thebase.works · Das Kapital III Kap. 9 · semantic zoom
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Kap. 9
Fünf Produktionssphären, die Durchschnittsprofitrate und der Produktionspreis
The preceding chapter proved that capitals of unequal composition must earn unequal rates of profit at one and the same degree of exploitation, and closed by conceding how it looks: that this leaves the theory of value stranded, since capitals of equal size do in fact earn about equally. The answer begins here, and it begins by working the inequality out in figures.
Die organische Zusammensetzung des Kapitals hängt in jedem aktuellen Moment von zwei Umständen ab: erstens vom technischen Verhältnis der angewandten Arbeitskraft zur Masse der angewandten Produktionsmittel; zweitens vom Preis dieser Produktionsmittel. Sie muß, wie wir gesehn, nach ihrem Prozentverhältnis betrachtet werden. Die organische Zusammensetzung eines Kapitals, das aus 4/5 konstantem und 1/5 variablem Kapital besteht, drücken wir aus durch die Formel 80c + 20v. Ferner wird bei der Vergleichung eine unveränderliche Rate des Mehrwerts angenommen, und zwar eine irgend beliebige Rate, z.B. 100%. Das Kapital von 80c + 20v wirft also einen Mehrwert von 20m ab, was auf das Gesamtkapital eine Profitrate von 20% bildet. Wie groß nun der wirkliche Wert seines Produkts, hängt davon ab, wie groß der fixe Teil des konstanten Kapitals und wieviel davon als Verschleiß in das Produkt eingeht, wieviel nicht. Da dieser Umstand aber völlig gleichgültig für die Profitrate und also für die vorliegende Untersuchung, wird der Vereinfachung halber angenommen, daß das konstante Kapital überall gleichmäßig ganz in das jährliche Produkt dieser Kapitale eingeht. Es wird ferner angenommen, daß die Kapitale in den verschiednen Produktionssphären, im Verhältnis zur Größe ihres variablen Teils, jährlich gleich viel Mehrwert realisieren; es wird also vorläufig abgesehn von dem Unterschied, den die Verschiedenheit der Umschlagszeiten in dieser Beziehung hervorbringen kann. Dieser Punkt wird später behandelt.
the two determinants, and the premises

The organic composition of capital depends, at any given moment, on two things: first, the technical proportion between the labour-power and the mass of means of production applied; second, the price of those means of production. As we have seen, it has to be looked at as a percentage. A capital made up of four-fifths constant capital and one-fifth variable capital we write as 80c + 20v.

For comparing spheres, we also hold the rate of surplus-value fixed — some arbitrary rate, say 100 per cent, the same everywhere. A capital of 80c + 20v then throws off surplus-value of 20s, which works out to a rate of profit of 20 per cent on the whole capital.

How much the product is actually worth depends on how large the fixed part of the constant capital is, and on how much of it goes into the product each year as depreciation and how much does not. But that makes no difference to the rate of profit, so to keep things simple we assume the whole of the constant capital, in every case alike, passes into the year's product. We also assume that capitals in different spheres realize the same amount of surplus-value each year in proportion to the size of their variable part — for now we set aside the difference that unequal turnover times could make here. That point comes later.

Nehmen wir fünf verschiedne Produktionssphären mit jedesmal verschiedner organischer Zusammensetzung der in ihnen angelegten Kapitale, etwa wie folgt:
five spheres set up

Let's take five different spheres of production, each with capitals of a different organic composition invested in them, set out as follows:

Kapitale Mehrwertsrate Mehrwert Produktwert Profitrate
I. 80c + 20v 100% 20 120 20%
II. 70c + 30v 100% 30 130 30%
III. 60c + 40v 100% 40 140 40%
IV. 85c + 15v 100% 15 115 15%
V. 95c + 5v 100% 5 105 5%
Capitals Rate of surplus-value Surplus-value Value of product Rate of profit
I. 80c + 20v 100% 20 120 20%
II. 70c + 30v 100% 30 130 30%
III. 60c + 40v 100% 40 140 40%
IV. 85c + 15v 100% 15 115 15%
V. 95c + 5v 100% 5 105 5%
Wir haben hier für verschiedne Produktionssphären bei gleichmäßiger Exploitation der Arbeit sehr verschiedne Profitraten, entsprechend der verschiednen organischen Zusammensetzung der Kapitale.
same exploitation, different profit rates

In these five spheres of production, with a uniform exploitation of labour, we get very different rates of profit, matching the different organic composition of the capitals.

Die Gesamtsumme der in den fünf Sphären angelegten Kapitale ist = 500; die Gesamtsumme des von ihnen produzierten Mehrwerts = 110; der Gesamtwert der von ihnen produzierten Waren = 610. Betrachten wir die 500 als ein einziges Kapital, von dem I-V nur verschiedne Teile bilden (wie etwa in einer Baumwollfabrik in den verschiednen Abteilungen, im Kardierraum, Vorspinnraum, Spinnsaal und Websaal, verschiednes Verhältnis von variablem und konstantem Kapital existiert und das Durchschnittsverhältnis für die ganze Fabrik erst berechnet werden muß), so wäre erstens die Durchschnittszusammensetzung des Kapitals von 500 = 390c + 110v oder prozentig 78c + 22v. Jedes der Kapitale von 100 nur als 1/5 des Gesamtkapitals betrachtet, wäre seine Zusammensetzung diese durchschnittliche von 78c + 22v; ebenso fielen auf jedes 100 als durchschnittlicher Mehrwert 22; daher wäre die Durchschnittsrate des Profits = 22%, und endlich wäre der Preis von jedem Fünftel des von den 500 produzierten Gesamtprodukts = 122. Das Produkt von jedem Fünftel des vorgeschoßnen Gesamtkapitals müßte also zu 122 verkauft werden.
the 500 as one capital

The capitals invested in the five spheres come to 500 in all; the surplus-value they produce comes to 110; the value of the commodities they produce comes to 610.

Suppose we treat this 500 as a single capital, of which spheres I to V are simply different parts — the way a cotton mill has different ratios of variable to constant capital in its different departments, the carding room, the roving room, the spinning room, the weaving room, and the average ratio for the whole mill has to be worked out separately. On that supposition, the average composition of the capital of 500 would be 390c + 110v, or as a percentage 78c + 22v. Each capital of 100, looked at as one-fifth of the total capital, would have this same average composition of 78c + 22v; likewise each 100 would carry an average surplus-value of 22; so the average rate of profit would be 22 per cent, and the price of each fifth of the total product made by the 500 would be 122. The product of each fifth of the capital advanced would have to sell at 122.

Es ist jedoch, um nicht zu ganz falschen Schlüssen zu kommen, nötig, nicht alle Kostpreise = 100 anzurechnen.
not every cost price is 100

But to avoid drawing completely wrong conclusions, we cannot reckon all the cost prices at 100.

Bei 80c + 20v und Mehrwertsrate = 100% wäre der Totalwert der vom Kapital I = 100 produzierten Ware = 80c + 20v + 20m = 120, wenn das gesamte konstante Kapital in das jährliche Produkt einginge. Nun kann dies wohl unter Umständen in gewissen Produktionssphären der Fall sein. Schwerlich jedoch da, wo das Verhältnis c : v = 4 : 1. Es ist also bei den Werten der Waren, die von je 100 der verschiednen Kapitale produziert werden, zu erwägen, daß sie verschieden sein werden je nach der verschiednen Zusammensetzung von c aus fixen und zirkulierenden Bestandteilen und daß die fixen Bestandteile verschiedner Kapitale selbst wieder rascher oder langsamer verschleißen, also in gleichen Zeiten ungleiche Wertquanta dem Produkt zusetzen. Für die Profitrate ist dies aber gleichgültig. Ob die 80c den Wert von 80 oder 50 oder 5 an das Jahresprodukt abgeben, ob also das jährliche Produkt = 80c + 20v + 20m = 120, oder = 50c + 20v + 20m = 90, oder = 5c + 20v + 20m = 45 ist, in allen diesen Fällen ist der Überschuß des Werts des Produkts über seinen Kostpreis = 20, und in allen diesen Fällen werden, bei Feststellung der Profitrate, diese 20 auf ein Kapital von 100 berechnet; die Profitrate des Kapital ist also in allen Fällen = 20%. Um dies noch deutlicher zu machen, lassen wir in der folgenden Tabelle für dieselben fünf Kapitale, wie oben, verschiedne Teile des konstanten Kapitals in den Wert des Produkts eingehn.
20 per cent, whatever c contributes

With 80c + 20v and a rate of surplus-value of 100 per cent, the total value of the commodity produced by capital I, a capital of 100, would be 80c + 20v + 20s = 120, if the whole of the constant capital passed into the year's product. Now this might well happen in some spheres of production. But it can hardly happen where the ratio of c to v is 4 to 1.

So when we look at the values of the commodities produced by each 100 of the various capitals, we have to bear in mind that these values will differ according to how c is split between fixed and circulating parts, and that the fixed parts of different capitals themselves depreciate faster or more slowly, adding unequal amounts of value to the product in equal periods of time. But none of this makes any difference to the rate of profit. Whether the 80c transfers a value of 80, or 50, or 5, to the year's product — whether the year's product is 80c + 20v + 20s = 120, or 50c + 20v + 20s = 90, or 5c + 20v + 20s = 45 — in every one of these cases the excess of the value of the product over its cost price is 20, and in every one of these cases, when the rate of profit is worked out, that 20 is reckoned on a capital of 100. So the rate of profit of capital I is 20 per cent in every case.

To make this still clearer, the following table lets different parts of the constant capital pass into the value of the product, for the same five capitals as before.

Kapitale Mehrwertsrate Mehrwert Profitrate Verbrauchtes c Wert der Waren Kostpreis
I. 80c + 20v 100% 20 20% 50 90 70
II. 70c + 30v 100% 30 30% 51 111 81
III. 60c + 40v 100% 40 40% 51 131 91
IV. 85c + 15v 100% 15 15% 40 70 55
V. 95c + 5v 100% 5 5% 10 20 15
390c + 110v - 110 - - - - Summa
78c + 22v - 22 22% - - - Durchschnitt
Capitals Rate of surplus-value Surplus-value Rate of profit Used up c Value of commodities Cost price
I. 80c + 20v 100% 20 20% 50 90 70
II. 70c + 30v 100% 30 30% 51 111 81
III. 60c + 40v 100% 40 40% 51 131 91
IV. 85c + 15v 100% 15 15% 40 70 55
V. 95c + 5v 100% 5 5% 10 20 15
Betrachtet man die Kapitale I-V wieder als ein einziges Gesamtkapital, so sieht man, daß auch in diesem Fall die Zusammensetzung der Summen der fünf Kapitale = 500 = 390c + 110v, also die Durchschnittszusammensetzung = 78c + 22v dieselbe bleibt; ebenso der Durchschnittsmehrwert 22 <1. Auflage: 22%; geändert nach dem Manuskript von Marx >. Diesen Mehrwert gleichmäßig auf I-V verteilt, kämen folgende Warenpreise heraus:
same average, now redistributed

Looking at capitals I to V once more as a single total capital, we find that in this case too the composition of the sum of the five capitals, 500 = 390c + 110v, stays the same, so the average composition is still 78c + 22v and the average surplus-value is still 22. Distributing this surplus-value evenly over I to V gives the following commodity prices:

Kapitale Mehrwert Wert der Waren Kostpreis der Waren Preis der Waren Profitrate Abweichung des Preises vom Wert
I. 80c + 20v 20 90 70 92 22% + 2
II. 70c + 30v 30 111 81 103 22% - 8
III. 60c + 40v 40 131 91 113 22% - 18
IV. 85c + 15v 15 70* 55 77 22% + 7
V. 95c + 5v 5 20 15 37 22% + 17
Capitals Surplus-value Value of commodities Cost-price of commodities Price of commodities Rate of profit Divergence of price from value
I. 80c + 20v 20 90 70 92 22% + 2
II. 70c + 30v 30 111 81 103 22% - 8
III. 60c + 40v 40 131 91 113 22% - 18
IV. 85c + 15v 15 70 55 77 22% + 7
V. 95c + 5v 5 20 15 37 22% + 17
<* 1. Auflage: 40; geändert nach dem Manuskript von Marx>
Zusammengenommen werden die Waren verkauft 2 + 7 + 17 = 26 über und 8 + 18 = 26 unter dem Wert, so daß die Preisabweichungen durch gleichmäßige Verteilung des Mehrwerts oder durch Zuschlag des durchschnittlichen Profits von 22 auf 100 vorgeschoßnes Kapital zu den respektiven Kostpreisen der Waren I-V sich gegenseitig aufheben; in demselben Verhältnis, worin ein Teil der Waren über, wird ein andrer unter seinem Wert verkauft. Und nur ihr Verkauf zu solchen Preisen ermöglicht, daß die Profitrate für I-V gleichmäßig ist, 22%, ohne Rücksicht auf die verschiedne organische Komposition der Kapitale I-V. Die Preise, die dadurch entstehn, daß der Durchschnitt der verschiednen Profitraten der verschiednen Produktionssphären gezogen und dieser Durchschnitt den Kostpreisen der verschiednen Produktionssphären zugesetzt wird, sind die Produktionspreise. Ihre Voraussetzung ist die Existenz einer allgemeinen Profitrate, und diese setzt wiederum voraus, daß die Profitraten in jeder besondren Produktionssphäre für sich genommen, bereits auf ebensoviel Durchschnittsraten reduziert sind. Diese besondren Profitraten sind in jeder Produktionssphäre = m / C, und sind, wie dies im ersten Abschnitt dieses Buchs geschehn, aus dem Wert der Ware zu entwickeln. Ohne diese Entwicklung bleibt die allgemeine Profitrate (und daher auch der Produktionspreis der Ware) eine sinn- und begriffslose Vorstellung. Der Produktionspreis der Ware ist also gleich ihrem Kostpreis plus dem, entsprechend der allgemeinen Profitrate, prozentig ihm zugesetzten Profit oder gleich ihrem Kostpreis plus dem Durchschnittsprofit.
how prices of production arise

Taken together, the commodities are sold at 2 + 7 + 17 = 26 above their value and 8 + 18 = 26 below it, so that by spreading the surplus-value evenly — or by adding to the respective cost prices of commodities I to V the average profit of 22 per 100 of capital advanced — the divergences of price from value cancel each other out exactly: to the same extent that one part of the commodities is sold above its value, another is sold below it. It is only by selling at these prices that the rate of profit can come out the same for I to V, at 22 per cent, regardless of the different organic composition of capitals I to V.

The prices that arise when the average is taken of the different rates of profit in the different spheres of production, and this average is added to the cost prices of the different spheres of production, are the prices of production. They presuppose the existence of a general rate of profit, and that in turn presupposes that the rates of profit in each particular sphere of production, taken on its own, have already been reduced to just as many average rates. These particular rates of profit are, in each sphere of production, equal to s/C — the sphere's own surplus-value divided by its own total capital — and have to be developed out of the value of the commodity, as was done in the first Part of this volume. Without that derivation, the general rate of profit — and with it the production price of the commodity — remains a notion without sense or content.

The production price of a commodity is, then, equal to its cost price plus the profit added to it as a percentage, in line with the general rate of profit — or equal to its cost price plus the average profit.

Infolge der verschiednen organischen Zusammensetzung der in verschiednen Produktionszweigen angelegten Kapitale; infolge daher des Umstandes, daß je nach dem verschiednen Prozentsatz, den der variable Teil in einem Gesamtkapital von gegebner Größe hat, sehr verschiedne Quanta Arbeit von Kapitalen gleicher Größe in Bewegung gesetzt werden, werden auch sehr verschiedne Quanta Mehrarbeit von ihnen angeeignet oder sehr verschiedne Massen Mehrwert von ihnen produziert. Demgemäß sind die Profitraten, die in verschiednen Produktionszweigen herrschen, ursprünglich sehr verschieden. Diese verschiednen Profitraten werden durch die Konkurrenz zu einer allgemeinen Profitrate ausgeglichen, welche der Durchschnitt aller dieser verschiednen Profitraten ist. Der Profit, der entsprechend dieser allgemeinen Profitrate auf ein Kapital von gegebner Größe fällt, welches immer seine organische Zusammensetzung, heißt der Durchschnittsprofit. Der Preis einer Ware, welcher gleich ist ihrem Kostpreis plus dem im Verhältnis ihrer Umschlagsbedingungen auf sie fallenden Teil des jährlichen Durchschnittsprofits auf das in ihrer Produktion angewandte (nicht bloß das in ihrer Produktion konsumierte) Kapital, ist ihr Produktionspreis. Nehmen wir z.B. ein Kapital von 500, davon 100 fixes Kapital, wovon 10% Verschleiß während einer Umschlagsperiode des zirkulierenden Kapitals von 400. Der Durchschnittsprofit für die Dauer dieser Umschlagsperiode sei 10%. Dann wird der Kostpreis des während dieses Umschlags hergestellten Produkts sein: 10c für Verschleiß plus 400 (c + v) zirkulierendes Kapital = 410, und ihr Produktionspreis: 410 Kostpreis plus (10% Profit auf 500) 50 = 460.
average profit, worked example

Because capitals invested in different branches of production have different organic compositions, capitals of the same size set very different quantities of labour in motion, depending on what percentage of a given total capital is variable — so they appropriate very different quantities of surplus labour, and produce very different amounts of surplus-value. Correspondingly, the rates of profit prevailing in different branches of production start out very different.

These different rates of profit are balanced out by competition into a general rate of profit, which is the average of all these different rates. The profit that falls, at this general rate, on a capital of a given size — whatever that capital's organic composition — is called the average profit. A commodity's price of production is its cost price plus the share of the annual average profit that falls to it in proportion to its conditions of turnover — a share reckoned on the capital applied in its production (not merely the capital consumed in its production).

