standpunkt der Konkurrenz. -
the colonist's books, the capitalist's inversion

With colonists, and with independent small producers generally, who cannot lay hands on capital at all, or only at high rates of interest, the part of the product that stands for wages is their revenue, whereas for the capitalist it is an advance of capital. Such a producer therefore regards this outlay of labour as an unavoidable precondition for the return from his labour, which is what he is concerned with first. As for his surplus labour, once that necessary labour is deducted, it is realized in a surplus product in any case; and as soon as he can sell it, or indeed use it himself, he regards it as something that has cost him nothing, because it cost no objectified labour. It is only the spending of objectified labour that counts for him as a parting with wealth. He naturally tries to sell as dear as possible; but even a sale below value and below the capitalist price of production still counts for him as profit, so far as that profit has not been anticipated by debt, mortgage and the like.

For the capitalist, by contrast, the outlay of variable capital and of constant capital alike is an advance of capital. The relatively greater advance of the latter lowers the cost price, other circumstances remaining the same, and in fact also the value of the commodities. So although profit springs only from surplus labour, that is, only from the use of variable capital, it can still seem to the individual capitalist that living labour is the dearest element in what his production costs him, and the one most to be cut down to a minimum. This is only a capitalistically distorted form of the correct statement that a relatively greater application of past labour, compared with living labour, means a greater productivity of social labour and greater social wealth. So false is everything, and so, turned on its head, does everything present itself from the standpoint of competition.

Kap. 41
Konzentration hebt die Rente per Acre
The reader arrives from the fourth case, where a fall in cost price could release capital and where the same unit cost concealed different situations; the constant production price has held throughout. What is settled here is the chapter's general result, and it is settled without a productivity story: the per-acre magnitudes grow with capital, and rent only as the case may be. The definition of surplus product is secured before the case closes.
Bei der Voraussetzung gleichbleibender Produktionspreise können die zuschüssigen Kapitalanlagen mit gleichbleibender, zunehmender oder abnehmender Produktivität auf den bessern Ländereien, d.h. auf allen von B aufwärts gemacht werden. Auf A selbst wäre dies unter unsrer Voraussetzung nur möglich entweder bei gleichbleibender Produktivität, wo das Land dann nach wie vor keine Rente trägt, oder auch wenn die Produktivität zunimmt; ein Teil des auf den Boden A angelegten Kapitals würde dann Rente tragen, der andre nicht. Aber es wäre unmöglich bei Annahme abnehmender Produktivkraft für A, denn sonst würde der Produktionspreis nicht konstant bleiben, sondern steigen. Unter allen diesen Umständen aber, d.h. ob das Surplusprodukt, das sie bringen, ihrer Größe proportionell oder über oder unter dieser Proportion - ob daher die Rate des Surplusprofits des Kapitals, beim Wachstum dieses letzteren, konstant bleibt, steigt oder fällt -, das Surplusprodukt und der ihm entsprechende Surplusprofit per Acre wächst, also auch eventuell die Rente, Korn- und Geldrente. Das Wachsen in der bloßen Masse des Surplusprofits, resp. der Rente, per Acre berechnet, d.h. wachsende Masse auf eine gleichbleibende Einheit berechnet, also hier auf irgendein bestimmtes Bodenquantum, Acre oder Hektare, drückt sich als wachsende Proportion aus. Die Höhe der Rente, per Acre berechnet, wächst daher unter diesen Umständen einfach infolge der Vermehrung des auf den Boden angelegten Kapitals. Und zwar findet dies statt bei gleichbleibenden Produktionspreisen, und gleichgültig dagegen, ob die Produktivität des zuschüssigen Kapitals gleichbleibend, abnehmend oder zunehmend ist. Die letzteren Umstände modifizieren den Umfang, worin die Höhe der Rente per Acre wächst, aber nicht die Tatsache dieses Wachsens selbst. Dies ist ein Phänomen, welches der Differentialrente II eigentümlich ist und sie von Differentialrente I unterscheidet. Wären die zusätzlichen Kapitalanlagen, statt zeitlich nacheinander auf denselben Boden, räumlich nebeneinander auf neuen zusätzlichen Boden der entsprechenden Qualität gemacht worden, so wäre die Masse des Rentals gewachsen und, wie früher gezeigt, auch die Durchschnittsrente der bebauten Gesamtfläche, aber nicht die Höhe der Rente per Acre. Bei gleichbleibendem Resultat, soweit Masse und Wert der Gesamtproduktion und des Surplusprodukts in Betracht kommen, entwickelt die Konzentration des Kapitals auf engerer Bodenfläche die Höhe der Rente per Acre, wo unter denselben Umständen seine Zerstreuung über eine größre Fläche, bei sonst gleichbleibenden Umständen, nicht diese Wirkung hervorbringt. Je mehr sich aber die kapitalistische Produktionsweise entwickelt, desto mehr auch die Konzentration von Kapital auf derselben Bodenfläche, desto höher steigt also die Rente, per Acre berechnet. In zwei Ländern daher, wo die Produktionspreise identisch, die Differenzen der Bodenarten identisch und dieselbe Masse Kapital angelegt wäre, aber in dem einen mehr in der Form sukzessiver Anlagen auf beschränkter Bodenfläche, in der andren mehr in der Form koordinierter Anlagen auf breiterer Fläche, wäre die Rente per Acre und damit der Bodenpreis höher in dem ersten und niedriger im zweiten Land, obgleich die Masse der Rente in beiden Ländern dieselbe wäre. Der Unterschied in der Höhe der Rente wäre hier also weder aus Unterschied in der natürlichen Fruchtbarkeit der Bodenarten, nach der Menge der angewandten Arbeit, sondern ausschließlich aus der verschiednen Art der Kapitalanlagen zu erklären.
Rent per acre: concentration beats spreading