Let us take, for example, a capital of 500, of which 100 is fixed capital, depreciating by 10 per cent during one turnover period of the circulating capital of 400. Suppose the average profit for the length of this turnover period is 10 per cent. Then the cost price of the product made during this turnover will be: 10c for depreciation plus 400 (c + v) circulating capital = 410; and its price of production: 410 cost price plus 50 (10 per cent profit on 500) = 460.

Obgleich daher die Kapitalisten der verschiednen Produktionssphären beim Verkauf ihrer Waren die in der Produktion dieser Waren verbrauchten Kapitalwerte zurückziehn, so lösen sie nicht den in ihrer eignen Sphäre bei der Produktion dieser Waren produzierten Mehrwert und daher Profit ein, sondern nur so viel Mehrwert und daher Profit, als vom Gesamtmehrwert oder Gesamtprofit, der vom Gesamtkapital der Gesellschaft in allen Produktionssphären zusammengenommen, in einem gegebnen Zeitabschnitt produziert wird, bei gleicher Verteilung auf jeden aliquoten Teil des Gesamtkapitals fällt. Pro 100 zieht jedes vorgeschoßne Kapital, welches immer seine Zusammensetzung, in jedem Jahr oder andern Zeitabschnitt den Profit, der für diesen Zeitabschnitt auf 100 als den sovielsten Teil des Gesamtkapitals kommt. Die verschiednen Kapitalisten verhalten sich hier, soweit der Profit in Betracht kommt, als bloße Aktionäre einer Aktiengesellschaft, worin die Anteile am Profit gleichmäßig pro 100 verteilt werden und daher für die verschiednen Kapitalisten sich nur unterscheiden nach der Größe des von jedem in das Gesamtunternehmen gesteckten Kapitals, nach seiner verhältnismäßigen Beteiligung am Gesamtunternehmen, nach der Zahl seiner Aktien. Während sich also der Teil dieses Warenpreises, der die in der Produktion der Waren verzehrten Wertteile des Kapitals ersetzt und mit dem daher diese verzehrten Kapitalwerte rückgekauft werden müssen, während dieser Teil, der Kostpreis, sich ganz nach der Auslage innerhalb der respektiven Produktionssphären richtet, richtet sich der andre Bestandteil des Warenpreises, der auf diesen Kostpreis zugeschlagne Profit, nicht nach der Masse Profit, die von diesem bestimmten Kapital in dieser bestimmten Produktionssphäre während einer gegebnen Zeit produziert wird, sondern nach der Masse Profit, die auf jedes angewandte Kapital, als aliquoten Teil des in der Gesamtproduktion angewandten gesellschaftlichen Gesamtkapitals, während eines gegebnen Zeitraums im Durchschnitt fällt.22
a share, not the sphere's own

So although capitalists in different spheres of production recover, when they sell their commodities, the capital values consumed in producing them, they do not cash in the surplus-value — and so the profit — produced in their own sphere in producing those commodities. They cash in only as much surplus-value, and so profit, as falls to them when the total surplus-value — the total profit — produced in a given period by the total capital of society across all spheres of production taken together is distributed equally over every aliquot part, every equal slice, of that total capital. Whatever its composition, every capital advanced draws, per 100, in each year or other period, the profit that falls for that period on 100 as whatever fraction of the total capital that 100 happens to be. Here, as far as profit is concerned, the different capitalists behave like mere shareholders in a joint-stock company, where the dividends are distributed evenly per 100 and so differ between the various capitalists only by the size of the capital each has put into the joint undertaking, by his proportional stake in it, by the number of his shares.

So while the part of a commodity's price that replaces the portions of capital value consumed in producing the commodities, and with which those consumed capital values have to be bought back — the cost price — is governed entirely by the outlay within the particular sphere of production, the other component of the commodity's price, the profit added onto that cost price, is not governed by the mass of profit actually produced by this particular capital in this particular sphere of production during a given time, but by the mass of profit that falls, on average during a given period, on every capital applied, as an aliquot part of the total social capital applied in production as a whole.

Wenn ein Kapitalist also seine Ware zu ihrem Produktionspreis verkauft, so zieht er Geld zurück im Verhältnis zur Wertgröße des in der Produktion von ihm verzehrten Kapitals und schlägt Profit heraus im Verhältnis zu seinem vorgeschoßnen Kapital als bloßem aliquoten Teil des gesellschaftlichen Gesamtkapitals. Seine Kostpreise sind spezifisch. Der Profitzuschlag auf diesen Kostpreis ist unabhängig von seiner besondren Produktionssphäre, ist einfacher Durchschnitt pro 100 des vorgeschoßnen Kapitals.
specific cost prices, uniform profit

So when a capitalist sells a commodity at its price of production, he draws back money in proportion to the value of the capital he consumed in producing it, and he pockets profit in proportion to his capital advanced, treated simply as an aliquot part of the total social capital. His cost prices are specific to his own production. But the profit added onto that cost price is independent of his particular sphere of production — it is simply the average per 100 of the capital advanced.

Unterstellen wir, die fünf verschiednen Kapitalanlagen I-V im vorigen Beispiel gehörten einem Mann. Wieviel in jeder einzelnen Anlage von I-V auf je 100 des angewandten Kapitals an variablem und konstantem Kapital konsumiert würde in der Produktion der Waren, wäre gegeben, und dieser Wertteil der Waren I -V würde selbstredend einen Teil ihres Preises bilden, da mindestens dieser Preis erheischt ist zum Ersatz des vorgeschoßnen und konsumierten Kapitalteils. Diese Kostpreise wären also für jede Warengattung von I-V verschieden und würden als solche von dem Besitzer verschieden fixiert werden. Was aber die in I-V produzierten verschiednen Massen von Mehrwert oder Profit beträfe, so könnte der Kapitalist sie sehr gut als Profit seines vorgeschoßnen Gesamtkapitals rechnen, so daß auf je 100 Kapital ein bestimmter aliquoter Teil fiele. Verschieden also wären bei den in den einzelnen Anlagen I-V produzierten Waren die Kostpreise; aber gleich bei allen diesen Waren wäre der Teil des Verkaufspreises, der aus dem zugesetzten Profit von je 100 Kapital käme. Der Gesamtpreis der Waren I-V wäre also gleich ihrem Gesamtwert, d.h. gleich Summe der Kostpreise I-V plus Summe des in I-V produzierten Mehrwerts oder Profits; in der Tat also Geldausdruck für das Gesamtquantum Arbeit, vergangner und neu zugesetzter, enthalten in den Waren I-V. Und in dieser Weise ist in der Gesellschaft selbst - die Totalität aller Produktionszweige betrachtet - die Summe der Produktionspreise der produzierten Waren gleich der Summe ihrer Werte.
the sums are equal for society

Suppose the five different capital investments I to V in the previous example belonged to one man. How much variable and constant capital was consumed, per 100 of capital applied, in producing the commodities in each single investment I to V, would be given; and this portion of the value of commodities I to V would obviously form part of their price, since the price must at the very least replace the part of the capital advanced and consumed. So the cost prices would differ for each kind of commodity from I to V, and the owner would fix them differently for each. But as for the different masses of surplus-value or profit produced in I to V, the capitalist could quite well reckon them as profit on his total capital advanced, so that a fixed aliquot part fell on every 100 of capital. So the cost prices of the commodities produced in the separate investments I to V would differ; but the part of the selling price that came from the profit added per 100 of capital would be the same for all these commodities. The total price of commodities I to V would then be equal to their total value — that is, equal to the sum of the cost prices of I to V plus the sum of the surplus-value or profit produced in I to V; in other words, the money expression for the total quantity of labour, past and newly added, contained in commodities I to V.

And this is how, in society itself — considering the totality of all branches of production — the sum of the prices of production of the commodities produced is equal to the sum of their values.

Kap. 9
Der Einwand der Kostpreise, das Gewicht der Sphären und der modifizierte Kostpreis
The definition just reached adds an average profit on top of a cost price. But cost prices are made of things bought from other spheres of production at their own prices, which already carry profit in them, so the definition looks circular before it has been used once. This stretch answers that, and then says exactly what fixes the general rate of profit that average comes from.
Diesem Satz scheint die Tatsache zu widersprechen, daß in der kapitalistischen Produktion die Elemente des produktiven Kapitals in der Regel auf dem Markt gekauft sind, ihre Preise also einen bereits realisierten Profit enthalten und hiernach der Produktionspreis eines Industriezweigs samt dem in ihm enthaltnen Profit, daß also der Profit des einen Industriezweigs in den Kostpreis des andern eingeht. Aber wenn wir die Summe der Kostpreise der Waren des ganzen Landes auf die eine Seite und die Summe seiner Profite oder Mehrwerte auf die andre stellen, so ist klar, daß die Rechnung sich richtig stellen muß. Z.B. nehmen wir eine Ware A; ihr Kostpreis mag die Profite von B, C, D eingeschlossen enthalten, wie bei B, C, D etc. wieder die Profite von A in ihre Kostpreise eingehn mögen.
an apparent contradiction stated

It looks as if this conflicts with a fact: under capitalist production, the elements of productive capital are usually bought on the market, so their prices already contain a realized profit. On this reckoning those prices carry inside them another branch's production price together with the profit contained in it, so that the profit of one branch enters into the cost price of another.

But if we put the sum of the cost prices of all the commodities in a whole country on one side, and the sum of its profits, or surplus-values, on the other, it's clear the account has to come out right. Take a commodity A: its cost price may include the profits of B, C and D, just as A's profit may in turn enter into the cost prices of B, C, D, and so on.

Stellen wir also die Rechnung auf, so fehlt der Profit von A in seinem eignen Kostpreis und ebenso fehlen die Profite von B, C, D etc. in ihren eignen Kostpreisen. Keiner rechnet seinen eignen Profit in seinen Kostpreis ein. Gibt es also z.B. n Sphären der Produktion und wird in jeder ein Profit gleich p gemacht, so ist in allen zusammen der Kostpreis = k - np. Die Gesamtrechnung betrachtet, soweit die Profite einer Produktionssphäre eingehn in den Kostpreis der andren, soweit sind also diese Profite bereits in Rechnung gebracht für den Gesamtpreis des schließlichen Endprodukts und können nicht zum zweitenmal auf der Profitseite erscheinen. Erscheinen sie aber auf dieser Seite, so nur, weil die Ware selbst Endprodukt war, ihr Produktionspreis also nicht in den Kostpreis einer andern Ware eingeht.
why no profit repeats

So when we draw up the account, A's own profit is missing from its own cost price, and the same holds for B, C, D and the rest: each one's profit is missing from its own cost price. No one counts their own profit into their own cost price.

So if there are, say, n spheres of production, and each one makes a profit equal to p, then across all of them together the cost price comes to k - np. Looking at the whole account: wherever one sphere's profits enter into another sphere's cost price, they have already been counted once, in the total price of the final product, and they cannot appear a second time on the profit side. If they do appear on that side, it is only because the commodity itself was the final product, so its price of production never went into another commodity's cost price.

Wenn in den Kostpreis einer Ware eine Summe eingeht = p für die Profite der Produzenten der Produktionsmittel und auf diesen Kostpreis ein Profit geschlagen wird = p1; so ist der Gesamtprofit P = p + p1. Der Gesamtkostpreis der Ware, abstrahiert von allen für Profit eingehenden Preisteilen, ist dann ihr eigner Kostpreis minus P. Heißt dieser Kostpreis k, so ist offenbar k + P = k + p + p1. Man hat bei Behandlung des Mehrwerts in Buch I, Kap. VII, 2, S. 211/203 <Siehe Band 23, S. 236> gesehn, daß das Produkt jedes Kapitals so behandelt werden kann, als ob ein Teil bloß Kapital ersetzt, der andre nur Mehrwert ausdrückt. Diese Berechnung auf das Gesamtprodukt der Gesellschaft angewandt, finden Rektifikationen statt, indem, die ganze Gesellschaft betrachtet, z.B. der im Preis des Flachses enthaltne Profit nicht zweimal figurieren kann, nicht als Teil zugleich des Preises der Leinwand und des Profits des Flachsproduzenten.
the reckoning applied to society

Suppose a sum equal to p, for the profits of the producers of the means of production, enters into a commodity's cost price, and a further profit equal to p1 is then added on top of that cost price. The total profit is then P = p + p1. The commodity's total cost price, once every price-part that goes to profit is stripped out, is then its own cost price minus P. Call that cost price k, and it is clear that k + P = k + p + p1.

We saw earlier, in dealing with surplus-value in Volume 1, that the product of any capital can be treated as if one part merely replaces the capital and the other expresses only surplus-value. Apply that same reckoning to the whole product of society, and corrections have to be made: taking society as a whole, the profit contained in the price of flax, say, cannot figure twice over — once as part of the price of linen, and again as the flax producer's profit.

Es findet insofern kein Unterschied statt zwischen Profit und Mehrwert, als z.B. der Mehrwert von A in das konstante Kapital von B eingeht. Für den Wert der Waren ist es ja völlig gleichgültig, ob die in ihnen enthaltne Arbeit aus bezahlter oder unbezahlter Arbeit besteht. Dies zeigt nur, daß B den Mehrwert von A zahlt. In der Gesamtrechnung kann der Mehrwert von A nicht zweimal zählen.
value counts labour, not payment

There is no difference here between profit and surplus-value when A's surplus-value, say, enters into B's constant capital. For the value of commodities it makes no difference at all whether the labour contained in them is paid or unpaid labour. All this shows is that B pays A's surplus-value. In the account for the whole, A's surplus-value cannot count twice.

Aber der Unterschied ist der: Außer daß der Preis des Produkts z.B. von Kapital B abweicht von seinem Wert, weil der in B realisierte Mehrwert größer oder kleiner sein mag als der im Preis der Produkte von B zugeschlagne Profit, so gilt auch derselbe Umstand wieder für die Waren, die den konstanten Teil des Kapitals B, und indirekt, als Lebensmittel der Arbeiter, auch seinen variablen Teil bilden. Was den konstanten Teil betrifft, so ist er selbst gleich Kostpreis plus Mehrwert, also jetzt gleich Kostpreis plus Profit, und dieser Profit kann wieder größer oder kleiner sein als der Mehrwert, an dessen Stelle er steht. Was das variable Kapital angeht, so ist der durchschnittliche tägliche Arbeitslohn zwar stets gleich dem Wertprodukt der Stundenzahl, die der Arbeiter arbeiten muß, um die notwendigen Lebensmittel zu produzieren; aber diese Stundenzahl ist selbst wieder verfälscht durch die Abweichung der Produktionspreise der notwendigen Lebensmittel von ihren Werten. Indes löst sich dies immer dahin auf, daß, was in der einen Ware zuviel, in der andren zuwenig für Mehrwert eingeht, und daß daher auch die Abweichungen vom Wert, die in den Produktionspreisen der Waren stecken, sich gegeneinander aufheben. Es ist überhaupt bei der ganzen kapitalistischen Produktion immer nur in einer sehr verwickelten und annähernden Weise, als nie festzustellender Durchschnitt ewiger Schwankungen, daß sich das allgemeine Gesetz als die beherrschende Tendenz durchsetzt.
the wage too; the deviations cancel

But there is a real difference. It isn't only that the price of capital B's product deviates from its value, because the surplus-value actually realized in B may be bigger or smaller than the profit added onto the price of B's products. The very same thing holds again for the commodities that make up the constant part of capital B — and, indirectly, as the workers' means of subsistence, its variable part too. Take the constant part: it is itself equal to cost price plus surplus-value, which now means cost price plus profit, and that profit can again be bigger or smaller than the surplus-value it stands in for. Take the variable capital: the average daily wage is always equal to the value the worker himself adds in the hours he has to work to produce the necessary means of subsistence — but that number of hours is itself distorted by the way the production prices of the necessary means of subsistence deviate from their values.

Still, this always resolves itself: whatever goes in too much as surplus-value in one commodity goes in too little in another, so the deviations from value lodged in commodities' production prices cancel each other out.

With the whole of capitalist production, it is only ever in a very complicated and approximate way — as an average of perpetual fluctuations that can never actually be pinned down — that the general law asserts itself as the dominant tendency.

Da die allgemeine Profitrate gebildet wird durch den Durchschnitt der verschiednen Profitraten auf je 100 vom vorgeschoßnen Kapital in einem bestimmten Zeitraum, sage einem Jahr, so ist darin auch der durch den Unterschied der Umschlagszeiten für verschiedne Kapitale hervorgebrachte Unterschied ausgelöscht. Aber diese Unterschiede gehn bestimmend ein in die verschiednen Profitraten der verschiednen Produktionssphären, durch deren Durchschnitt die allgemeine Profitrate gebildet wird.
turnover: erased only in the average

Because the general rate of profit is formed by averaging the different profit rates on every 100 of capital advanced, over a given stretch of time — a year, say — the differences produced by different capitals having different turnover times are wiped out in that average. But those very differences do enter, and do help determine, the different profit rates of the different spheres of production whose average makes up the general rate of profit.

Es ist bei der vorigen Illustration zur Bildung der allgemeinen Profitrate jedes Kapital in jeder Produktionssphäre = 100 angesetzt, und zwar ist dies geschehn, um den prozentigen Unterschied der Profitrate klarzumachen und daher auch den Unterschied in den Werten der Waren, die von gleich großen Kapitalen produziert werden. Aber es versteht sich: die wirklichen Massen des Mehrwerts, die in jeder besondren Produktionssphäre erzeugt werden, hängen, da in jeder solchen gegebnen Produktionssphäre die Zusammensetzung des Kapitals gegeben ist, von der Größe der angewandten Kapitale ab. Indes, die besondre Profitrate einer einzelnen Produktionssphäre wird nicht davon berührt, ob ein Kapital von 100, m × 100 oder xm × 100 angewandt wird. Die Profitrate bleibt 10%, ob der Gesamtprofit 10 :100 oder 1.000 : 10.000 beträgt.
scale doesn't change a sphere's rate

In the illustration just used to build the general rate of profit, every capital in every sphere was set at 100. That was done to bring out clearly the percentage difference in the profit rate, and so also the difference in the values of commodities produced by capitals of equal size. But of course the actual masses of surplus-value produced in each particular sphere depend on the size of the capitals applied, since within any given sphere the composition of capital is fixed. Even so, the particular profit rate of a single sphere is not affected by whether the capital applied is 100, or any multiple of 100, however large. The profit rate stays 10 per cent, whether the total profit is 10 on 100 or 1,000 on 10,000.

Da aber die Profitraten in den verschiednen Produktionssphären verschieden sind, indem in denselben, je nach dem Verhältnis des variablen Kapitals zum Gesamtkapital, sehr verschiedne Massen Mehrwert und daher Profit produziert werden, so ist klar, daß der Durchschnittsprofit pro 100 des gesellschaftlichen Kapitals und daher die Durchschnittsprofitrate oder allgemeine Profitrate sehr verschieden sein wird, je nach den respektiven Größen der in den verschiednen Sphären angelegten Kapitale. Nehmen wir vier Kapitale A, B, C, D. Die Mehrwertsrate sei für alle = 100%. Auf jede 100 vom Gesamtkapital sei das variable Kapital für A = 25, für B = 40, für C = 15, für D = 10. Auf jede 100 vom Gesamtkapital fiele dann ein Mehrwert oder Profit von A = 25, B = 40, C = 15, D = 10; zusammen = 90, also, wenn die vier Kapitale gleich groß sind, Durchschnittsprofitrate 90/4 = 22 1/2 %.
four capitals, equal in size

But profit rates differ from one sphere of production to another, because the ratio of variable capital to total capital differs, and very different masses of surplus-value, and so of profit, get produced accordingly. So it's clear that the average profit per 100 of the social capital — and hence the average or general rate of profit — will vary a great deal depending on the relative sizes of the capitals invested in the different spheres.

Take four capitals, A, B, C and D. Let the rate of surplus-value be 100 per cent for all of them. Out of every 100 of total capital, let the variable capital be 25 for A, 40 for B, 15 for C, 10 for D. Then out of every 100 of total capital there would fall a surplus-value, or profit, of 25 for A, 40 for B, 15 for C, 10 for D — 90 together. So if the four capitals are equal in size, the average rate of profit is 90/4 = 22½ per cent.

Wenn aber die Gesamtkapitalgrößen sind wie folgt: A = 200, B =300, C = 1.000, D = 4.000, so würden die produzierten Profite sein resp. 50, 120, 150 und 400. Zusammen auf 5.500 Kapital ein Profit von 720 oder eine Durchschnittsprofitrate von 13 1/11 %.
the same four, rescaled

But if the total sizes of the capitals are instead A = 200, B = 300, C = 1,000, D = 4,000, the profits produced would be 50, 120, 150 and 400 respectively. Together, on a capital of 5,500, that is a profit of 720, or an average rate of profit of 13 1/11 per cent.

Die Massen des produzierten Gesamtwerts sind verschieden je nach den verschiednen Größen der in A, B, C, D respektive vorgeschoßnen Gesamtkapitale. Bei Bildung der allgemeinen Profitrate handelt es sich daher nicht nur um den Unterschied der Profitraten in den verschiednen Produktionssphären, deren einfacher Durchschnitt zu ziehn wäre, sondern um das relative Gewicht, womit diese verschiednen Profitraten in die Bildung des Durchschnitts eingehn. Dies aber hängt ab von der verhältnismäßigen Größe des in jeder besondren Sphäre angelegten Kapitals oder davon, welchen aliquoten Teil des gesellschaftlichen Gesamtkapitals das in jeder besondren Produktionssphäre angelegte Kapital bildet. Es muß natürlich ein sehr großer Unterschied stattfinden, je nachdem ein größrer oder geringrer Teil des Gesamtkapitals eine höhere oder niedere Profitrate abwirft. Und diese hängt wieder davon ab, wieviel Kapital in den Sphären angelegt ist, wo das variable Kapital relativ zum Gesamtkapital groß oder klein ist. Es ist ganz damit wie mit dem Durchschnittszinsfuß, den ein Wucherer macht, der verschiedne Kapitalien zu verschiednen Zinsraten ausleiht, z.B. zu 4, 5, 6, 7% etc. Die Durchschnittsrate hängt ganz davon ab, wieviel von seinem Kapital er zu jeder der verschiednen Zinsraten ausgeliehen hat.
why weight decides the average

The masses of total value produced differ according to the different sizes of the total capitals advanced in A, B, C and D. So forming the general rate of profit isn't just a matter of the difference between the profit rates in the different spheres of production, of which a simple average could be taken — it's a matter of the relative weight with which those different profit rates enter into forming the average. And that depends on the proportional size of the capital invested in each particular sphere — on what aliquot part of society's total capital the capital in each sphere forms. There obviously has to be a very great difference according to whether a larger or smaller share of the total capital yields a higher or lower profit rate. And that in turn depends on how much capital sits in the spheres where variable capital is relatively large or small compared with the total capital.

It's exactly like the average rate of interest made by a moneylender who lends out different sums at different rates — say at 4, 5, 6, 7 per cent. His average rate depends entirely on how much of his capital he has lent out at each of the different rates.

Die allgemeine Profitrate ist also durch zwei Faktoren bestimmt:
two factors named

The general rate of profit, then, is fixed by two factors:

1. durch die organische Zusammensetzung der Kapitale in den verschiednen Sphären der Produktion, also durch die verschiednen Profitraten der einzelnen Sphären;
the first factor: composition

(1) by the organic composition of the capitals in the different spheres of production — that is, by the different profit rates of the individual spheres;

2. durch die Verteilung des gesellschaftlichen Gesamtkapitals auf diese verschiednen Sphären, also durch die relative Größe des in jeder besondren Sphäre, und daher zu einer besondren Profitrate, angelegten Kapitals; d.h. durch den verhältnismäßigen Massenanteil des gesellschaftlichen Gesamtkapitals, den jede besondre Produktionssphäre verschluckt.
the second factor: distribution

(2) by the way society's total capital is distributed across these different spheres — that is, by the relative size of the capital invested in each particular sphere, and hence at a particular rate of profit; in other words, by the proportional share of society's total capital that each particular sphere swallows up.

Wir hatten es in Buch I und II nur mit den Werten der Waren zu tun. Einerseits hat sich jetzt abgesondert als ein Teil dieses Werts der Kostpreis, andrerseits hat sich entwickelt als eine verwandelte Form des Werts der Produktionspreis der Ware.
a part, and a transformed form

In Volumes 1 and 2 we had only the values of commodities to deal with. Now, on one side, the cost price has separated off as a part of that value; on the other, the production price of the commodity has developed as a transformed form of that value.

Gesetzt, die Zusammensetzung des gesellschaftlichen Durchschnittskapitals sei 80c + 20v und die Rate des jährlichen Mehrwerts m´ = 100%, so wäre der jährliche Durchschnittsprofit für ein Kapital von 100 = 20 und die allgemeine jährliche Profitrate = 20%. Welches nun immer der Kostpreis k der von einem Kapital von 100 jährlich produzierten Waren, ihr Produktionspreis wäre = k + 20. In den Produktionssphären, wo die Zusammensetzung des Kapitals = (80 - x)c + (20 + x)v, wäre der wirklich erzeugte Mehrwert, resp. der innerhalb dieser Sphäre produzierte jährliche Profit, = 20 + x, also größer als 20, und der produzierte Warenwert = k + 20 + x, größer als k + 20 oder größer als ihr Produktionspreis. In den Sphären, wo die Zusammensetzung des Kapitals (80 + x)c + (20 - x)v, wäre der jährlich erzeugte Mehrwert oder Profit = 20 - x, also kleiner als 20, und daher der Warenwert k + 20 - x kleiner als der Produktionspreis, der = k + 20. Abgesehn von etwaigen Unterschieden in der Umschlagszeit, wäre der Produktionspreis der Waren gleich mit ihrem Wert nur in den Sphären, wo die Zusammensetzung des Kapitals zufällig = 80c + 20v wäre.
the algebra of divergence

Suppose the composition of the average social capital is 80c + 20v, and the annual rate of surplus-value, s', is 100 per cent. Then the annual average profit for a capital of 100 would be 20, and the general annual rate of profit would be 20 per cent. Whatever the cost price k of the commodities a capital of 100 produces in a year, their price of production would be k + 20.

In the spheres of production where the composition of capital is (80 - x)c + (20 + x)v, the surplus-value actually created — that is, the annual profit produced within that sphere — would be 20 + x, greater than 20, and the value of the commodities produced would be k + 20 + x, greater than k + 20, that is, greater than their price of production. In the spheres where the composition of capital is (80 + x)c + (20 - x)v, the annual surplus-value or profit would be 20 - x, less than 20, and so the value of the commodities, k + 20 - x, would be less than the price of production, which is k + 20.

Leaving aside any differences in turnover time, the production prices of commodities would equal their values only in the spheres where the composition of capital happened to be exactly 80c + 20v.

Die spezifische Entwicklung der gesellschaftlichen Produktivkraft der Arbeit ist in jeder besondren Produktionssphäre dem Grade nach verschieden, höher oder niedriger, im Verhältnis wie das von einem bestimmten Quantum Arbeit, also bei gegebnem Arbeitstag von einer bestimmten Anzahl Arbeiter, in Bewegung gesetzte Quantum von Produktionsmitteln groß und daher das für ein bestimmtes Quantum Produktionsmittel erheischte Quantum Arbeit klein ist. Wir nennen daher Kapitale, die prozentig mehr konstantes, also weniger variables Kapital enthalten als das gesellschaftliche Durchschnittskapital: Kapitale von höherer Zusammensetzung. Umgekehrt solche, wo das konstante Kapital einen relativ kleinern und das variable einen größern Raum einnimmt, als beim gesellschaftlichen Durchschnittskapital, nennen wir: Kapitale von niedrigerer Zusammensetzung. Kapitale von durchschnittlicher Zusammensetzung endlich nennen wir solche, deren Zusammensetzung mit der des gesellschaftlichen Durchschnittskapitals zusammenfällt. Ist das gesellschaftliche Durchschnittskapital prozentig zusammengesetzt aus 80c + 20v, so steht ein Kapital von 90c + 10v über, eins von 70c + 30v unter dem gesellschaftlichen Durchschnitt. Allgemein, bei Zusammensetzung des gesellschaftlichen Durchschnittskapitals = mc + nv, wo m und n konstante Größen und m + n = 100, repräsentiert (m + x)c + (n - x)v die höhere, (m - x)c + (n + x)v die niedrigere Zusammensetzung eines einzelnen Kapitals oder einer Kapitalgruppe. Wie diese Kapitale fungieren nach Herstellung der Durchschnittsprofitrate, unter Voraussetzung einmaligen Umschlags im Jahr, zeigt folgende Übersicht, worin I die Durchschnittszusammensetzung vorstellt und die Durchschnittsprofitrate somit = 20% ist:
defining higher and lower composition

The specific development of the social productive power of labour differs in degree from one particular sphere of production to another — higher in some, lower in others. It is higher where a given quantity of labour — a given number of workers, the working day being fixed — sets a larger quantity of means of production in motion, and so where the quantity of labour needed for a given quantity of means of production is correspondingly small.

We call capitals that contain, percentage-wise, more constant and so less variable capital than the average social capital, capitals of higher composition. Conversely, capitals where the constant capital takes up a relatively smaller share and the variable a larger one, compared with the average social capital, we call capitals of lower composition. Capitals of average composition, finally, are those whose composition coincides with that of the average social capital. If the average social capital is composed, percentage-wise, of 80c + 20v, then a capital of 90c + 10v stands above the social average, one of 70c + 30v below it. In general, if the average social capital's composition is mc + nv, where m and n are constants and m + n = 100, then (m + x)c + (n - x)v represents the higher, and (m - x)c + (n + x)v the lower, composition of an individual capital or group of capitals.

How these capitals behave once the average rate of profit is established — assuming a single turnover in the year — is shown by the following table, in which I stands for the average composition, so that the average rate of profit is 20 per cent:

I. 80c + 20v + 20m. Profitrate = 20%.
Preis des Produkts = 120. Wert = 120.
II. 90c + 10v + 10m. Profitrate = 20%.
Preis des Produkts =120. Wert = 110.
III. 70c + 30v + 30m. Profitrate = 20%.
Preis des Produkts =120. Wert = 130.
I. 80c + 20v + 20s. Rate of profit = 20 per cent. Price of the product = 120. Value = 120.
II. 90c + 10v + 10s. Rate of profit = 20 per cent. Price of the product = 120. Value = 110.
III. 70c + 30v + 30s. Rate of profit = 20 per cent. Price of the product = 120. Value = 130.
Für die von Kapital II produzierten Waren wäre also ihr Wert kleiner als ihr Produktionspreis, für die des Kapital III der Produktionspreis kleiner als der Wert, und nur für die Kapitale I der Produktionszweige, deren Zusammensetzung zufällig die des gesellschaftlichen Durchschnitts ist, wären Wert und Produktionspreis gleich. Übrigens muß bei Anwendung dieser Bezeichnungen auf bestimmte Fälle natürlich in Rechnung gebracht werden, wie weit etwa nicht ein Unterschied in der technischen Zusammensetzung, sondern bloßer Wertwechsel der Elemente des konstanten Kapitals das Verhältnis zwischen c und v vom allgemeinen Durchschnitt abweichen macht.
value against price of production

For the commodities produced by capital II, then, their value would be less than their price of production; for those of capital III, the price of production would be less than the value; and only for capitals like I, in branches of production whose composition happens to match the social average, would value and price of production be equal.

That said, when applying these terms to particular cases, it obviously has to be taken into account how far the ratio between c and v departs from the general average not because of a difference in technical composition at all, but merely because of a change in the value of the elements of constant capital.

Es ist durch die jetzt gegebne Entwicklung allerdings eine Modifikation eingetreten bezüglich der Bestimmung des Kostpreises der Waren. Ursprünglich wurde angenommen, daß der Kostpreis einer Ware gleich sei dem Wert der in ihrer Produktion konsumierten Waren. Der Produktionspreis einer Ware ist aber für den Käufer derselben ihr Kostpreis und kann somit als Kostpreis in die Preisbildung einer andren Ware eingehn. Da der Produktionspreis abweichen kann vom Wert der Ware, so kann auch der Kostpreis einer Ware, worin dieser Produktionspreis andrer Ware eingeschlossen, über oder unter dem Teil ihres Gesamtwerts stehn, der durch den Wert der in sie eingehenden Produktionsmittel gebildet wird. Es ist nötig, sich an diese modifizierte Bedeutung des Kostpreises zu erinnern und sich daher zu erinnern, daß, wenn in einer besondren Produktionssphäre der Kostpreis der Ware dem Wert der in ihrer Produktion verbrauchten Produktionsmittel gleichgesetzt wird, stets ein Irrtum möglich ist. Für unsre gegenwärtige Untersuchung ist nicht nötig, näher auf diesen Punkt einzugehn. Dabei bleibt immer der Satz richtig, daß der Kostpreis der Waren stets kleiner als ihr Wert. Denn wie auch der Kostpreis der Ware von dem Wert der in ihr konsumierten Produktionsmittel abweichen mag, für den Kapitalisten ist dieser vergangne Irrtum gleichgültig. Der Kostpreis der Ware ist ein gegebner, ist eine von seiner, des Kapitalisten, Produktion unabhängige Voraussetzung, während das Resultat seiner Produktion eine Ware ist, die Mehrwert enthält, also einen Wertüberschuß über ihren Kostpreis. Sonst hat der Satz, daß der Kostpreis kleiner ist als der Wert der Ware, sich jetzt praktisch in den Satz verwandelt, daß der Kostpreis kleiner ist als der Produktionspreis. Für das gesellschaftliche Gesamtkapital, wo Produktionspreis gleich Wert, ist dieser Satz identisch mit dem frühern, daß der Kostpreis kleiner ist als der Wert. Obgleich er für die besondren Produktionssphären abweichenden Sinn hat, so bleibt ihm immer die Tatsache zugrunde liegen, daß, das gesellschaftliche Gesamtkapital betrachtet, der Kostpreis der von diesem produzierten Waren kleiner als der Wert oder der hier, für die Gesamtmasse der produzierten Waren, mit diesem Wert identische Produktionspreis. Der Kostpreis einer Ware bezieht sich nur auf das Quantum der in ihr enthaltnen bezahlten Arbeit, der Wert auf das Gesamtquantum der in ihr enthaltnen bezahlten und unbezahlten Arbeit; der Produktionspreis auf die Summe der bezahlten Arbeit plus einem, für die besondre Produktionssphäre unabhängig von ihr selbst, bestimmten Quantum unbezahlter Arbeit.
cost price's modified meaning

The development just given does, however, bring in a modification of how commodities' cost price is determined. It was originally assumed that a commodity's cost price is equal to the value of the commodities consumed in producing it. But a commodity's price of production is, for whoever buys it, simply its cost price, and so it can enter as cost price into the forming of another commodity's price. And since the price of production can deviate from a commodity's value, a commodity's cost price — where it includes another commodity's price of production — can likewise stand above or below the part of its total value formed by the value of the means of production that went into it. It's necessary to keep this modified sense of cost price in mind, and so to remember that whenever, in some particular sphere of production, a commodity's cost price is simply equated with the value of the means of production used up in making it, an error is always possible.