Hold production prices steady, and extra capital can be put into the better land — any land from B upwards — whether that extra capital works as productively as before, better than before, or worse. On A itself, given our assumption, this would be possible in only two ways: the added capital works just as productively as before, in which case the land goes on bearing no rent, or it works better, in which case one part of the capital laid on A would bear rent and the other part would not. It could not work worse. On the assumption that A's productivity declined it would be impossible, because the production price would then not stay constant — it would rise.

Whatever becomes of the surplus product these investments bring — whether it comes out in proportion to their size, or above that proportion, or below it, and so whether the rate of surplus profit on the capital stays the same, rises or falls as that capital grows — the surplus product per acre grows, and the surplus profit that answers to it, and so, as the case may be, does the rent, in corn and in money. Growth in the mere mass of surplus profit or of rent, reckoned on a unit that stays the same — an acre, or a hectare, some fixed quantity of land — shows itself as a rising proportion. The level of rent per acre therefore rises, under these conditions, for one reason only: more capital has been laid on the land. And this holds with production prices unchanged, and regardless of whether the extra capital is equally, less, or more productive. Those differences change how far the rent per acre rises; they do not change the fact that it rises.

This is something peculiar to differential rent II, and it is what separates it from differential rent I. Had those additional investments been made side by side in space, on new land of the same quality, rather than one after another in time on the same land, the mass of the rental would have grown, and so, as shown earlier, would the average rent of the whole cultivated area — but not the level of rent per acre. The result stays the same as far as the mass and value of total production and of the surplus product go, yet concentrating capital on a narrower stretch of land raises the level of rent per acre, where under the same conditions spreading it over a wider stretch, with everything else unchanged, does not bring that effect about. And the more capitalist production develops, the more capital concentrates on the same land, so the higher the rent per acre rises.

Hence two countries with identical production prices, identical differences between their land types, and the same mass of capital invested, but one putting more of it in as successive investments on a restricted area and the other more in as coordinated investments over a wider area: the rent per acre, and with it the land price, would be higher in the first country and lower in the second, even though the mass of rent was the same in both. The difference in the level of rent would thus be explained neither by a difference in the natural fertility of the land types nor by the quantity of labour applied, but exclusively by the different kind of capital investment.

Wenn wir hier von Surplusprodukt sprechen, so ist darunter immer zu verstehn der aliquote Teil des Produkts, worin sich der Surplusprofit darstellt. Sonst verstehn wir unter Mehrprodukt oder Surplusprodukt den Produktenteil, worin sich der Gesamtmehrwert, oder auch in einzelnen Fällen denjenigen, worin sich der Durchschnittsprofit darstellt. Die spezifische Bedeutung, die das Wort beim Rente tragenden Kapital erhält, gibt, wie früher gezeigt, zu Mißverständnissen Anlaß.
What surplus product means here

When we speak of surplus product here, we always mean the aliquot portion of the product in which the surplus profit is expressed. Otherwise, by surplus produce or surplus product we mean the part of the product in which the total surplus-value is expressed, or, in particular cases, the part in which the average profit is expressed. The special meaning the word takes on in the case of capital that bears rent gives rise to misunderstandings, as was shown earlier.

Kap. 41
Cases I and II: No Effect, Then Proportional
The reader arrives carrying the first form of differential rent: equal capitals laid out side by side on unequal soils, the worst of them governing the price. What is new is capital applied one after another on the same ground, in whatever proportion, on one soil or several. What is settled here is what happens to rent when the governing price does not move at all — nothing whatever where the added capital is no better than the worst soil, and a rise exactly in step with the capital where each soil's product grows in proportion. It is also settled what the added capital is not: not a more fruitful application, only more of it with the same success as before.
This assumption implies that the market price continues to be governed by the capital invested on the worst land A.
The premise: the price stays fixed

The premise of this case carries a further point with it: the market price is still governed by whatever capital is invested on the worst land, A.

I. If the additional capital invested on any of the rent-bearing types of land B, C and D is only as productive as the same capital on land A, i.e. if at the governing price of production it yields only the average profit and thus no surplus profit, the effect on rent is nil. Everything remains as it was before. It is the same as if a number of acres of quality A, the worst land, had been added to the area previously cultivated.
Case I: effect on rent nil

I. Suppose extra capital is put into any of the rent-bearing types of land B, C or D. If it produces only as much as the same capital would produce on land A — that is, if at the governing price of production it brings in only the average profit and so no surplus profit — then the effect on rent is exactly zero. Everything stays as it was.

It comes to the same thing as if any number of acres of quality A, the worst land, had been added to the area cultivated so far.

II. On each different type of land, additional capitals produce extra products in proportion to their size; i.e. the volume of production grows, according to the specific fertility of each type of land, in proportion to the amount of extra capital. In Chapter 39 we took Table I [p. 825, first table] as our point of departure.
Case II: extra product in proportion

II. On each type of land, the extra capitals yield extra products in proportion to their size — the scale of production grows, in line with the specific fertility of each type of land, in step with the size of the extra capital. In Chapter 39 we started out from Table I, the first table below:

Type of land Acres Capital (£) Profit (£) Price of prod. (£) Output (qrs) Selling price (£) Proceeds (£) Rent Rate of surplus profit
qrs £
A 1 2 1/2 1/2 3 1 3 3 0 0 0
B 1 2 1/2 1/2 3 2 3 6 1 3 120%
C 1 2 1/2 1/2 3 3 3 9 2 6 240%
D 1 2 1/2 1/2 3 4 3 12 3 9 360%
Total 4 10 12 10 30 6 18
Type of land Acres Capital (£) Profit (£) Price of prod. (£) Output (qrs) Selling price (£) Proceeds (£) Rent Rate of surplus profit
qrs £
A 1 2 1/2 1/2 3 1 3 3 0 0 0
B 1 2 1/2 1/2 3 2 3 6 1 3 120%
C 1 2 1/2 1/2 3 3 3 9 2 6 240%
D 1 2 1/2 1/2 3 4 3 12 3 9 360%
Total 4 10 12 10 30 6 18
This is now transformed into Table II [p. 825].
Table I becomes Table II

Table I now turns into Table II:

Table II
Type of land Acres Capital (£) Profit (£) Price of prod. (£) Output (qrs) Selling price (£) Proceeds (£) Rent Rate of surplus profit
qrs £
A 1 2 1/2 + 2 1/2 = 5 1 6 2 3 6 0 0 0
B 1 2 1/2 + 2 1/2 = 5 1 6 4 3 12 2 6 120%
C 1 2 1/2 + 2 1/2 = 5 1 6 6 3 18 4 12 240%
D 1 2 1/2 + 2 1/2 = 5 1 6 8 3 24 6 18 360%
4 20 20 60 12 36
Table II
Type of land Acres Capital (£) Profit (£) Price of prod. (£) Output (qrs) Selling price (£) Proceeds (£) Rent Rate of surplus profit
qrs £
A 1 2 1/2 + 2 1/2 = 5 1 6 2 3 6 0 0 0
B 1 2 1/2 + 2 1/2 = 5 1 6 4 3 12 2 6 120%
C 1 2 1/2 + 2 1/2 = 5 1 6 6 3 18 4 12 240%
D 1 2 1/2 + 2 1/2 = 5 1 6 8 3 24 6 18 360%
4 20 20 60 12 36
It is unnecessary here for the capital investment on all types of land to double, as in the table. The law is the same whenever extra capital is applied on one or more of the rent-bearing types of land, no matter in what proportions. All that it requires is simply that production on each type should increase in the same ratio as capital. Here, rent rises simply as a result of increased capital investment on the land and in proportion to this increase of capital. This increase in the product and rent as a result of and in proportion to increased capital investment is just the same, as far as the amount of product and rent is concerned, as if the cultivated area of the rent-bearing lands of the same quality had increased and these were cultivated with the same capital investment as the same types of land were previously. In the case of Table II, for example, the result would remain the same if the additional capital of £2 1/2 per acre were invested on a second acre each of B, C and D.
Rent rises only from more capital

Nothing here requires the capital invested in every type of land to double, as it does in the table. The law is the same whenever extra capital is put into one or more of the rent-bearing lands, in whatever proportion. All it needs is that on each type of land production grows in the same ratio as the capital applied to it.

Rent rises here only because more capital has been put into the land, and in proportion to that increase of capital. As far as the amount of product and the amount of rent go, this growth of product and rent — coming from the bigger capital and proportional to it — is exactly the same as if more rent-bearing land of the same quality had come under cultivation and had been worked with the same capital as those lands were worked with earlier. Table II gives an example: the result would come out unchanged if the extra £2 1/2 per acre had been laid out on a second acre apiece of B, C and D.