For the investigation we are engaged in here, there is no need to go any further into this point. What still holds throughout is that a commodity's cost price is always less than its value. For however a commodity's cost price may deviate from the value of the means of production consumed in it, that past error makes no difference to the capitalist. The commodity's cost price is simply a given — a premise that is independent of the capitalist's own production — while the result of his production is a commodity that contains surplus-value, that is, a surplus of value over its cost price. Beyond that, the proposition that cost price is less than a commodity's value has now, in practice, turned into the proposition that cost price is less than the price of production. For society's total capital, where the price of production equals value, this comes to the same thing as the earlier proposition, that cost price is less than value. And although the proposition carries a different sense for particular spheres of production taken on their own, the underlying fact remains: taking society's total capital as a whole, the cost price of the commodities it produces is less than their value — or, here, less than the price of production, which for the total mass of commodities produced is identical with that value.

A commodity's cost price refers only to the quantity of paid labour contained in it. Its value refers to the total quantity of paid and unpaid labour contained in it. Its price of production refers to the sum of the paid labour plus a quantity of unpaid labour that is fixed for that particular sphere of production independently of the sphere itself.

Die Formel, daß der Produktionspreis einer Ware = k + p, gleich Kostpreis plus Profit ist, hat sich jetzt näher dahin bestimmt, daß p = kp´ ist (wo p´ die allgemeine Profitrate), und daher der Produktionspreis = k + kp´. Ist k = 300 und p´ = 15%, so ist der Produktionspreis k + kp´ = 300 + 300 15/100 = 345.
the final formula

The formula that a commodity's price of production is k + p — cost price plus profit — has now been pinned down more closely: p = kp', where p' is the general rate of profit, and so the price of production is k + kp'. If k = 300 and p' = 15 per cent, the price of production, k + kp', is 300 + 300 × 15/100 = 345.

Kap. 9
Was die allgemeine Profitrate wechseln macht - und wie der Ursprung des Profits verschwindet
The price of production has been defined, the objection to it answered, and the general rate traced to the compositions of capital in the different spheres and to the way society's total capital is spread among them. What is left is what can make such a price move - and what the whole transformation does to anybody's chances of seeing where profit comes from.
Der Produktionspreis der Waren in jeder besondren Produktionssphäre kann Größenwechsel erfahren:
how a price of production changes

The price of production of commodities in any particular sphere of production can change in size in three ways:

1. bei gleichbleibendem Wert der Waren (so daß also nach wie vor dasselbe Quantum toter und lebendiger Arbeit in ihre Produktion eingeht) infolge eines von der besondren Sphäre unabhängigen Wechsels in der allgemeinen Profitrate;
first way: the general rate moves

(1) the value of the commodities can stay the same — the same amount of dead and living labour still goes into producing them — while the price of production still changes, because the general rate of profit has changed for reasons that have nothing to do with this particular sphere.

2. bei gleichbleibender allgemeiner Profitrate durch Wertwechsel, sei es in der besondren Produktionssphäre selbst, infolge technischer Änderung, sei es infolge eines Wertwechsels der Waren, die als Bildungselemente in ihr konstantes Kapital eingehn;
second way: value itself changes

(2) the general rate of profit can stay the same while the value changes — either because of a technical change inside this particular sphere of production itself, or because the value has changed in the commodities that go into its constant capital as formative elements.

3. endlich durch Zusammenwirkung dieser beiden Umstände.
third way: both together

(3) finally, both of these can happen together.

Trotz der großen Wechsel, die beständig - wie sich weiter zeigen wird - in den tatsächlichen Profitraten der besondren Produktionssphären vorgehn, ist eine wirkliche Änderung in der allgemeinen Profitrate, soweit nicht durch außerordentliche ökonomische Ereignisse ausnahmsweise ins Werk gesetzt, das sehr späte Werk einer Reihe über sehr lange Zeiträume sich erstreckender Schwingungen, d.h. von Schwingungen, die viel Zeit brauchen, bis sie sich zu einer Änderung der allgemeinen Profitrate konsolidieren und ausgleichen. Bei allen kürzern Perioden (ganz abgesehn von Schwankungen der Marktpreise) ist daher eine Änderung in den Produktionspreisen prima facie stets aus einem wirklichen Wertwechsel der Waren zu erklären, d.h. aus einem Wechsel in der Gesamtsumme der zu ihrer Produktion nötigen Arbeitszeit. Bloßer Wechsel im Geldausdruck derselben Werte kommt hier selbstredend gar nicht in Betracht.23
a real rate change is slow

Even though the actual profit rates in each particular sphere of production keep changing a great deal, as we will see later, a real change in the general rate of profit — unless some extraordinary economic event forces one through as an exception — is the very late result of a series of oscillations spread over very long stretches of time: oscillations that take a long time before they settle down and add up to a change in the general rate.

Over any shorter period — leaving fluctuations in market prices aside entirely — a change in prices of production is, prima facie, always to be explained by a real change in the value of the commodities, that is, by a change in the total amount of labour-time needed to produce them. A mere change in the money expression of the same values obviously does not come into this at all.

Es ist andrerseits klar: das gesellschaftliche Gesamtkapital betrachtet, ist die Wertsumme der von ihm produzierten Waren (oder in Geld ausgedrückt ihr Preis) = Wert des konstanten Kapitals + Wert des variablen Kapitals + Mehrwert. Den Exploitationsgrad der Arbeit als konstant angenommen, kann die Profitrate hier nur wechseln, bei gleichbleibender Masse des Mehrwerts, wenn entweder der Wert des konstanten Kapitals wechselt oder der Wert des variablen wechselt oder beide wechseln, so daß C sich ändert und dadurch m / C, die allgemeine Profitrate. In jedem Falle also unterstellt ein Wechsel in der allgemeinen Profitrate Wechsel im Wert der Waren, die als Bildungselemente in das konstante Kapital oder in das variable oder in beide gleichzeitig eingehn.
a changed rate presupposes changed values

On the other hand, it is clear that, taking the total social capital as a whole, the sum of the values of the commodities it produces (or, expressed in money, their price) equals the value of the constant capital plus the value of the variable capital plus the surplus-value. Taking the degree of exploitation of labour as constant, the rate of profit here can only change, with the mass of surplus-value staying the same, if either the value of the constant capital changes, or the value of the variable capital changes, or both change — so that C itself changes, and with it s/C — the surplus-value divided by that whole capital — which is the general rate of profit. So in every case, a change in the general rate of profit presupposes a change in the value of the commodities that go in as formative elements of the constant capital, or the variable capital, or both at once.

Oder die allgemeine Profitrate kann wechseln bei gleichbleibendem Wert der Waren, wenn der Exploitationsgrad der Arbeit wechselt.
or: exploitation itself changes

Or the general rate of profit can change while the value of the commodities stays the same, if the degree of exploitation of labour changes.

Oder bei gleichbleibendem Exploitationsgrad der Arbeit kann die allgemeine Profitrate wechseln, wenn die Summe der angewandten Arbeit wechselt relativ zum konstanten Kapital, infolge technischer Änderungen im Arbeitsprozeß. Aber solche technischen Änderungen müssen sich stets zeigen in und daher begleitet sein von einem Wertwechsel der Waren, deren Produktion jetzt gegen früher mehr oder minder viel Arbeit erfordern würde.
or: technical change moves values too

Or, with the degree of exploitation of labour staying the same, the general rate of profit can change if the total amount of labour applied changes relative to the constant capital, because of technical changes in the labour process. But changes like that must always show up in, and therefore be accompanied by, a change in the value of the commodities, since producing them would now take more or less labour than before.

Man hat im ersten Abschnitt gesehn: Mehrwert und Profit waren identisch, der Masse nach betrachtet. Die Profitrate jedoch ist von vornherein unterschieden von der Rate des Mehrwerts, was zunächst nur als andre Form der Berechnung erscheint; was aber ebenso von vornherein, da die Rate des Profits steigen oder fallen kann bei gleichbleibender Rate des Mehrwerts und umgekehrt und da allein die Rate des Profits den Kapitalisten praktisch interessiert, durchaus den wirklichen Ursprung des Mehrwerts verdunkelt und mystifiziert. Ein Größenunterschied jedoch war nur zwischen Mehrwertsrate und Profitrate, nicht zwischen Mehrwert und Profit selbst. Da in der Profitrate der Mehrwert auf das Gesamtkapital berechnet und auf es als sein Maß bezogen wird, so erscheint der Mehrwert selbst dadurch als aus dem Gesamtkapital und zwar gleichmäßig aus allen seinen Teilen entsprungen, so daß der organische Unterschied zwischen konstantem und variablem Kapital im Begriff des Profits ausgelöscht ist; in der Tat daher, in dieser seiner verwandelten Gestalt als Profit, der Mehrwert selbst seinen Ursprung verleugnet, seinen Charakter verloren hat, unerkennbar geworden ist. Soweit jedoch bezog sich der Unterschied zwischen Profit und Mehrwert nur auf eine qualitative Änderung, einen Formwechsel, während wirklicher Größenunterschied auf dieser ersten Stufe der Verwandlung nur noch zwischen Profitrate und Mehrwertsrate, noch nicht zwischen Profit und Mehrwert existiert.
mystification begins; only the rates differ

We saw in the first Part that surplus-value and profit were identical in mass — that is, in total amount. But the rate of profit is different from the rate of surplus-value from the very start — which at first looks like nothing more than a different way of calculating. Yet it is also, from the very start, exactly what obscures and mystifies where surplus-value really comes from: the rate of profit can rise or fall while the rate of surplus-value stays the same, and the other way round, and it is only the rate of profit that practically interests the capitalist. Still, the difference in size was only between the rate of surplus-value and the rate of profit — not between surplus-value and profit themselves.

Because in the rate of profit the surplus-value is reckoned against the total capital and measured by it, surplus-value itself now appears to have sprung from the total capital, equally from all its parts, so that the organic distinction between constant and variable capital — the difference between the part that replaces means of production and the part that sets labour to work — is wiped out in the concept of profit. In this transformed shape, as profit, surplus-value really does deny its own origin, loses its character, becomes unrecognizable.

But so far, the difference between profit and surplus-value was only a qualitative change, a change of form. At this first stage of the transformation, a real difference in size exists only between the rate of profit and the rate of surplus-value — not yet between profit and surplus-value themselves.

Anders verhält es sich, sobald eine allgemeine Profitrate und durch selbe ein der in den verschiednen Produktionssphären gegebnen Größe des angewandten Kapitals entsprechender Durchschnittsprofit hergestellt ist.
once a general rate is set

It is different once a general rate of profit has been established, and through it an average profit corresponding to the size of the capital applied in each particular sphere of production.

Es ist jetzt nur noch Zufall, wenn der in einer besondren Produktionssphäre wirklich erzeugte Mehrwert und daher Profit mit dem im Verkaufspreis der Ware enthaltnen Profit zusammenfällt. In der Regel sind Profit und Mehrwert, und nicht bloß ihre Raten, nun wirklich verschiedne Größen. Bei gegebnem Exploitationsgrad der Arbeit ist jetzt die Masse des Mehrwerts, die in einer besondren Produktionssphäre erzeugt wird, wichtiger für den Gesamtdurchschnittsprofit des gesellschaftlichen Kapitals, also für die Kapitalistenklasse überhaupt, als direkt für den Kapitalisten innerhalb jedes besondren Produktionszweigs. Für ihn nur24, sofern das in seiner Branche erzeugte Quantum Mehrwert mitbestimmend eingreift in die Reglung des Durchschnittsprofits. Aber dies ist ein Prozeß, der hinter seinem Rücken vorgeht, den er nicht sieht, nicht versteht und der ihn in der Tat nicht interessiert. Der wirkliche Größenunterschied zwischen Profit und Mehrwert - nicht nur zwischen Profitrate und Mehrwertsrate - in den besondren Produktionssphären versteckt nun völlig die wahre Natur und den Ursprung des Profits, nicht nur für den Kapitalisten, der hier ein besondres Interesse hat, sich zu täuschen, sondern auch für den Arbeiter. Mit der Verwandlung der Werte in Produktionspreise wird die Grundlage der Wertbestimmung selbst dem Auge entrückt. Endlich: Wenn bei der bloßen Verwandlung von Mehrwert in Profit der Wertteil der Waren, der den Profit bildet, dem andren Wertteil gegenübertritt als dem Kostpreis der Ware, so daß hier schon der Begriff des Werts dem Kapitalisten abhanden kommt, weil er nicht die Gesamtarbeit vor sich hat, die die Produktion der Ware kostet, sondern nur den Teil der Gesamtarbeit, den er in der Form von Produktionsmitteln, lebendigen oder toten, bezahlt hat, und ihm so der Profit als etwas außerhalb des immanenten Werts der Ware Stehendes erscheint - so wird jetzt diese Vorstellung vollständig bestätigt, befestigt, verknöchert, indem der zum Kostpreis zugeschlagne Profit in der Tat, wenn man die besondre Produktionssphäre betrachtet, nicht durch die Grenzen der in ihr selbst vorgehenden Wertbildung bestimmt, sondern ganz äußerlich dagegen festgesetzt ist.
a redistribution, behind his back

It is now only by chance if the surplus-value actually produced in a particular sphere of production — and so its profit — coincides with the profit contained in the commodity's selling price. As a rule, profit and surplus-value, and not just their rates, are now really different magnitudes. Given a certain degree of exploitation of labour, the mass of surplus-value produced in a particular sphere of production now matters more for the total average profit of social capital — that is, for the capitalist class as a whole — than it matters directly for the capitalist within that particular branch of production. It matters to him only in so far as the quantity of surplus-value produced in his own branch has a part in setting the average profit. But this is a process that goes on behind his back: he does not see it, does not understand it, and it does not in fact interest him.

The real difference in magnitude between profit and surplus-value — not just between their rates — in the particular spheres of production now completely hides the true nature and origin of profit, not only for the capitalist, who here has a particular interest in deceiving himself, but for the worker too. With the transformation of values into prices of production, the very basis for determining value is removed from view.

Finally: in the mere transformation of surplus-value into profit, the part of the commodity's value that forms the profit already stands opposed to the other part of its value as the commodity's cost price. At that point the concept of value is already slipping away from the capitalist, because he does not have in front of him the total labour that the commodity's production costs, but only the part of that total labour which he has paid for, in the form of means of production, dead or living — so that profit appears to him as something standing outside the commodity's immanent value. This idea is now fully confirmed, cemented, set hard, because the profit added on to the cost price is, in fact, looking at the particular sphere of production, not fixed by the limits of the value-formation going on inside that sphere itself, but set quite externally against it.

Der Umstand, daß hier zum erstenmal dieser innere Zusammenhang enthüllt ist; daß, wie man aus dem Folgenden und aus Buch IV sehn wird, die bisherige Ökonomie entweder gewaltsam von den Unterschieden zwischen Mehrwert und Profit, Mehrwertsrate und Profitrate abstrahierte, um die Wertbestimmung als Grundlage festhalten zu können, oder aber mit dieser Wertbestimmung allen Grund und Boden wissenschaftlichen Verhaltens aufgab, um an jenen in der Erscheinung auffälligen Unterschieden festzuhalten - diese Verwirrung der Theoretiker zeigt am besten, wie der im Konkurrenzkampf befangne, seine Erscheinungen in keiner Art durchdringende praktische Kapitalist durchaus unfähig sein muß, durch den Schein hindurch das innere Wesen und die innere Gestalt dieses Prozesses zu erkennen.
the theorists' two failed escapes

This inner connection is revealed here for the first time. And previous economics, as later chapters and Volume 4 will show, either forcibly abstracted from the differences between surplus-value and profit, and between the rate of surplus-value and the rate of profit, in order to hold on to the determination of value as its basis, or else gave up the determination of value altogether, sacrificing the whole ground of scientific method, in order to hold on to those differences that stand out so plainly in appearance. This confusion among the theorists shows, better than anything else, how the practical capitalist, caught up in the fight of competition and unable to see through the appearances that struggle throws up, must be utterly incapable of seeing through the surface appearance to the inner essence and inner shape of this process.

Alle im ersten Abschnitt entwickelten Gesetze über Steigen und Fallen der Profitrate haben in der Tat die folgende doppelte Bedeutung:
a double meaning announced

All the laws about the rise and fall of the rate of profit developed in the first Part in fact carry the following double meaning:

1. Einerseits sind sie die Gesetze der allgemeinen Profitrate. Bei den vielen verschiednen Ursachen, welche nach dem Entwickelten die Profitrate steigen oder fallen machen, sollte man glauben, daß die allgemeine Profitrate jeden Tag wechseln müßte. Aber die Bewegung in einer Produktionssphäre wird die in der andern aufheben, die Einflüsse kreuzen und paralysieren sich. Wir werden später untersuchen, nach welcher Seite die Schwankungen in letzter Instanz hinstreben; aber sie sind langsam; die Plötzlichkeit, Vielseitigkeit und verschiedne Dauer der Schwankungen in den einzelnen Produktionssphären macht, daß sie sich zum Teil in ihrer Reihenfolge in der Zeit kompensieren, so daß Preisfall auf Preissteigerung folgt und umgekehrt, daß sie also lokal, d.h. auf die besondre Produktionssphäre beschränkt bleiben; endlich, daß die verschiednen lokalen Schwankungen sich wechselseitig neutralisieren. Es finden innerhalb jeder besondren Produktionssphäre Wechsel statt, Abweichungen von der allgemeinen Profitrate, die sich einerseits in einem bestimmten Zeitraum ausgleichen und daher nicht auf die allgemeine Profitrate zurückwirken; und die andrerseits wieder nicht auf sie zurückwirken, weil sie durch andre gleichzeitige lokale Schwankungen aufgehoben werden. Da die allgemeine Profitrate bestimmt ist nicht nur durch die Durchschnittsprofitrate in jeder Sphäre, sondern auch durch die Verteilung des Gesamtkapitals auf die verschiednen besondren Sphären, und da diese Verteilung beständig wechselt, so ist dies wieder eine beständige Ursache des Wechsels in der allgemeinen Profitrate - aber eine Ursache des Wechsels, die wiederum, bei der Ununterbrochenheit <1. Auflage: Unterbrochenheit> und Allseitigkeit dieser Bewegung, großenteils sich selbst wieder paralysiert.
the general rate moves slowly

(1) On the one hand they are the laws of the general rate of profit itself. Given the many different causes that, on the argument so far, make the rate of profit rise or fall, one might expect the general rate of profit to change every day. But the movement in one sphere of production cancels out the movement in another — the influences cross and paralyse each other.

We will look later at which way these fluctuations tend in the end; but they are slow. Because the fluctuations in the different spheres of production are sudden, many-sided, and of different lengths, they partly offset each other in their sequence over time, so that a fall in price follows a rise and the other way round — which keeps them local, confined to their own particular sphere of production. And finally, the various local fluctuations neutralize one another.

Within each particular sphere of production there are changes, departures from the general rate of profit, which on one hand even out again over a given stretch of time and so do not feed back into the general rate; and which on the other hand also do not feed back into it because other local fluctuations happening at the same time cancel them out. Since the general rate of profit is fixed not only by the average rate of profit in each sphere but also by how the total capital is distributed across the different particular spheres, and since that distribution keeps changing, this is itself a constant cause of change in the general rate — but a cause of change which, given how unbroken and many-sided this movement is, for the most part paralyses itself all over again.

2. Innerhalb jeder Sphäre ist ein Spielraum gegeben für kürzere oder längere Epoche, wo die Profitrate dieser Sphäre schwankt, bevor sich dies Schwanken, nach Steigen oder Fallen, hinreichend konsolidiert, um Zeit zu gewinnen zur Einwirkung auf die allgemeine Profitrate und daher zur Erreichung von mehr als lokaler Bedeutung. Innerhalb solcher räumlichen und zeitlichen Grenzen gelten daher ebenfalls die im ersten Abschnitt dieses Buchs entwickelten Gesetze der Profitrate.
local swings before they count

(2) Within each sphere there is room, for a shorter or longer stretch of time, for that sphere's own rate of profit to fluctuate before the fluctuation, whether rising or falling, settles down enough to have time to affect the general rate of profit and so reach beyond merely local significance. Within those limits of space and time, then, the laws of the rate of profit developed in the first Part of this volume also hold good.

Die theoretische Ansicht - bei der ersten Verwandlung des Mehrwerts in Profit -, daß jeder Teil des Kapitals gleichmäßig Profit abwerfe25, drückt eine praktische Tatsache aus. Wie immer das industrielle Kapital zusammengesetzt sei, ob es ein Viertel tote Arbeit und drei Viertel lebendige Arbeit oder drei Viertel tote Arbeit und ein Viertel lebendige Arbeit in Bewegung setzt, ob es in dem einen Fall dreimal soviel Mehrarbeit einsaugt oder Mehrwert produziert als in dem andren - bei gleichem Exploitationsgrad der Arbeit und abgesehn von individuellen Unterschieden, die ohnehin verschwinden, weil wir beide Male nur die Durchschnittszusammensetzung der ganzen Produktionssphäre vor uns haben -, in beiden Fällen wirft es gleich viel Profit ab. Der einzelne Kapitalist (oder auch die Gesamtheit der Kapitalisten in jeder besondren Produktionssphäre), dessen Blick borniert ist, glaubt mit Recht, daß sein Profit nicht allein aus der von ihm oder in seinem Zweig beschäftigten Arbeit herstamme. Es ist dies ganz richtig für seinen Durchschnittsprofit. Wieweit dieser Profit vermittelt ist durch die Gesamtexploitation der Arbeit durch das Gesamtkapital, d.h. durch alle seine Kapitalistengenossen, dieser Zusammenhang ist ihm ein vollständiges Mysterium, um so mehr, als selbst die Bourgeoistheoretiker, die politischen Ökonomen, es bis jetzt nicht enthüllt hatten. Ersparung an Arbeit - nicht nur an der Arbeit, notwendig um ein bestimmtes Produkt zu produzieren, sondern auch an der Anzahl der beschäftigten Arbeiter - und größre Anwendung toter Arbeit (konstantes Kapital) erscheint als ökonomisch ganz richtige Operation und scheint von vornherein in keiner Weise die allgemeine Profitrate und den Durchschnittsprofit anzugreifen. Wie sollte daher die lebendige Arbeit ausschließliche Quelle des Profits sein, da Verminderung der zur Produktion nötigen Menge Arbeit nicht nur nicht den Profit anzugreifen scheint, sondern vielmehr unter gewissen Umständen als nächste Quelle zur Vermehrung des Profits erscheint, wenigstens für den einzelnen Kapitalisten?
right about his average profit

The theoretical opinion — about the first transformation of surplus-value into profit — that every part of the capital throws off profit equally, expresses a practical fact. In both cases an industrial capital throws off the same amount of profit. However it is composed, whether it sets in motion a quarter dead labour and three-quarters living labour, or three-quarters dead labour and a quarter living labour; whether in one case it draws in three times as much surplus labour, or produces three times as much surplus-value, as in the other — the profit is the same, at an equal degree of exploitation of labour, and setting aside individual differences that vanish anyway, since in both cases we only have the average composition of the whole sphere of production in front of us.

The individual capitalist (or, equally, the whole body of capitalists in any particular sphere of production), whose view is narrow, rightly believes that his profit does not come solely from the labour he employs, or that is employed in his own branch. This is quite correct for his average profit. But how far this profit is mediated by the total exploitation of labour by the total capital — that is, by all his fellow capitalists together — is a complete mystery to him, all the more so because even the bourgeois theorists, the political economists, had not yet uncovered it.

Saving on labour — not only on the labour needed to produce a given product, but also on the number of workers employed — together with a greater use of dead labour, that is, constant capital, appears to be an economically quite sound operation, and seems from the outset not to touch the general rate of profit and the average profit in any way. So how, then, could living labour be the exclusive source of profit, given that reducing the amount of labour needed for production not only does not seem to touch profit, but under certain circumstances even appears as the nearest source of increasing it — at least for the individual capitalist?

Wenn in einer gegebnen Produktionssphäre der Teil des Kostpreises steigt oder fällt, der den Wert des konstanten Kapitals repräsentiert, so kommt dieser Teil aus der Zirkulation her und geht von vornherein vergrößert oder verkleinert in den Produktionsprozeß der Ware ein. Wenn andrerseits die angewandte Arbeiteranzahl in derselben Zeit mehr oder weniger produziert, also bei gleichbleibender Arbeiteranzahl das zur Produktion einer bestimmten Warenmenge erheischte Arbeitsquantum wechselt, so mag der Teil des Kostpreises, der den Wert des variablen Kapitals repräsentiert, derselbe bleiben, also mit gleicher Größe in den Kostpreis des Gesamtprodukts eingehn. Aber auf jede einzelne von den Waren, deren Summe das Gesamtprodukt ausmacht, fällt mehr oder weniger Arbeit (bezahlte und daher auch unbezahlte), also auch mehr oder weniger von der Ausgabe für diese Arbeit, größeres oder kleineres Stück des Lohns. Der vom Kapitalisten gezahlte Gesamtlohn bleibt derselbe, aber er ist ein andrer, auf jedes Stück Ware berechnet. Hier träte also Änderung ein in diesem Teil des Kostpreises der Ware. Ob nun der Kostpreis der einzelnen Ware infolge solcher Wertveränderungen, sei es in ihr selbst, sei es in ihren Warenelementen (oder auch der Kostpreis der Summe der von einem Kapital von gegebner Größe produzierten Waren) steigt oder fällt: ist der Durchschnittsprofit z.B. 10%, so bleibt er 10%; obgleich 10%, die einzelne Ware betrachtet, eine sehr verschiedne Größe darstellt, je nach dem, durch den vorausgesetzten Wertwechsel hervorgebrachten, Größenwechsel im Kostpreis der einzelnen Ware.26
cost price shifts, average profit holds

If, in a given sphere of production, the part of the cost price that represents the value of the constant capital rises or falls, that part comes in from circulation and enters the commodity's production process already enlarged or reduced from the outset. If, on the other hand, the same number of workers produces more or less in the same time — so that, with the number of workers unchanged, the amount of labour needed to produce a given quantity of commodities changes — then the part of the cost price representing the value of the variable capital may stay the same, entering the cost price of the whole product at the same total size. But each single commodity making up that whole product now carries more or less labour (paid, and therefore also unpaid), and so more or less of the outlay for that labour — a bigger or smaller slice of the wage. The total wage paid by the capitalist stays the same, but reckoned per piece of commodity it is different. So a change would occur here in this part of the commodity's cost price.

Now it makes no difference whether the cost price of the individual commodity rises or falls because of such changes in value — whether in the commodity itself or in the commodities forming its elements (or whether the cost price of the whole quantity of commodities produced by a capital of a given size rises or falls) — if the average profit is, say, 10 per cent, it stays 10 per cent; even though, looked at for the individual commodity, that 10 per cent represents a very different amount, depending on the change in size that the presupposed change in value has produced in the cost price of the individual commodity.

Mit Bezug auf das variable Kapital - und dies ist das wichtigste, weil es die Quelle des Mehrwerts und weil alles, was sein Verhältnis zur Bereicherung des Kapitalisten verdeckt, das ganze System mystifiziert - vergröbert sich die Sache oder erscheint sie dem Kapitalisten so: ein variables Kapital von 100 Pfd.St. stelle z.B. den Wochenlohn von 100 Arbeitern vor. Wenn diese 100, bei gegebnem Arbeitstag, ein wöchentliches Produkt von 200 Stück Waren produzieren = 200 W, so kostet 1 W - abstrahiert von dem Teil des Kostpreises, den das konstante Kapital zusetzt - da 100 Pfd.St. = 200W, 1 W = 100 Pfd.St. / 200 = 10 Schill. Gesetzt nun, es träte Wechsel in der Produktivkraft der Arbeit ein; sie verdopple sich, dieselbe Anzahl Arbeiter produziere in derselben Zeit zweimal 200 W, worin sie früher 200 W produzierte. In diesem Fall kostet (soweit der Kostpreis aus bloßem Arbeitslohn besteht), da jetzt 100 Pfd.St. = 400 W, 1 W = 100 Pfd.St. / 400 = 5 Schill. Verminderte sich die Produktivkraft um die Hälfte, so würde dieselbe Arbeit nur noch 200 W / 2 produzieren; und da 100 Pfd.St. = 200 W / 2, nun 1 W = 200 Pfd.St. / 200 = 1 Pfd.St. Die Wechsel in der zur Produktion der Waren erheischten Arbeitszeit und daher in ihrem Wert, erscheinen jetzt mit Bezug auf den Kostpreis und daher auch den Produktionspreis als verschiedne Verteilung desselben Arbeitslohns über mehr oder weniger Waren, je nachdem in derselben Arbeitszeit für denselben Arbeitslohn mehr oder weniger Waren produziert werden. Was der Kapitalist und daher auch der politische Ökonom sieht, ist, daß der Teil der bezahlten Arbeit, der auf die Ware per Stück fällt, sich mit der Produktivität der Arbeit ändert und damit auch der Wert jedes einzelnen Stücks; er sieht nicht, daß dies ebenfalls der Fall ist mit der in jedem Stück enthaltnen unbezahlten Arbeit, um so weniger, da der Durchschnittsprofit in der Tat durch die in seiner Sphäre absorbierte unbezahlte Arbeit nur zufällig bestimmt ist. Nur in solch vergröberter und begriffsloser Form scheint jetzt noch die Tatsache durch, daß der Wert der Waren durch die in ihnen enthaltne Arbeit bestimmt ist.
wages per piece, as it appears

With variable capital — and this is the most important case, because variable capital is the source of surplus-value, and anything that hides its relation to how the capitalist gets richer mystifies the whole system — the situation looks cruder, or this is how it appears to the capitalist: a variable capital of £100, say, represents the weekly wage of 100 workers.

If these 100 workers, in a given working day, produce a weekly product of 200 pieces of commodities = 200C, then — leaving aside the part of the cost price added by the constant capital — since £100 = 200C, 1C costs £100/200 = 10 shillings. Now suppose the productive power of labour changes: it doubles, so the same number of workers produces, in the same time, twice 200C, that is, 400C, where they used to produce 200C. In this case — so far as the cost price consists simply of wages — since now £100 = 400C, 1C costs £100/400 = 5 shillings. If the productive power fell by half instead, the same labour would produce only 200C/2; and since £100 = 200C/2, 1C now costs £200/200 = £1.

Changes in the labour-time needed to produce the commodities, and so in their value, now appear, with respect to the cost price and therefore also the price of production, as nothing but a different distribution of the same wages over more or fewer commodities, depending on whether the same labour-time, for the same wages, produces more or fewer commodities.

What the capitalist — and so also the political economist — sees is that the part of the paid labour falling on each piece of the commodity changes with the productive power of labour, and with it the value of each single piece. What he does not see is that the same is true of the unpaid labour contained in each piece — all the less so, since his average profit is in fact only accidentally determined by the unpaid labour absorbed in his own sphere. Only in such a crude, conceptless form does the fact still show through: that the value of commodities is determined by the labour contained in them.

Kap. 9
Five Spheres of Production, the Average Rate of Profit, and the Price of Production
The preceding chapter proved that capitals of unequal composition must earn unequal rates of profit at one and the same degree of exploitation, and closed by conceding how it looks: that this leaves the theory of value stranded, since capitals of equal size do in fact earn about equally. The answer begins here, and it begins by working the inequality out in figures.
At any one given time, the organic composition of capital depends on two factors: firstly, on the technical proportion between the labour-power and the means of production applied, and secondly, on the price of those means of production. As we have seen, this must be considered in percentage terms. We express the organic composition of a capital that consists of four-fifths constant and one-fifth variable capital by using the formula 80c + 20v. We also assume for the sake of comparison an unchanged rate of surplus-value, say 100 per cent; any rate will do. The capital of 80c + 20v then yields a surplus-value of 20s, which makes a rate of profit of 20 per cent on the total capital. The actual value of the product depends on how large the fixed part of the constant capital is and on how much of it goes into the product as depreciation, how much does not. But since this fact is completely immaterial as far as the rate of profit is concerned, and thus also for the present investigation, we shall assume for the sake of simplicity that in all cases the constant capital enters as a whole into the annual product of these capitals. We shall also assume that capitals in different spheres of production annually realize the same amount of surplus-value in proportion to the size of their variable components; and we shall ignore for the time being the differences that may be produced here by variation in the turnover times. This point will be dealt with later.
the two determinants, and the premises

The organic composition of capital depends, at any given moment, on two things: first, the technical proportion between the labour-power and the mass of means of production applied; second, the price of those means of production. As we have seen, it has to be looked at as a percentage. A capital made up of four-fifths constant capital and one-fifth variable capital we write as 80c + 20v.

For comparing spheres, we also hold the rate of surplus-value fixed — some arbitrary rate, say 100 per cent, the same everywhere. A capital of 80c + 20v then throws off surplus-value of 20s, which works out to a rate of profit of 20 per cent on the whole capital.

How much the product is actually worth depends on how large the fixed part of the constant capital is, and on how much of it goes into the product each year as depreciation and how much does not. But that makes no difference to the rate of profit, so to keep things simple we assume the whole of the constant capital, in every case alike, passes into the year's product. We also assume that capitals in different spheres realize the same amount of surplus-value each year in proportion to the size of their variable part — for now we set aside the difference that unequal turnover times could make here. That point comes later.

Let us take five different spheres of production, each with a different organic composition for the capital invested in it, as on the following page.
five spheres set up

Let's take five different spheres of production, each with capitals of a different organic composition invested in them, set out as follows:

Capitals Rate of surplus-value Surplus-value Value of product Rate of profit
I. 80c + 20v 100% 20 120 20%
II. 70c + 30v 100% 30 130 30%
III. 60c + 40v 100% 40 140 40%
IV. 85c + 15v 100% 15 115 15%
V. 95c + 5v 100% 5 105 5%
Capitals Rate of surplus-value Surplus-value Value of product Rate of profit
I. 80c + 20v 100% 20 120 20%
II. 70c + 30v 100% 30 130 30%
III. 60c + 40v 100% 40 140 40%
IV. 85c + 15v 100% 15 115 15%
V. 95c + 5v 100% 5 105 5%
We now have very different rates of profit in different spheres of production with a uniform exploitation of labour, rates which correspond to the differing organic composition of the capitals involved.
same exploitation, different profit rates

In these five spheres of production, with a uniform exploitation of labour, we get very different rates of profit, matching the different organic composition of the capitals.

The total sum of the capitals applied in the five spheres is 500; the total sum of the surplus-value they produce 110; the total value of the commodities they produce 610. If we treat the 500 as one single capital, with I-V simply forming different portions of it (as for instance a cotton mill will have different proportions between variable and constant capital in its various departments, e.g. the carding, combing, spinning and weaving shops, and the average proportion has to be calculated for the entire factory), then the average composition of the capital of 500 would be 500 = 390c + 110v, or in percentages 78c + 22v. Treating the capitals of 100 as each simply a fifth of the total capital, its composition would be this average one of 78c + 22v; in the same way the average surplus-value of 22 would accrue to each of these capitals of 100, the average rate of profit would thus be 22 per cent, and the price of each fifth of the total product produced by this capital of 500 would be 122. The product of each fifth of the total capital advanced would thus have to be sold at 122.
the 500 as one capital

The capitals invested in the five spheres come to 500 in all; the surplus-value they produce comes to 110; the value of the commodities they produce comes to 610.

Suppose we treat this 500 as a single capital, of which spheres I to V are simply different parts — the way a cotton mill has different ratios of variable to constant capital in its different departments, the carding room, the roving room, the spinning room, the weaving room, and the average ratio for the whole mill has to be worked out separately. On that supposition, the average composition of the capital of 500 would be 390c + 110v, or as a percentage 78c + 22v. Each capital of 100, looked at as one-fifth of the total capital, would have this same average composition of 78c + 22v; likewise each 100 would carry an average surplus-value of 22; so the average rate of profit would be 22 per cent, and the price of each fifth of the total product made by the 500 would be 122. The product of each fifth of the capital advanced would have to sell at 122.