This assumption also supposes that there is not a more fruitful application of capital, but simply an application of more capital to the same area with the same result as before.
More capital, not better capital

This assumption also supposes nothing more fruitful about how the capital is applied. What it supposes is more capital on the same area, achieving the same result as before.

In this case, all proportionate ratios remain the same. However, if we consider not the proportionate differences but the simple arithmetical ones, the differential rent on the various types of land can alter. Let us assume for example that the extra capital has been invested solely on B and D. The difference between D and A is then 7 qrs, as against 3 qrs before; between B and A, 3 qrs instead of 1 qr; between C and B, - 1 instead of + 1 , etc. But this arithmetical difference, which is decisive in the case of differential rent I, in so far as it expresses the difference in productivity for the same capital investment, is here quite immaterial, since it is simply the result of different further investment, or non-investment of capital, given the same difference for each equal portion of capital on the various lands.
Arithmetical differences are immaterial here

Here all the proportionate ratios stay the same. It is true that the differential rent on the different types of land can change, if we look not at the proportionate differences but at the plain arithmetical ones. Suppose, for instance, that the extra capital had been put only into B and D. Then the difference between D and A is 7 qrs, against 3 before; between B and A, 3 qrs where there used to be 1; between C and B, minus 1 where there used to be plus 1, and so on.

But this arithmetical difference, the one that is decisive under differential rent I in so far as it expresses a difference in productivity at an equal capital investment, is here quite immaterial. It follows only from differing amounts of extra capital, or none at all, and not from anything about the soils themselves, while the difference for each equal slice of capital on the different lands stays the same.

Kap. 41
Falling Rate, Rising Mass of Rent
The reader arrives carrying the result of the case just worked: capital no better than the rentless soil changes nothing, and capital that is proportionally productive raises rent in proportion to itself. What is left unsettled is the interesting middle — capital that still yields surplus profit, but less than what went before. Marx settles it: the extra capital keeps forming surplus profit, only at a declining rate, so rent on every rent-bearing soil grows absolutely while the rate of surplus profit falls, whether reckoned on the extra capital or on the whole capital laid on the soil. That falling rate is not to be read as falling rent.
III. The extra capitals bring forth an extra product, and thus form surplus profits, though at a declining rate and not in proportion to their increase.
Case three: surplus profit, falling rate

Third case. The extra capitals still bring out an extra product, and so they do form surplus profits — but at a falling rate, and not in proportion to how much they have grown.

Table III
Type of land Acres Capital (£) Profit (£) Price of prod. (£) Output (qrs) Selling price (£) Proceeds (£) Rent Rate of surplus profit
qrs £
A 1 2 1/2 1/2 3 1 3 3 0 0 0
B 1 2 1/2 + 2 1/2 = 5 1 6 2 + 1 1/2 = 3 1/2 3 10 1/2 1 1/2 4 1/2 90%
C 1 2 1/2 + 2 1/2 = 5 1 6 3 + 2 = 5 3 15 3 9 180%
D 1 2 1/2 + 2 1/2 = 5 1 6 4 + 3 1/2 = 7 1/2 3 22 1/2 5 1/2 16 1/2 330%
17 1/2 3 1/2 21 17 51 10 30
Table III
Type of land Acres Capital (£) Profit (£) Price of prod. (£) Output (qrs) Selling price (£) Proceeds (£) Rent Rate of surplus profit
qrs £
A 1 2 1/2 1/2 3 1 3 3 0 0 0
B 1 2 1/2 + 2 1/2 = 5 1 6 2 + 1 1/2 = 3 1/2 3 10 1/2 1 1/2 4 1/2 90%
C 1 2 1/2 + 2 1/2 = 5 1 6 3 + 2 = 5 3 15 3 9 180%
D 1 2 1/2 + 2 1/2 = 5 1 6 4 + 3 1/2 = 7 1/2 3 22 1/2 5 1/2 16 1/2 330%
17 1/2 3 1/2 21 17 51 10 30
It is once again immaterial, in connection with this third assumption, whether the extra investments of capital put in second time round fall uniformly on the various types of land or not; whether the declining production of surplus profit proceeds in equal or unequal proportions; whether the additional capital investments all fall on the same rent-bearing type of land; or whether they are distributed, uniformly or not, on rent-bearing lands of different quality. All these factors are immaterial for the law to be developed here. The only assumption is that extra capital investments on any of the rent-bearing land types yield surplus profit, but in declining proportion to the increase in capital. In the examples given in the above table, the limits of this decline are 4 qrs = £12, the product of the first capital investment on the best land D, and 1 qr = £3, the product of the same capital investment on the worst land A. Given the same capital investment, the product of the best land on investment of the original capital forms the maximum limit - and the product of the worst land A, which bears no rent and gives no surplus profit, the minimum limit - of the product that the successive capital investments on any of the land types yielding surplus profit actually yield in a situation of a decline in productivity from successive capital investments. While assumption II implies that new plots of land of the same quality as the better types are added to the cultivated area, that the quantity of one or more of the cultivated land types increases, assumption III implies that additional plots of land are tilled whose degree of fertility varies between D and A, between that of the best land and that of the worst. If the successive capital investments take place exclusively on land D, they can encompass the existing differences between D and A, as well as those between D and C and between D and B. If they all take place on land C, they can encompass only the differences between C and A and C and B; if on B, then only the differences between B and A.
Where the extra capital lands

Once more, with this third assumption, it does not matter whether the second round of extra capital is spread over the different land types uniformly or not; whether the declining production of surplus profit keeps even proportions or uneven ones; whether the additional capital all lands on one and the same rent-bearing land type, or gets split, evenly or unevenly, over rent-bearing soil of differing quality. For the law that is to be worked out here, none of this counts. The single premise is this: extra capital put into any of the rent-bearing land types brings in surplus profit, but the amount it brings in falls as a proportion of each further addition to capital. In the examples of the table in front of us, the edges of that fall run from 4 qrs = £12, which is what the first capital investment yields on the best land D, to 1 qr = £3, which is what the same capital investment yields on the worst land A. With the capital investment the same: what the best land yields when capital I is invested sets the top limit, and what the worst land A yields — land that carries no rent and gives no surplus profit — sets the bottom limit of what successive capital investments bring in on any land type that yields surplus profit, once successive investments are losing productivity. Assumption II matches the case where new plots of the same quality are added to the area under cultivation, so that the quantity of some cultivated land type grows; assumption III matches, in the same way, the case where further plots are tilled whose differing degrees of fertility are spread out between D and A, between the best soil and the worst. If the successive capital investments go onto land D alone, they can take in the gaps that already exist: D against A, D against C, D against B. If they all go onto land C, then only the gaps between C and A and, respectively, C and B; if onto B, only the gap between B and A.

But the law is that the rent on all these types of land grows absolutely, even if not in proportion to the additional capital invested.
Rent grows absolutely, not proportionally

But the law is this: the rent on every one of these types of land grows absolutely, even if not in proportion to the extra capital invested.

The rate of surplus profit declines, in relation both to the extra capital and the total capital invested on the land, but the absolute amount of surplus profit increases; just as the falling rate of profit on capital in general is usually combined with an increasing absolute mass of profit. The average surplus profit for the capital investment on B, for example, is now 90 per cent on the capital, while for the first capital investment it was 120 per cent. The total surplus profit, however, increases from 1 qr to 1 1/2 qrs, and from £3 to £4 1/2. The total rent taken by itself — and not in relation to the doubled sum of capital advanced - has risen absolutely. The differences in the rents from the different types of land and their relationship to one another may change in this case; but this change in these differences is here the result of the wider spread of rents and not its cause.
Rate falls, mass rises

The rate of surplus profit falls — take the extra capital by itself, or take the whole capital laid out on the land, it falls either way — but the absolute size of the surplus profit rises; just as the falling rate of profit on capital in general is usually combined with a growing absolute mass of profit. On B, for instance, the average surplus profit on the capital invested is 90 per cent, where the first capital investment gave 120 per cent. The total surplus profit, though, grows, from 1 qr to 1 1/2 qrs and from £3 to £4 1/2. The total rent, taken by itself — and not set against the doubled size of the capital advanced — has risen absolutely. The differences between the rents of the different types of land, and the relation of those rents to one another, may change here; but this change in the differences is the consequence of the rents rising against one another, not its cause.

Kap. 41
A Greater Product, Capital Set Free
The reader arrives from a case in which added capital still raises the absolute mass of rent while the rate of surplus profit falls; the governing production price stayed fixed. What is settled is what happens when the added capital outproduces the original outlay. Rent per acre rises faster than the addition, but the same cost per unit can conceal three different situations: capital set free; additional capital spared where doubled production would be needed; or the advance forced to grow, though less than the old productivity would require. This release is in itself an increase in wealth. It then turns to the capitalist standpoint, where lower cost price, not higher surplus value, governs, and to the petty producer whose own accounts make a sale below value look like profit.
IV. The case in which the extra capital investments on the better types of land produce a greater product than the original requires no further analysis. It is immediately comprehensible how on this assumption the rents per acre rise, and in a higher ratio than the extra capital, whatever the type of land on which it is invested. In this case, the extra capital investment is combined with an improvement. This includes the case in which a small extra capital produces the same or a greater effect than the previous addition of a larger amount. This case is not quite identical with the former, and this is a distinction that is important for all capital investments. If for instance 100 gives a profit of 10, when applied in a particular form, and 200 a profit of 40, then the profit has risen from 10 per cent to 20 per cent, and in this respect it is the same as if 50, applied in a more effective way, gave a profit of 10 instead of 5. We assume here that the profit is bound up with a proportionate increase in the product. But the difference is that in the one case I have to double the capital, while in the other I produce the doubled effect with the same capital as before. It is certainly not the same whether I produce (1) the same product as before with half as much living and objectified labour, (2) double the previous product with the same labour, or (3) four times the previous product with twice the labour. In the first case labour is set free - in either living or objectified form - and can be applied elsewhere; more labour and capital is available. The release of capital (and labour) is in itself an increase in wealth; it has exactly the same effect as if this extra capital was obtained by accumulation, but it spares the task of accumulation.
the fourth case: rent rises faster