Yet in order not to arrive at totally incorrect conclusions, we must not take all the cost prices as 100.
not every cost price is 100

But to avoid drawing completely wrong conclusions, we cannot reckon all the cost prices at 100.

With 80c + 20v, and a rate of surplus-value of 100 per cent, the total value of the commodities produced by capital I would be 80c + 20v + 20s = 120, assuming the entire constant capital were to enter into the annual product. This may well be the case in some spheres of production, in certain conditions, but hardly with a ratio between c and v of 4:1. In considering the values of the commodities produced by each different capital of 100, therefore, we must take into account the fact that they differ according to the different composition of c in terms of its fixed and circulating components, and that the fixed components of different capitals may themselves depreciate either faster or more slowly and thus add unequal quantities of value to the product in the same period. This is immaterial, however, as far as the profit rate is concerned. Whether the 80c gives up its value of 80 to the annual product, or 50, or 5, and whether the annual product is accordingly 80c + 20v + 20s = 120, or 50c + 20v + 20s = 90, or 5c + 20v + 20s = 45, in all these cases the excess of the value of the product over its cost price is 20, and in all these cases this 20 has to be calculated on a basis of 100 to arrive at the rate of profit; the profit rate of capital I is thus always 20 per cent. In order to make this still clearer, we can let different parts of the constant capital enter the value of the product, taking the same five capitals as above:
20 per cent, whatever c contributes

With 80c + 20v and a rate of surplus-value of 100 per cent, the total value of the commodity produced by capital I, a capital of 100, would be 80c + 20v + 20s = 120, if the whole of the constant capital passed into the year's product. Now this might well happen in some spheres of production. But it can hardly happen where the ratio of c to v is 4 to 1.

So when we look at the values of the commodities produced by each 100 of the various capitals, we have to bear in mind that these values will differ according to how c is split between fixed and circulating parts, and that the fixed parts of different capitals themselves depreciate faster or more slowly, adding unequal amounts of value to the product in equal periods of time. But none of this makes any difference to the rate of profit. Whether the 80c transfers a value of 80, or 50, or 5, to the year's product — whether the year's product is 80c + 20v + 20s = 120, or 50c + 20v + 20s = 90, or 5c + 20v + 20s = 45 — in every one of these cases the excess of the value of the product over its cost price is 20, and in every one of these cases, when the rate of profit is worked out, that 20 is reckoned on a capital of 100. So the rate of profit of capital I is 20 per cent in every case.

To make this still clearer, the following table lets different parts of the constant capital pass into the value of the product, for the same five capitals as before.

Capitals Rate of surplus-value Surplus-value Rate of profit Used up c Value of commodities Cost price
I. 80c + 20v 100% 20 20% 50 90 70
II. 70c + 30v 100% 30 30% 51 111 81
III. 60c + 40v 100% 40 40% 51 131 91
IV. 85c + 15v 100% 15 15% 40 70 55
V. 95c + 5v 100% 5 5% 10 20 15
Capitals Rate of surplus-value Surplus-value Rate of profit Used up c Value of commodities Cost price
I. 80c + 20v 100% 20 20% 50 90 70
II. 70c + 30v 100% 30 30% 51 111 81
III. 60c + 40v 100% 40 40% 51 131 91
IV. 85c + 15v 100% 15 15% 40 70 55
V. 95c + 5v 100% 5 5% 10 20 15
390c + 110v — 110 110% — — — Total
78c + 22v — 22 22% — — — Average
If we again treat capitals I-V as a single total capital, we see that in this case, too, the sum of the five capitals, 500 = 390c + 110v, remains the same in composition, and thus their average composition is still 78c + 22v; the average surplus-value is therefore 22. If this surplus-value were evenly distributed among capitals I-V, we would arrive at the following commodity prices:
same average, now redistributed

Looking at capitals I to V once more as a single total capital, we find that in this case too the composition of the sum of the five capitals, 500 = 390c + 110v, stays the same, so the average composition is still 78c + 22v and the average surplus-value is still 22. Distributing this surplus-value evenly over I to V gives the following commodity prices:

Capitals Surplus-value Value of commodities Cost-price of commodities Price of commodities Rate of profit Divergence of price from value
I. 80c + 20v 20 90 70 92 22% + 2
II. 70c + 30v 30 111 81 103 22% - 8
III. 60c + 40v 40 131 91 113 22% - 18
IV. 85c + 15v 15 70 55 77 22% + 7
V. 95c + 5v 5 20 15 37 22% + 17
Capitals Surplus-value Value of commodities Cost-price of commodities Price of commodities Rate of profit Divergence of price from value
I. 80c + 20v 20 90 70 92 22% + 2
II. 70c + 30v 30 111 81 103 22% - 8
III. 60c + 40v 40 131 91 113 22% - 18
IV. 85c + 15v 15 70 55 77 22% + 7
V. 95c + 5v 5 20 15 37 22% + 17
Taken together, commodities are sold at 2 + 7 + 17 = 26 above their value, and 8 + 18 = 26 below their value, so that the divergences of price from value indicated above cancel each other out when surplus-value is distributed evenly, i.e. through adding the average profit of 22 on the capital advance of 100 to the respective cost prices of commodities I-V. To the same extent that one section of commodities is sold above its value, another is sold below it. And it is only because they are sold at these prices that the rates of profit for capitals I-V are equal at 22 per cent, irrespective of their different organic compositions. The prices that arise when the average of the different rates of profit is drawn from the different spheres of production, and this average is added to the cost prices of these different spheres of production, are the prices of production. Their prerequisite is the existence of a general rate of profit, and this presupposes in turn that the profit rates in each particular sphere of production, taken by itself, are already reduced to their average rates. These particular rates are in each sphere of production and are to be developed from the value of the commodity as shown in the first Part of this volume. In the absence of such a development, the general rate of profit (and hence also the production price of the commodity) remains a meaningless and irrational conception. Thus the production price of a commodity equals its cost price plus the percentage profit added to it in accordance with the general rate of profit, its cost price plus the average profit.
how prices of production arise

Taken together, the commodities are sold at 2 + 7 + 17 = 26 above their value and 8 + 18 = 26 below it, so that by spreading the surplus-value evenly — or by adding to the respective cost prices of commodities I to V the average profit of 22 per 100 of capital advanced — the divergences of price from value cancel each other out exactly: to the same extent that one part of the commodities is sold above its value, another is sold below it. It is only by selling at these prices that the rate of profit can come out the same for I to V, at 22 per cent, regardless of the different organic composition of capitals I to V.

The prices that arise when the average is taken of the different rates of profit in the different spheres of production, and this average is added to the cost prices of the different spheres of production, are the prices of production. They presuppose the existence of a general rate of profit, and that in turn presupposes that the rates of profit in each particular sphere of production, taken on its own, have already been reduced to just as many average rates. These particular rates of profit are, in each sphere of production, equal to s/C — the sphere's own surplus-value divided by its own total capital — and have to be developed out of the value of the commodity, as was done in the first Part of this volume. Without that derivation, the general rate of profit — and with it the production price of the commodity — remains a notion without sense or content.

The production price of a commodity is, then, equal to its cost price plus the profit added to it as a percentage, in line with the general rate of profit — or equal to its cost price plus the average profit.

As a result of the differing organic composition of capitals applied in different branches of production, as a result therefore of the circumstance that according to the different percentage that the variable part forms in a total capital of a given size, very different amounts of labour are set in motion by capitals of equal size, so too very different amounts of surplus labour are appropriated by these capitals, or very different amounts of surplus-value are produced by them. The rates of profit prevailing in the different branches of production are accordingly originally very different. These different rates of profit are balanced out by competition to give a general rate of profit which is the average of all these different rates. The profit that falls to a capital of given size according to this general rate of profit, whatever its organic composition might be, we call the average profit. That price of a commodity which is equal to its cost price, plus the part of the annual average profit on the capital applied in its production (not simply the capital consumed in its production) that falls to its share according to its conditions of turnover, is its price of production. Let us take for example a capital of 500, of which 100 is fixed capital, 10 per cent of this being the depreciation of a circulating capital of 400 during one turnover period. Let the average profit for the duration of this turnover period be 10 per cent. The cost price of the product produced during this turnover is then 10c for depreciation plus 400 (c + v) circulating capital = 410, and its price of production 410 cost price plus 50 (10 per cent profit on 500) = 460.
average profit, worked example

Because capitals invested in different branches of production have different organic compositions, capitals of the same size set very different quantities of labour in motion, depending on what percentage of a given total capital is variable — so they appropriate very different quantities of surplus labour, and produce very different amounts of surplus-value. Correspondingly, the rates of profit prevailing in different branches of production start out very different.

These different rates of profit are balanced out by competition into a general rate of profit, which is the average of all these different rates. The profit that falls, at this general rate, on a capital of a given size — whatever that capital's organic composition — is called the average profit. A commodity's price of production is its cost price plus the share of the annual average profit that falls to it in proportion to its conditions of turnover — a share reckoned on the capital applied in its production (not merely the capital consumed in its production).

Let us take, for example, a capital of 500, of which 100 is fixed capital, depreciating by 10 per cent during one turnover period of the circulating capital of 400. Suppose the average profit for the length of this turnover period is 10 per cent. Then the cost price of the product made during this turnover will be: 10c for depreciation plus 400 (c + v) circulating capital = 410; and its price of production: 410 cost price plus 50 (10 per cent profit on 500) = 460.

Thus although the capitalists in the different spheres of production get back on the sale of their commodities the capital values consumed to produce them, they do not secure the surplus-value and hence profit that is produced in their own sphere in connection with the production of these commodities. What they secure is only the surplus-value and hence profit that falls to the share of each aliquot part of the total social capital, when evenly distributed, from the total social surplus-value or profit produced in a given time by the social capital in all spheres of production. For each 100 units, every capital advanced, whatever may be its composition, draws in each year, or in any other period of time, the profit that accrues to 100 units in this period of time as an nth part of the total capital. The various different capitals here are in the position of shareholders in a joint-stock company, in which the dividends are evenly distributed for each 100 units, and hence are distinguished, as far as the individual capitalists are concerned, only according to the size of the capital that each of them has put into the common enterprise, according to his relative participation in this common enterprise, according to the number of his shares. While the portion of this commodity price that replaces the parts of the capital that are consumed in the production of the commodities, and with which these capital values must be bought back again — while this portion, the cost price, is completely governed by the outlay within each respective sphere of production, the other component of commodity price, the profit that is added to this cost price, is governed not by the mass of profit that is produced by this specific capital in its specific sphere of production, but by the mass of profit that falls on average to each capital invested, as an aliquot part of the total social capital invested in the total production, during a given period of time. 22
a share, not the sphere's own

So although capitalists in different spheres of production recover, when they sell their commodities, the capital values consumed in producing them, they do not cash in the surplus-value — and so the profit — produced in their own sphere in producing those commodities. They cash in only as much surplus-value, and so profit, as falls to them when the total surplus-value — the total profit — produced in a given period by the total capital of society across all spheres of production taken together is distributed equally over every aliquot part, every equal slice, of that total capital. Whatever its composition, every capital advanced draws, per 100, in each year or other period, the profit that falls for that period on 100 as whatever fraction of the total capital that 100 happens to be. Here, as far as profit is concerned, the different capitalists behave like mere shareholders in a joint-stock company, where the dividends are distributed evenly per 100 and so differ between the various capitalists only by the size of the capital each has put into the joint undertaking, by his proportional stake in it, by the number of his shares.

So while the part of a commodity's price that replaces the portions of capital value consumed in producing the commodities, and with which those consumed capital values have to be bought back — the cost price — is governed entirely by the outlay within the particular sphere of production, the other component of the commodity's price, the profit added onto that cost price, is not governed by the mass of profit actually produced by this particular capital in this particular sphere of production during a given time, but by the mass of profit that falls, on average during a given period, on every capital applied, as an aliquot part of the total social capital applied in production as a whole.

If a capitalist sells his commodities at their price of production, he withdraws money according to the value of the capital that he consumed in their production and adds a profit to this in proportion to the capital he advanced as a mere aliquot part of the total social capital. His cost prices are specific [to his sphere of production]. But the profit on top of this cost price is independent of his particular sphere of production, it is a simple average per 100 units of capital advanced.
specific cost prices, uniform profit

So when a capitalist sells a commodity at its price of production, he draws back money in proportion to the value of the capital he consumed in producing it, and he pockets profit in proportion to his capital advanced, treated simply as an aliquot part of the total social capital. His cost prices are specific to his own production. But the profit added onto that cost price is independent of his particular sphere of production — it is simply the average per 100 of the capital advanced.

Let us suppose that the five different capital investments in the above example, I-V, belong to one and the same person. The variable and constant capital consumed in the production of the commodities in each particular investment I-V would be given, and this share in the value of commodities I-V would obviously form a portion of their price, since this is the least price required to replace the portion of capital that is advanced and consumed. These cost prices would thus be different for each kind of commodity I-V and would be fixed differently by the proprietor. As far as the different masses of surplus-value or profit produced in I-V were concerned, however, the capitalist might very well count them all as profit on the total capital he advanced, so that a definite aliquot part would fall to each capital of 100. The cost prices would therefore be different for each of the commodities produced in the individual investments I-V; but the share of the sale price that arose from the profit added per 100 units of capital would be the same. The total price of commodities I-V would thus be the same as their total value, i.e. the sum of the cost prices I-V plus the sum of the surplus-value or profit produced; in point of fact, therefore, the monetary expression for the total quantity of labour, both past and newly added, contained in commodities I-V. And in the same manner, the sum of prices of production for the commodities produced in society as a whole — taking the totality of all branches of production — is equal to the sum of their values.
the sums are equal for society

Suppose the five different capital investments I to V in the previous example belonged to one man. How much variable and constant capital was consumed, per 100 of capital applied, in producing the commodities in each single investment I to V, would be given; and this portion of the value of commodities I to V would obviously form part of their price, since the price must at the very least replace the part of the capital advanced and consumed. So the cost prices would differ for each kind of commodity from I to V, and the owner would fix them differently for each. But as for the different masses of surplus-value or profit produced in I to V, the capitalist could quite well reckon them as profit on his total capital advanced, so that a fixed aliquot part fell on every 100 of capital. So the cost prices of the commodities produced in the separate investments I to V would differ; but the part of the selling price that came from the profit added per 100 of capital would be the same for all these commodities. The total price of commodities I to V would then be equal to their total value — that is, equal to the sum of the cost prices of I to V plus the sum of the surplus-value or profit produced in I to V; in other words, the money expression for the total quantity of labour, past and newly added, contained in commodities I to V.

And this is how, in society itself — considering the totality of all branches of production — the sum of the prices of production of the commodities produced is equal to the sum of their values.

Kap. 9
The Cost-Price Objection, the Weight of the Spheres, and the Modified Cost Price
The definition just reached adds an average profit on top of a cost price. But cost prices are made of things bought from other spheres of production at their own prices, which already carry profit in them, so the definition looks circular before it has been used once. This stretch answers that, and then says exactly what fixes the general rate of profit that average comes from.
This seems contradicted by the fact that the elements of productive capital are generally bought on the market in capitalist production, so that their prices include an already realized profit and accordingly include the production price of one branch of industry together with the profit contained in it, so that the profit in one branch of industry goes into the cost price of another. But if the sum of the cost prices of all commodities in a country is put on one side and the sum of the profits or surplus-values on the other, we can see that the calculation comes out right. Take for example a commodity A; its cost price may contain the profits of B, C, D, just as the profits of A may in turn go into B, C, D, etc. If we make this calculation, the profit of A will be absent from its own cost price, and the profits of B, C, D, etc. will be absent from theirs. None of them includes his own profit in his cost price. And so if there are n spheres of production, and in each of them a profit of p is made [and the symbol for the cost price of a single commodity is k], then the cost price in all together is k - np. Considering the calculation as a whole, to the same extent that the profits of one sphere of production go into the cost price of another, to that extent these profits have already been taken into account for the overall price of the final end-product and cannot appear on the profit side twice. They appear on this side only because the commodity in question was itself an end-product, so that its price of production does not go into the cost price of another commodity.
an apparent contradiction stated

It looks as if this conflicts with a fact: under capitalist production, the elements of productive capital are usually bought on the market, so their prices already contain a realized profit. On this reckoning those prices carry inside them another branch's production price together with the profit contained in it, so that the profit of one branch enters into the cost price of another.

But if we put the sum of the cost prices of all the commodities in a whole country on one side, and the sum of its profits, or surplus-values, on the other, it's clear the account has to come out right. Take a commodity A: its cost price may include the profits of B, C and D, just as A's profit may in turn enter into the cost prices of B, C, D, and so on.

English joined this paragraph
why no profit repeats

So when we draw up the account, A's own profit is missing from its own cost price, and the same holds for B, C, D and the rest: each one's profit is missing from its own cost price. No one counts their own profit into their own cost price.

So if there are, say, n spheres of production, and each one makes a profit equal to p, then across all of them together the cost price comes to k - np. Looking at the whole account: wherever one sphere's profits enter into another sphere's cost price, they have already been counted once, in the total price of the final product, and they cannot appear a second time on the profit side. If they do appear on that side, it is only because the commodity itself was the final product, so its price of production never went into another commodity's cost price.

If a certain sum p goes into the cost price of a commodity for the profit of the producers of the means of production and on this cost price a profit of p1 is added, the total profit P = p + p1. The total cost price of the commodity, discounting all portions of the price that count towards profit, is then its own cost price minus P. Using the symbol k again for this cost price, it is evident that k + P = k + p + p1. In dealing with surplus-value in Volume 1, Chapter 9, 2, pp. 331-2, we have already seen that the product of any capital can be treated as if one part simply replaces capital, while the other only represents surplus-value. To apply this method of reckoning to the total social product, we have to make certain rectifications, since, considering the whole society, the profit contained in the price of flax, for instance, cannot figure twice, not as both part of the price of the linen and as the profit of the flax producers.
the reckoning applied to society

Suppose a sum equal to p, for the profits of the producers of the means of production, enters into a commodity's cost price, and a further profit equal to p1 is then added on top of that cost price. The total profit is then P = p + p1. The commodity's total cost price, once every price-part that goes to profit is stripped out, is then its own cost price minus P. Call that cost price k, and it is clear that k + P = k + p + p1.

We saw earlier, in dealing with surplus-value in Volume 1, that the product of any capital can be treated as if one part merely replaces the capital and the other expresses only surplus-value. Apply that same reckoning to the whole product of society, and corrections have to be made: taking society as a whole, the profit contained in the price of flax, say, cannot figure twice over — once as part of the price of linen, and again as the flax producer's profit.

There is no distinction between profit and surplus-value when the surplus-value of A, for instance, goes into the constant capital of B. As far as the value of commodities is concerned, it is completely immaterial whether the labour contained in them is paid or unpaid. This shows only that B pays the surplus-value of A. In the total account, A’s surplus-value cannot figure twice.
value counts labour, not payment

There is no difference here between profit and surplus-value when A's surplus-value, say, enters into B's constant capital. For the value of commodities it makes no difference at all whether the labour contained in them is paid or unpaid labour. All this shows is that B pays A's surplus-value. In the account for the whole, A's surplus-value cannot count twice.

The distinction is rather this. Apart from the fact that the price of the product of capital B, for example, diverges from its value, because the surplus-value realized in B is greater or less than the profit added in the price of the products of B, the same situation also holds for the commodities that form the constant part of capital B, and indirectly, also, its variable capital, as means of subsistence for the workers. As far as the constant portion of capital is concerned, it is itself equal to cost price plus surplus-value, i.e. now equal to cost price plus profit, and this profit can again be greater or less than the surplus-value whose place it has taken. As for the variable capital, the average daily wage is certainly always equal to the value product of the number of hours that the worker must work in order to produce his necessary means of subsistence; but this number of hours is itself distorted by the fact that the production prices of the necessary means of subsistence diverge from their values. However, this is always reducible to the situation that whenever too much surplus-value goes into one commodity, too little goes into another, and that the divergences from value that obtain in the production prices of commodities therefore cancel each other out. With the whole of capitalist production, it is always only in a very intricate and approximate way, as an average of perpetual fluctuations which can never be firmly fixed, that the general law prevails as the dominant tendency.
the wage too; the deviations cancel

But there is a real difference. It isn't only that the price of capital B's product deviates from its value, because the surplus-value actually realized in B may be bigger or smaller than the profit added onto the price of B's products. The very same thing holds again for the commodities that make up the constant part of capital B — and, indirectly, as the workers' means of subsistence, its variable part too. Take the constant part: it is itself equal to cost price plus surplus-value, which now means cost price plus profit, and that profit can again be bigger or smaller than the surplus-value it stands in for. Take the variable capital: the average daily wage is always equal to the value the worker himself adds in the hours he has to work to produce the necessary means of subsistence — but that number of hours is itself distorted by the way the production prices of the necessary means of subsistence deviate from their values.

Still, this always resolves itself: whatever goes in too much as surplus-value in one commodity goes in too little in another, so the deviations from value lodged in commodities' production prices cancel each other out.

With the whole of capitalist production, it is only ever in a very complicated and approximate way — as an average of perpetual fluctuations that can never actually be pinned down — that the general law asserts itself as the dominant tendency.

Since the general rate of profit is formed by the average of the various different rates of profit on each 100 units of capital advanced over a definite period of time, say a year, the distinction made between the different capitals by the distinction in turnover times is also obliterated. But this distinction plays a decisive role for the various different rates of profit in the various spheres of production, by means of whose average the general rate of profit is formed.
turnover: erased only in the average

Because the general rate of profit is formed by averaging the different profit rates on every 100 of capital advanced, over a given stretch of time — a year, say — the differences produced by different capitals having different turnover times are wiped out in that average. But those very differences do enter, and do help determine, the different profit rates of the different spheres of production whose average makes up the general rate of profit.

In our previous illustration of the formation of the general rate of profit, every capital in every sphere of production was taken as 100, and we did this in order to make clear the percentage differences in the rates of profit and hence also the differences in the values of the commodities that are produced by capitals of equal size. It should be understood, however, that the actual masses of surplus-value that are produced in each particular sphere of production depend on the magnitude of the capitals applied, since the composition of capital is given in each of these given spheres of production. Yet the particular rate of profit of an individual sphere of production is not affected by whether a capital of 100, m × 100 or xm × 100 is applied. The profit rate remains 10 per cent, whether the total profit is 10 on 100 or 1,000 on 10,000.
scale doesn't change a sphere's rate

In the illustration just used to build the general rate of profit, every capital in every sphere was set at 100. That was done to bring out clearly the percentage difference in the profit rate, and so also the difference in the values of commodities produced by capitals of equal size. But of course the actual masses of surplus-value produced in each particular sphere depend on the size of the capitals applied, since within any given sphere the composition of capital is fixed. Even so, the particular profit rate of a single sphere is not affected by whether the capital applied is 100, or any multiple of 100, however large. The profit rate stays 10 per cent, whether the total profit is 10 on 100 or 1,000 on 10,000.

However, since the rates of profit in the various spheres of production differ, in that very different masses of surplus-value and therefore profit are produced according to the proportion that variable capital forms in the total, it is evident that the average profit per 100 units of social capital, and hence the average or general rate of profit, will vary greatly according to the respective magnitudes of the capitals invested in the various spheres. Let us take four capitals A, B, C, D. Say that the rate of surplus-value for all of them is 100 per cent. Let the variable capital for each 100 units of the total capital be 25 for A, 40 for B, 15 for C and 10 for D. Each 100 units of the total capital then yields a surplus-value or profit of 25 for A, 40 for B, 15 for C and 10 for D; a total of 90, and thus, if the four capitals are equal in size, an average rate of profit of 90/4 = 22½ per cent.
four capitals, equal in size

But profit rates differ from one sphere of production to another, because the ratio of variable capital to total capital differs, and very different masses of surplus-value, and so of profit, get produced accordingly. So it's clear that the average profit per 100 of the social capital — and hence the average or general rate of profit — will vary a great deal depending on the relative sizes of the capitals invested in the different spheres.

Take four capitals, A, B, C and D. Let the rate of surplus-value be 100 per cent for all of them. Out of every 100 of total capital, let the variable capital be 25 for A, 40 for B, 15 for C, 10 for D. Then out of every 100 of total capital there would fall a surplus-value, or profit, of 25 for A, 40 for B, 15 for C, 10 for D — 90 together. So if the four capitals are equal in size, the average rate of profit is 90/4 = 22½ per cent.

If the total capitals were instead A = 200, B = 300, C = 1,000 and D = 4,000, the profits produced would then be 50, 120, 150 and 400 respectively. Altogether a profit of 720 on a capital of 5,500, or an average rate of profit of 13 1/11 per cent.
the same four, rescaled

But if the total sizes of the capitals are instead A = 200, B = 300, C = 1,000, D = 4,000, the profits produced would be 50, 120, 150 and 400 respectively. Together, on a capital of 5,500, that is a profit of 720, or an average rate of profit of 13 1/11 per cent.

The masses of total value produced vary according to the different sizes of the total capitals respectively advanced in A, B, C and D. For the formation of the general rate of profit, therefore, it is not only a question of the difference in rates of profit between the various spheres of production, from which a simple average is to be taken, but also of the relative weight which these different rates of profit assume in the formation of this average. This depends however either on the relative size of the capital invested in each particular sphere, or on which particular aliquot part of the total social capital is invested in each particular sphere of production. It must naturally make a great deal of difference whether it is a greater or lesser part of the total capital that yields a higher or lower profit rate. And this depends in turn upon how much capital is invested in those spheres where the variable capital is relatively large or small compared with the total capital. It is the same as in the case of the average rate of interest that a moneylender makes if he lends different capitals at different rates of interest, e.g. at 4, 5, 6, 7 per cent, etc. The average rate is completely dependent on how much of his capital he had lent out at each of these different interest rates.
why weight decides the average

The masses of total value produced differ according to the different sizes of the total capitals advanced in A, B, C and D. So forming the general rate of profit isn't just a matter of the difference between the profit rates in the different spheres of production, of which a simple average could be taken — it's a matter of the relative weight with which those different profit rates enter into forming the average. And that depends on the proportional size of the capital invested in each particular sphere — on what aliquot part of society's total capital the capital in each sphere forms. There obviously has to be a very great difference according to whether a larger or smaller share of the total capital yields a higher or lower profit rate. And that in turn depends on how much capital sits in the spheres where variable capital is relatively large or small compared with the total capital.

It's exactly like the average rate of interest made by a moneylender who lends out different sums at different rates — say at 4, 5, 6, 7 per cent. His average rate depends entirely on how much of his capital he has lent out at each of the different rates.

The general rate of profit is determined therefore by two factors:
two factors named

The general rate of profit, then, is fixed by two factors:

(1) the organic composition of the capitals in the various spheres of production, i.e. the different rates of profit in the particular spheres;
the first factor: composition

(1) by the organic composition of the capitals in the different spheres of production — that is, by the different profit rates of the individual spheres;

(2) the distribution of the total social capital between these different spheres, i.e. the relative magnitudes of the capitals invested in each particular sphere, and hence at a particular rate of profit; i.e. the relative share of the total social capital swallowed up by each particular sphere of production.
the second factor: distribution

(2) by the way society's total capital is distributed across these different spheres — that is, by the relative size of the capital invested in each particular sphere, and hence at a particular rate of profit; in other words, by the proportional share of society's total capital that each particular sphere swallows up.

In Volumes 1 and 2 we were only concerned with the values of commodities. Now a part of this value has split away as the cost price, on the one hand, while on the other, the production price of the commodity has also developed, as a transformed form of value.
a part, and a transformed form

In Volumes 1 and 2 we had only the values of commodities to deal with. Now, on one side, the cost price has separated off as a part of that value; on the other, the production price of the commodity has developed as a transformed form of that value.

If we take it that the composition of the average social capital is 80c + 20v and the annual rate of surplus-value s’ = 100 per cent, the average annual profit for a capital of 100 is 20 and the average annual rate of profit is 20 per cent. For any cost price k of the commodities annually produced by a capital of 100, their price of production will be k + 20. In those spheres of production where the composition of capital is (80 - x)c + (20 + x)v, the surplus-value actually created within this sphere, or the annual profit produced, is 20 + x, i.e. more than 20, and the commodity value produced is k + 20 + x, more than k + 20, or more than the price of production. In those spheres where the composition of capital is (80 + x)c + (20 - x)v, the surplus-value or profit annually created is 20 - x, i.e. less than 20, and the commodity value therefore k + 20 - x, i.e. less than the price of production, which is k + 20. Leaving aside any variation in turnover time, the production prices of commodities would be equal to their values only in cases where the composition of capital was by chance precisely 80c + 20v.
the algebra of divergence

Suppose the composition of the average social capital is 80c + 20v, and the annual rate of surplus-value, s', is 100 per cent. Then the annual average profit for a capital of 100 would be 20, and the general annual rate of profit would be 20 per cent. Whatever the cost price k of the commodities a capital of 100 produces in a year, their price of production would be k + 20.

In the spheres of production where the composition of capital is (80 - x)c + (20 + x)v, the surplus-value actually created — that is, the annual profit produced within that sphere — would be 20 + x, greater than 20, and the value of the commodities produced would be k + 20 + x, greater than k + 20, that is, greater than their price of production. In the spheres where the composition of capital is (80 + x)c + (20 - x)v, the annual surplus-value or profit would be 20 - x, less than 20, and so the value of the commodities, k + 20 - x, would be less than the price of production, which is k + 20.

Leaving aside any differences in turnover time, the production prices of commodities would equal their values only in the spheres where the composition of capital happened to be exactly 80c + 20v.

The specific degree of development of the social productivity of labour differs from one particular sphere of production to another, being higher or lower according to the quantity of means of production set in motion by a certain specific amount of labour, and thus by a specific number of workers once the working day is given. Hence its degree of development depends on how small a quantity of labour is required for a certain quantity of means of production. We therefore call capitals that contain a greater percentage of constant capital than the social average, and thus a lesser percentage of variable capital, capitals of higher composition. Conversely, those marked by a relatively smaller share of constant capital, and a relatively greater share of variable, we call capitals of lower composition. By capitals of average composition, finally, we mean those whose composition coincides with that of the average social capital. If this average social capital is composed of 80c + 20v, in percentages, then a capital of 90c + 10v is above the social average and one of 70c + 30v is below this average. In general, for an average social capital composed of mc + nv, where m and n are constant magnitudes and m + n = 100, (m + x)c + (n — x)v represents an individual capital or group of capitals of higher composition, and (m — x)c + (n + x)v one of lower composition. How these capitals function after the average rate of profit is established, on the assumption of one turnover in the year, is shown by the following table, in which capital I represents the average composition, with an average rate of profit of 20 per cent.
defining higher and lower composition

The specific development of the social productive power of labour differs in degree from one particular sphere of production to another — higher in some, lower in others. It is higher where a given quantity of labour — a given number of workers, the working day being fixed — sets a larger quantity of means of production in motion, and so where the quantity of labour needed for a given quantity of means of production is correspondingly small.

We call capitals that contain, percentage-wise, more constant and so less variable capital than the average social capital, capitals of higher composition. Conversely, capitals where the constant capital takes up a relatively smaller share and the variable a larger one, compared with the average social capital, we call capitals of lower composition. Capitals of average composition, finally, are those whose composition coincides with that of the average social capital. If the average social capital is composed, percentage-wise, of 80c + 20v, then a capital of 90c + 10v stands above the social average, one of 70c + 30v below it. In general, if the average social capital's composition is mc + nv, where m and n are constants and m + n = 100, then (m + x)c + (n - x)v represents the higher, and (m - x)c + (n + x)v the lower, composition of an individual capital or group of capitals.

How these capitals behave once the average rate of profit is established — assuming a single turnover in the year — is shown by the following table, in which I stands for the average composition, so that the average rate of profit is 20 per cent:

I. 80c + 20v + 20s. Rate of profit = 20 per cent. Price of the product = 120. Value = 120.
II. 90c + 10v + 10s. Rate of profit = 20 per cent. Price of the product = 120. Value = 110.
III. 70c + 30v + 30s. Rate of profit = 20 per cent. Price of the product = 120. Value = 130.
I. 80c + 20v + 20s. Rate of profit = 20 per cent. Price of the product = 120. Value = 120.
II. 90c + 10v + 10s. Rate of profit = 20 per cent. Price of the product = 120. Value = 110.
III. 70c + 30v + 30s. Rate of profit = 20 per cent. Price of the product = 120. Value = 130.
Commodities produced by capital II thus have a value less than their price of production, and those produced by capital III have a price of production less than their value. Only for capitals such as I, in branches of production whose composition chanced to coincide with the social average, would the value and the price of production be the same. In applying these terms to specific cases, of course, we must bear in mind that the ratio between c and v may depart from the general average not just as a result of a difference in the technical composition, but also simply because of a change in value of the elements of constant capital.
value against price of production

For the commodities produced by capital II, then, their value would be less than their price of production; for those of capital III, the price of production would be less than the value; and only for capitals like I, in branches of production whose composition happens to match the social average, would value and price of production be equal.

That said, when applying these terms to particular cases, it obviously has to be taken into account how far the ratio between c and v departs from the general average not because of a difference in technical composition at all, but merely because of a change in the value of the elements of constant capital.

The development given above also involves a modification in the determination of a commodity’s cost price. It was originally assumed that the cost price of a commodity equalled the value of the commodities consumed in its production. But for the buyer of a commodity, it is the price of production that constitutes its cost price and can thus enter into forming the price of another commodity. As the price of production of a commodity can diverge from its value, so the cost price of a commodity, in which the price of production of other commodities is involved, can also stand above or below the portion of its total value that is formed by the value of the means of production going into it. It is necessary to bear in mind this modified significance of the cost price, and therefore to bear in mind too that if the cost price of a commodity is equated with the value of the means of production used up in producing it, it is always possible to go wrong. Our present investigation does not require us to go into further detail on this point. It still remains correct that the cost price of commodities is always smaller than their value. For even if a commodity’s cost price may diverge from the value of the means of production consumed in it, this error in the past is a matter of indifference to the capitalist. The cost price of the commodity is a given precondition, independent of his, the capitalist’s, production, while the result of his production is a commodity that contains surplus-value, and therefore an excess value over and above its cost price. As a general rule, the principle that the cost price of a commodity is less than its value has been transformed in practice into the principle that its cost price is less than its price of production. For the total social capital, where price of production equals value, this assertion is identical with the earlier one that the cost price is less than the value. Even though it has a different meaning for the particular spheres of production, the basic fact remains that, taking the social capital as a whole, the cost price of the commodities that this produces is less than their value, or than the price of production which is identical with this value for the total mass of commodities produced. The cost price of a commodity simply depends on the quantity of paid labour it contains, while the value depends on the total quantity of labour it contains, whether paid or unpaid; the price of production depends on the sum of paid labour plus a certain quantity of unpaid labour that is independent of its own particular sphere of production.
cost price's modified meaning

The development just given does, however, bring in a modification of how commodities' cost price is determined. It was originally assumed that a commodity's cost price is equal to the value of the commodities consumed in producing it. But a commodity's price of production is, for whoever buys it, simply its cost price, and so it can enter as cost price into the forming of another commodity's price. And since the price of production can deviate from a commodity's value, a commodity's cost price — where it includes another commodity's price of production — can likewise stand above or below the part of its total value formed by the value of the means of production that went into it. It's necessary to keep this modified sense of cost price in mind, and so to remember that whenever, in some particular sphere of production, a commodity's cost price is simply equated with the value of the means of production used up in making it, an error is always possible.