IV. Extra capital invested on the better types of land, producing a greater product than the original investment did: this case needs no further analysis. On that assumption it goes without saying that rents per acre rise, and rise in a higher ratio than the extra capital, whatever the type of land the investment is made on. In this case the extra capital investment is bound up with an improvement. It also covers the case where a smaller addition of capital produces the same or a greater effect than an earlier, larger addition did. That case is not quite identical with the earlier one, and the difference matters for every capital investment.

Take an example. If 100 yields a profit of 10, and 200, applied in a particular form, yields a profit of 40, then profit has risen from 10 per cent to 20 per cent, and to that extent it is the same as if 50, applied in a more effective form, yielded a profit of 10 instead of 5. We assume here that profit goes together with a proportionate increase in the product. But the difference is this: in the one case I have to double the capital, in the other I bring about the doubled effect with the capital I already have.

It is by no means the same thing whether (1) I turn out the same product as before with half as much living and objectified labour, (2) I turn out twice the previous product with the same labour, or (3) I turn out four times the previous product with twice the labour. In the first case labour is set free, in living or in objectified form, and can be used elsewhere; the power of disposal over labour and capital grows. The release of capital (and labour) is in itself an increase in wealth; it has exactly the same effect as if this extra capital had been obtained by accumulation, but it spares the labour of accumulation.

Let us assume that a capital of 100 has produced a product of 10 metres [of cloth]. Say that this capital contains as much constant capital as it does living labour and profit. The cost is 10 per metre. If I can then produce 20 metres with the same capital of 100, the cost falls to 5 per metre. If on the other hand I can produce 10 metres with a capital of 50, the cost is still 5 per metre, and a capital of 50 is also released, in so far as the former supply is still sufficient. If I have to invest a capital of 200 to produce 40 metres, the cost is similarly 5 per metre. In this case there is no difference in the determination of value or price, any more than in the quantity produced in proportion to the capital advanced. But in the first case capital is released; in the second case extra capital is spared, given that twice the production is required; in the third case the increased product can be obtained only by a growth in the capital advanced, although not in the same proportion as if the increased product had had to be supplied at the old level of productivity. (This belongs in Part One.)
three routes to five per metre

Suppose a capital of 100 has produced a product of 10 metres of cloth. Those 100 include constant capital as well as living labour and profit. So a metre costs 10. If I can now produce 20 metres with the same capital of 100, a metre costs 5. If instead I can produce 10 metres with a capital of 50, a metre costs 5 as well, and a capital of 50 is set free, in so far as the old supply of goods is enough. If I have to lay out a capital of 200 in order to produce 40 metres, a metre likewise costs 5.

In these three cases the determination of value, or of price, reveals no difference, and neither does the mass of product in proportion to the capital advanced. But in the first case capital is set free; in the second case extra capital is spared, in so far as twice the production would be needed; in the third case the increased product can be obtained only if the capital advanced grows, though not in the same proportion as if the increased product had had to be supplied at the old productive power. (This belongs in Part One.)

Considered from the standpoint of capitalist production, then as far as a fall in the cost price is concerned, rather than an increase in surplus-value - and a saving in costs on the surplus-value-forming element, labour, does the capitalist the same service as a rise in surplus-value itself; it similarly forms profit for him, as long as the governing production price remains the same - it is always cheaper to employ constant capital rather than variable. This presupposes in fact the development of credit and the abundance of loan capital that corresponds to the capitalist mode of production. Say I employ on the one hand an additional constant capital of £100, this £100 being the product of five workers over a year; on the other hand, £100 in variable capital. If the rate of surplus-value is 100 per cent, the value that the five workers have created is £200; the value of the £100 constant capital, however, is £100, while as capital it is perhaps £105, if the rate of interest is 5 per cent. The same sums of money express very different values, when their products are considered, according to whether they are advanced to production as sums of constant capital or of variable. Another factor, as far as the cost of commodities from the capitalist's standpoint is concerned, is the further distinction that of the £100 constant capital, in so far as this is invested in fixed capital, only the wear and tear goes into the value of the commodity, whereas the £100 for wages must be completely reproduced in it.
Constant capital cheaper — from that standpoint

Looked at from the standpoint of capitalist production, the aim is not a larger surplus-value but a lower cost price. A saving in costs on the element that forms surplus-value too, labour, does the capitalist the same service, and brings him profit as well, so long as the governing production price holds steady. Seen that way, constant capital is always the cheaper thing to employ. What this does assume, in fact, is the credit system and the plenty of loan capital that belong with the capitalist way of producing.

Take one side: I put an extra £100 of constant capital to work, and this £100 is what five workers turn out over the year. Take the other side: £100 laid out in variable capital. With the rate of surplus-value at 100 per cent, the value those five workers have made comes to £200, while £100 of constant capital is worth £100, and as capital perhaps £105, given a rate of interest of 5 per cent. So the same sums of money, once you look at what they produce, stand for very different values, depending on whether they are advanced to production as magnitudes of constant capital or of variable capital.

There is one further difference, again as the capitalist sees things, in what a commodity costs him. With that £100 of constant capital, where it is laid out in fixed capital, nothing but the wear and tear finds its way into the commodity's value, while the £100 paid out in wages has to be reproduced there in full.

In the case of colonists and independent petty producers in general, who have no access to capital, or only at high interest rates, the portion of the product that represents wages is their revenue, whereas for the capitalist it is a capital advance. They therefore consider this outlay of labour as an indispensable precondition for the proceeds of their labour, which is the most important thing for them. As far as their extra labour is concerned, after this necessary labour is deducted, it is always realized in an excess product; and whenever they can sell it or can employ it themselves, they consider it as something that has cost them nothing, as it has not cost any objectified labour. It is only the expenditure of objectified labour which is seen by them as an alienation of wealth. They naturally seek to sell as dear as possible; but even a sale below value and the capitalist price of production still seems to them a profit, as long as this profit is not anticipated by incurring any debt, mortgage, etc. For the capitalist, on the other hand, the outlay of both constant capital and variable is an advance of capital. The relatively greater advance of constant capital reduces the cost price, other things being equal, as it also reduces the value of the commodities. Hence although profit arises simply from the surplus labour, i.e. simply from the employment of variable capital, it can seem to the individual capitalist that living labour is the most expensive element in his production costs, which should be reduced to the smallest possible minimum. This is simply a capitalistically distorted form of the correct statement that the relatively greater application of past labour, compared with living, means an increase in the productivity of social labour and greater social wealth. This is how everything appears from the standpoint of competition: incorrectly, and standing on its head.
the colonist's books, the capitalist's inversion

With colonists, and with independent small producers generally, who cannot lay hands on capital at all, or only at high rates of interest, the part of the product that stands for wages is their revenue, whereas for the capitalist it is an advance of capital. Such a producer therefore regards this outlay of labour as an unavoidable precondition for the return from his labour, which is what he is concerned with first. As for his surplus labour, once that necessary labour is deducted, it is realized in a surplus product in any case; and as soon as he can sell it, or indeed use it himself, he regards it as something that has cost him nothing, because it cost no objectified labour. It is only the spending of objectified labour that counts for him as a parting with wealth. He naturally tries to sell as dear as possible; but even a sale below value and below the capitalist price of production still counts for him as profit, so far as that profit has not been anticipated by debt, mortgage and the like.

For the capitalist, by contrast, the outlay of variable capital and of constant capital alike is an advance of capital. The relatively greater advance of the latter lowers the cost price, other circumstances remaining the same, and in fact also the value of the commodities. So although profit springs only from surplus labour, that is, only from the use of variable capital, it can still seem to the individual capitalist that living labour is the dearest element in what his production costs him, and the one most to be cut down to a minimum. This is only a capitalistically distorted form of the correct statement that a relatively greater application of past labour, compared with living labour, means a greater productivity of social labour and greater social wealth. So false is everything, and so, turned on its head, does everything present itself from the standpoint of competition.

Kap. 41
Concentration Raises Rent Per Acre
The reader arrives from the fourth case, where a fall in cost price could release capital and where the same unit cost concealed different situations; the constant production price has held throughout. What is settled here is the chapter's general result, and it is settled without a productivity story: the per-acre magnitudes grow with capital, and rent only as the case may be. The definition of surplus product is secured before the case closes.
Assuming stable production prices, the extra capital investments can be made with constant, increasing or decreasing productivity on the better lands, i.e. on all land from B upwards. On A itself, this would only be possible, on our assumptions, either with productivity unchanged, in which case the land would continue to bear no rent, or if productivity increases; one part of the capital invested on land A would then bear rent, the other not. But it would be impossible on the assumption that A's productivity declines, for in that case the production price would not remain constant, but would rise. Under all these circumstances, however, i.e. whether the surplus product brought in is proportionately above or below this proportion - and thus whether the rate of surplus profit on the capital remains constant, rises, or falls as the capital grows - the surplus product and the surplus profit per acre corresponding to it increase, and so too therefore, potentially, does the rent, in corn and in money. The growth in the simple mass of surplus profit or rent, reckoned per acre, i.e. reckoning the growing mass on a constant unit, and here therefore on some definite quantity of land, an acre or a hectare, is expressed as a growth in the proportion. The level of rent, reckoned per acre, thus grows under these conditions simply as a result of the increase in the capital invested on the land. And this takes place moreover with production prices remaining the same, and irrespective of whether the productivity of the extra capital remains the same, decreases or increases. The latter factors modify the degree to which the level of rent per acre grows, but not the fact that it does grow. This is a phenomenon that is peculiar to differential rent II and distinguishes it from differential rent I. If the additional capital investments were made alongside one another in space on new additional land of the appropriate quality, instead of successively in time on the same land, the mass of the rental would have grown, and so would the average rent of the overall cultivated area, as shown earlier, but not the level of rent per acre. With the result remaining the same, as far as the mass and value of the total production and the surplus product are concerned, the concentration of capital increases the level of rent per acre on a more restricted area, whereas under the same conditions its scattering over a greater area, with other factors remaining the same, could not produce this effect. The more the capitalist mode of production develops, however, the more the concentration of capital on the same area increases, so that the rent per acre rises. Hence in two countries where production prices are the same, the differences between land types the same and the same amount of capital is invested, but in one country more in the form of successive investments on a restricted area and in the other more in the form of coordinated investments on a wider area, the rent per acre and therefore the land price would be higher in the first country and lower in the second, even though the total rental in both countries was the same. This difference in the levels of rent could thus be explained neither in terms of a difference in the natural fertility of the land types nor in the amount of labour applied, but exclusively in terms of the different kind of capital investments.
Rent per acre: concentration beats spreading

Hold production prices steady, and extra capital can be put into the better land — any land from B upwards — whether that extra capital works as productively as before, better than before, or worse. On A itself, given our assumption, this would be possible in only two ways: the added capital works just as productively as before, in which case the land goes on bearing no rent, or it works better, in which case one part of the capital laid on A would bear rent and the other part would not. It could not work worse. On the assumption that A's productivity declined it would be impossible, because the production price would then not stay constant — it would rise.

Whatever becomes of the surplus product these investments bring — whether it comes out in proportion to their size, or above that proportion, or below it, and so whether the rate of surplus profit on the capital stays the same, rises or falls as that capital grows — the surplus product per acre grows, and the surplus profit that answers to it, and so, as the case may be, does the rent, in corn and in money. Growth in the mere mass of surplus profit or of rent, reckoned on a unit that stays the same — an acre, or a hectare, some fixed quantity of land — shows itself as a rising proportion. The level of rent per acre therefore rises, under these conditions, for one reason only: more capital has been laid on the land. And this holds with production prices unchanged, and regardless of whether the extra capital is equally, less, or more productive. Those differences change how far the rent per acre rises; they do not change the fact that it rises.

This is something peculiar to differential rent II, and it is what separates it from differential rent I. Had those additional investments been made side by side in space, on new land of the same quality, rather than one after another in time on the same land, the mass of the rental would have grown, and so, as shown earlier, would the average rent of the whole cultivated area — but not the level of rent per acre. The result stays the same as far as the mass and value of total production and of the surplus product go, yet concentrating capital on a narrower stretch of land raises the level of rent per acre, where under the same conditions spreading it over a wider stretch, with everything else unchanged, does not bring that effect about. And the more capitalist production develops, the more capital concentrates on the same land, so the higher the rent per acre rises.

Hence two countries with identical production prices, identical differences between their land types, and the same mass of capital invested, but one putting more of it in as successive investments on a restricted area and the other more in as coordinated investments over a wider area: the rent per acre, and with it the land price, would be higher in the first country and lower in the second, even though the mass of rent was the same in both. The difference in the level of rent would thus be explained neither by a difference in the natural fertility of the land types nor by the quantity of labour applied, but exclusively by the different kind of capital investment.

In speaking of a surplus product here, we mean the aliquot portion of the product in which the surplus profit is expressed. Generally, however, we take surplus product to mean the portion of the product in which the total surplus-value is expressed, or in particular cases the portion that represents the average profit. The specific meaning that this term obtains in the case of rent-bearing capital can give rise to misunderstandings, as we saw previously.
What surplus product means here

When we speak of surplus product here, we always mean the aliquot portion of the product in which the surplus profit is expressed. Otherwise, by surplus produce or surplus product we mean the part of the product in which the total surplus-value is expressed, or, in particular cases, the part in which the average profit is expressed. The special meaning the word takes on in the case of capital that bears rent gives rise to misunderstandings, as was shown earlier.