For the investigation we are engaged in here, there is no need to go any further into this point. What still holds throughout is that a commodity's cost price is always less than its value. For however a commodity's cost price may deviate from the value of the means of production consumed in it, that past error makes no difference to the capitalist. The commodity's cost price is simply a given — a premise that is independent of the capitalist's own production — while the result of his production is a commodity that contains surplus-value, that is, a surplus of value over its cost price. Beyond that, the proposition that cost price is less than a commodity's value has now, in practice, turned into the proposition that cost price is less than the price of production. For society's total capital, where the price of production equals value, this comes to the same thing as the earlier proposition, that cost price is less than value. And although the proposition carries a different sense for particular spheres of production taken on their own, the underlying fact remains: taking society's total capital as a whole, the cost price of the commodities it produces is less than their value — or, here, less than the price of production, which for the total mass of commodities produced is identical with that value.

A commodity's cost price refers only to the quantity of paid labour contained in it. Its value refers to the total quantity of paid and unpaid labour contained in it. Its price of production refers to the sum of the paid labour plus a quantity of unpaid labour that is fixed for that particular sphere of production independently of the sphere itself.

The formula that the price of production of a commodity = k + p, cost price plus profit, can now be stated more exactly; since p = kp' (where p' is the general rate of profit), the price of production = k + kp'. If k = 300 and p' = 15 per cent, the price of production k + kp' = 300 + 300 × 15/100 = 345.
the final formula

The formula that a commodity's price of production is k + p — cost price plus profit — has now been pinned down more closely: p = kp', where p' is the general rate of profit, and so the price of production is k + kp'. If k = 300 and p' = 15 per cent, the price of production, k + kp', is 300 + 300 × 15/100 = 345.

Kap. 9
What Makes the General Rate Change - and How the Origin of Profit Disappears
The price of production has been defined, the objection to it answered, and the general rate traced to the compositions of capital in the different spheres and to the way society's total capital is spread among them. What is left is what can make such a price move - and what the whole transformation does to anybody's chances of seeing where profit comes from.
The price of production of commodities in a particular sphere of production may undergo changes of magnitude:
how a price of production changes

The price of production of commodities in any particular sphere of production can change in size in three ways:

(1) while the value of the commodities remains the same (so that the same quantity of dead and living labour goes into their production afterwards as before), as the result of a change in the general rate of profit that is independent of the particular sphere in question;
first way: the general rate moves

(1) the value of the commodities can stay the same — the same amount of dead and living labour still goes into producing them — while the price of production still changes, because the general rate of profit has changed for reasons that have nothing to do with this particular sphere.

(2) while the general rate of profit remains the same, by a change in value either in the particular sphere of production itself, as the result of a technical change or as the result of a change in the value of the commodities that go into its constant capital as formative elements;
second way: value itself changes

(2) the general rate of profit can stay the same while the value changes — either because of a technical change inside this particular sphere of production itself, or because the value has changed in the commodities that go into its constant capital as formative elements.

(3) finally, by the common action of these two circumstances.
third way: both together

(3) finally, both of these can happen together.

For all the great changes that constantly occur in the actual rates of profit in particular spheres of production (as we shall later show), a genuine change in the general rate of profit, one not simply brought about by exceptional economic events, is the final outcome of a whole series of protracted oscillations, which require a good deal of time before they are consolidated and balanced out to produce a change in the general rate. In all periods shorter than this, therefore, and even then leaving aside fluctuations in market prices, a change in prices of production is always to be explained prima facie by an actual change in commodity values, i.e. by a change in the total sum of labour-time needed to produce the commodities. We are not referring here, of course, to a mere change in the monetary expression of these values. 23
a real rate change is slow

Even though the actual profit rates in each particular sphere of production keep changing a great deal, as we will see later, a real change in the general rate of profit — unless some extraordinary economic event forces one through as an exception — is the very late result of a series of oscillations spread over very long stretches of time: oscillations that take a long time before they settle down and add up to a change in the general rate.

Over any shorter period — leaving fluctuations in market prices aside entirely — a change in prices of production is, prima facie, always to be explained by a real change in the value of the commodities, that is, by a change in the total amount of labour-time needed to produce them. A mere change in the money expression of the same values obviously does not come into this at all.

It is clear on the other hand that, taking the total social capital as a whole, the sum of values of the commodities produced by it (or, expressed in money, their price) = value of constant capital + value of variable capital + surplus-value. Assuming a constant level of exploitation of labour, the profit rate can only change here, with the mass of surplus-value remaining the same, in three cases: if the value of the constant capital changes, if the value of the variable capital changes, or if both change. All these result in a change in C, thereby changing s/C, the general rate of profit. In each case, therefore, a change in the general rate of profit assumes a change in the value of the commodities which enter as formative elements into the constant capital, the variable capital, or both simultaneously.
a changed rate presupposes changed values

On the other hand, it is clear that, taking the total social capital as a whole, the sum of the values of the commodities it produces (or, expressed in money, their price) equals the value of the constant capital plus the value of the variable capital plus the surplus-value. Taking the degree of exploitation of labour as constant, the rate of profit here can only change, with the mass of surplus-value staying the same, if either the value of the constant capital changes, or the value of the variable capital changes, or both change — so that C itself changes, and with it s/C — the surplus-value divided by that whole capital — which is the general rate of profit. So in every case, a change in the general rate of profit presupposes a change in the value of the commodities that go in as formative elements of the constant capital, or the variable capital, or both at once.

Alternatively, the general rate of profit can change, with the value of commodities remaining constant, if the level of exploitation of labour changes.
or: exploitation itself changes

Or the general rate of profit can change while the value of the commodities stays the same, if the degree of exploitation of labour changes.

Or again, the level of exploitation of labour remaining the same, the general rate of profit can change if the sum of labour applied changes in relation to the constant capital, as a result of technical changes in the labour process. But technical changes of this kind must always show themselves in, and thus be accompanied by, a change in value of the commodities whose production now requires either more or less labour than it did before.
or: technical change moves values too

Or, with the degree of exploitation of labour staying the same, the general rate of profit can change if the total amount of labour applied changes relative to the constant capital, because of technical changes in the labour process. But changes like that must always show up in, and therefore be accompanied by, a change in the value of the commodities, since producing them would now take more or less labour than before.

We saw in the first Part how surplus-value and profit were identical, seen from the point of view of their mass. But the rate of profit is from the very beginning different from the rate of surplus-value, though at first this appears simply as a different way of calculating the same thing. Given however that the rate of profit can rise or fall, with the rate of surplus-value remaining the same, and that all that interests the capitalist in practice is his rate of profit, this circumstance also completely obscures and mystifies the real origin of surplus-value from the very beginning. The difference in magnitude, however, was simply between rate of surplus-value and rate of profit and not between surplus-value and profit themselves. Because the rate of profit measures surplus-value against the total capital and the latter is its standard, surplus-value itself appears in this way as having arisen from the total capital, and uniformly from all parts of it at that, so that the organic distinction between constant and variable capital is obliterated in the concept of profit. In actual fact, therefore, surplus-value denies its own origin in this, its transformed form, which is profit; it loses its character and becomes unrecognizable. And yet, up to this point, the distinction between profit and surplus-value simply involved a qualitative change, a change of form, while any actual difference in magnitude at this initial stage of the transformation lay simply between the rate of profit and the rate of surplus-value and not yet between profit and surplus-value as such.
mystification begins; only the rates differ

We saw in the first Part that surplus-value and profit were identical in mass — that is, in total amount. But the rate of profit is different from the rate of surplus-value from the very start — which at first looks like nothing more than a different way of calculating. Yet it is also, from the very start, exactly what obscures and mystifies where surplus-value really comes from: the rate of profit can rise or fall while the rate of surplus-value stays the same, and the other way round, and it is only the rate of profit that practically interests the capitalist. Still, the difference in size was only between the rate of surplus-value and the rate of profit — not between surplus-value and profit themselves.

Because in the rate of profit the surplus-value is reckoned against the total capital and measured by it, surplus-value itself now appears to have sprung from the total capital, equally from all its parts, so that the organic distinction between constant and variable capital — the difference between the part that replaces means of production and the part that sets labour to work — is wiped out in the concept of profit. In this transformed shape, as profit, surplus-value really does deny its own origin, loses its character, becomes unrecognizable.

But so far, the difference between profit and surplus-value was only a qualitative change, a change of form. At this first stage of the transformation, a real difference in size exists only between the rate of profit and the rate of surplus-value — not yet between profit and surplus-value themselves.

It is quite a different matter as soon as a general rate of profit is established, and with this an average profit corresponding to the amount of capital invested in the various spheres of production.
once a general rate is set

It is different once a general rate of profit has been established, and through it an average profit corresponding to the size of the capital applied in each particular sphere of production.

It is now purely accidental if the surplus-value actually produced in a particular sphere of production, and therefore the profit, coincides with the profit contained in the commodity’s sale price. In the case now under consideration, profit and surplus-value themselves, and not just their rates, will as a rule be genuinely different magnitudes. At a given level of exploitation of labour, the mass of surplus-value that is created in a particular sphere of production is now more important for the overall average profit of the social capital, and thus for the capitalist class in general, than it is directly for the capitalist within each particular branch of production. It is important for him only in so far as the quantity of surplus-value created in his own branch intervenes as a codeterminant in regulating the average profit. 24 But this process takes place behind his back. He does not see it, he does not understand it, and it does not in fact interest him. The actual difference in magnitude between profit and surplus-value in the various spheres of production (and not merely between rate of profit and rate of surplus-value) now completely conceals the true nature and origin of profit, not only for the capitalist, who has here a particular interest in deceiving himself, but also for the worker. With the transformation of values into prices of production, the very basis for determining value is now removed from view. The upshot is this: in the case of a simple transformation from surplus-value into profit, the portion of commodity value that forms this profit confronts the other portion of value as the commodity’s cost price, and the concept of value thus already goes by the board as far as the capitalist is concerned, because he does not have to deal with the total labour that the production of the commodity cost, but only the part of the total labour that he has paid for in the form of means of production, living or dead, so that profit appears to him as something standing outside the immanent value of the commodity. But what happens now [with the establishment of a general rate of profit] is that this idea is completely confirmed, reinforced and hardened by the fact that the profit added to the cost price is not actually determined, if the particular spheres of production are taken separately, by the value formation that proceeds within these branches, but on the contrary established quite externally to them.
a redistribution, behind his back

It is now only by chance if the surplus-value actually produced in a particular sphere of production — and so its profit — coincides with the profit contained in the commodity's selling price. As a rule, profit and surplus-value, and not just their rates, are now really different magnitudes. Given a certain degree of exploitation of labour, the mass of surplus-value produced in a particular sphere of production now matters more for the total average profit of social capital — that is, for the capitalist class as a whole — than it matters directly for the capitalist within that particular branch of production. It matters to him only in so far as the quantity of surplus-value produced in his own branch has a part in setting the average profit. But this is a process that goes on behind his back: he does not see it, does not understand it, and it does not in fact interest him.

The real difference in magnitude between profit and surplus-value — not just between their rates — in the particular spheres of production now completely hides the true nature and origin of profit, not only for the capitalist, who here has a particular interest in deceiving himself, but for the worker too. With the transformation of values into prices of production, the very basis for determining value is removed from view.

Finally: in the mere transformation of surplus-value into profit, the part of the commodity's value that forms the profit already stands opposed to the other part of its value as the commodity's cost price. At that point the concept of value is already slipping away from the capitalist, because he does not have in front of him the total labour that the commodity's production costs, but only the part of that total labour which he has paid for, in the form of means of production, dead or living — so that profit appears to him as something standing outside the commodity's immanent value. This idea is now fully confirmed, cemented, set hard, because the profit added on to the cost price is, in fact, looking at the particular sphere of production, not fixed by the limits of the value-formation going on inside that sphere itself, but set quite externally against it.

This inner connection is here revealed for the first time. But as we shall see from what follows, and also from Volume 4, all economics up till now has either violently made abstraction from the distinctions between surplus-value and profit, between rate of surplus-value and rate of profit, so that it could retain the determination of value as its basis, or else it has abandoned, along with this determination of value, any kind of solid foundation for a scientific approach, so as to be able to retain those distinctions which obtrude themselves on the phenomenal level. This confusion on the part of the theorists shows better than anything else how the practical capitalist, imprisoned in the competitive struggle and in no way penetrating the phenomena it exhibits, cannot but be completely incapable of recognizing, behind the semblance, the inner essence and the inner form of this process.
the theorists' two failed escapes

This inner connection is revealed here for the first time. And previous economics, as later chapters and Volume 4 will show, either forcibly abstracted from the differences between surplus-value and profit, and between the rate of surplus-value and the rate of profit, in order to hold on to the determination of value as its basis, or else gave up the determination of value altogether, sacrificing the whole ground of scientific method, in order to hold on to those differences that stand out so plainly in appearance. This confusion among the theorists shows, better than anything else, how the practical capitalist, caught up in the fight of competition and unable to see through the appearances that struggle throws up, must be utterly incapable of seeing through the surface appearance to the inner essence and inner shape of this process.

All the laws governing rises and falls in the profit rate, developed in the first Part, have in fact the following double significance:
a double meaning announced

All the laws about the rise and fall of the rate of profit developed in the first Part in fact carry the following double meaning:

(1) On the one hand they are laws of the general rate of profit. Given the many different causes that lead the profit rate to rise or fall, according to our arguments developed above, one might believe that the general rate of profit would have to change every single day. But as the movement of one sphere of production will cancel out the movement of another, the forces mutually counteract and paralyse each other. We shall see later on in what direction such fluctuations tend in the last analysis. But this process is slow, and the suddenness, multilateral character and differential duration of fluctuations in the particular spheres of production lead to a situation in which they partly compensate for one another in their temporal succession, so that a fall in price succeeds a rise, and vice versa, and they therefore remain local, i.e. confined to the particular sphere of production concerned. The various local fluctuations, in other words, reciprocally neutralize one another. Changes take place within each particular sphere of production, departures from the general profit rate, which on the one hand balance each other out over a certain period of time and hence do not react back on the general rate, while on the other hand they do not react back on it because they are cancelled out by other simultaneous local fluctuations. Since the general rate of profit is determined not only by the average rate of profit in each sphere, but also by the distribution of the total capital between the various particular spheres, and since this distribution is constantly changing, we have again a constant source of change in the general rate of profit — but a source of change that also becomes paralysed, for the most part, given the uninterrupted and all-round character of this movement.
the general rate moves slowly

(1) On the one hand they are the laws of the general rate of profit itself. Given the many different causes that, on the argument so far, make the rate of profit rise or fall, one might expect the general rate of profit to change every day. But the movement in one sphere of production cancels out the movement in another — the influences cross and paralyse each other.

We will look later at which way these fluctuations tend in the end; but they are slow. Because the fluctuations in the different spheres of production are sudden, many-sided, and of different lengths, they partly offset each other in their sequence over time, so that a fall in price follows a rise and the other way round — which keeps them local, confined to their own particular sphere of production. And finally, the various local fluctuations neutralize one another.

Within each particular sphere of production there are changes, departures from the general rate of profit, which on one hand even out again over a given stretch of time and so do not feed back into the general rate; and which on the other hand also do not feed back into it because other local fluctuations happening at the same time cancel them out. Since the general rate of profit is fixed not only by the average rate of profit in each sphere but also by how the total capital is distributed across the different particular spheres, and since that distribution keeps changing, this is itself a constant cause of change in the general rate — but a cause of change which, given how unbroken and many-sided this movement is, for the most part paralyses itself all over again.

(2) Within each sphere there is room for shorter or longer periods in which the profit rate in this sphere fluctuates, before this fluctuation, a rise or a fall, is consolidated for a sufficient time to affect the general rate of profit and thus to have more than a local significance. Within these spatial and temporal limits, therefore, the laws of the profit rate developed in the first Part of this volume similarly continue to apply.
local swings before they count

(2) Within each sphere there is room, for a shorter or longer stretch of time, for that sphere's own rate of profit to fluctuate before the fluctuation, whether rising or falling, settles down enough to have time to affect the general rate of profit and so reach beyond merely local significance. Within those limits of space and time, then, the laws of the rate of profit developed in the first Part of this volume also hold good.

The theoretical opinion regarding the first transformation of surplus-value into profit, i.e. that each portion of capital yields profit in a uniform way, 25 expresses a practical state of affairs. However an industrial capital may be composed, whether a quarter is dead labour and three-quarters living labour, or whether three-quarters is dead labour and only a quarter sets living labour in motion, so that in the one case three times as much surplus labour is sucked out, or surplus-value produced, as in the other — with the same level of exploitation of labour and ignoring individual differences, which disappear anyway, since in both cases we are concerned only with the average composition of the sphere of production as a whole — in both cases it yields the same profit. The individual capitalist (or alternatively the sum total of capitalists in a particular sphere of production), whose vision is a restricted one, is right in believing that his profit does not derive just from the labour employed by him or employed in his own branch. This is quite correct as far as his average profit goes. How much this profit is mediated by the overall exploitation of labour by capital as a whole, i.e. by all his fellow-capitalists, this interconnection is a complete mystery to him, and the more so in that even the bourgeois theorists, the political economists, have not yet revealed it. Saving of labour — not only the labour necessary to produce a specific product, but also the number of workers employed — and a greater use of dead labour (constant capital), appears a quite correct economic operation, and seems from the very beginning not to affect the general rate of profit and the average profit in any manner. How therefore can living labour be the exclusive source of profit, since a reduction in the quantity of labour needed for production not only seems not to affect the profit, but rather to be the immediate source of increasing profit, in certain circumstances, at least for the individual capitalist?
right about his average profit

The theoretical opinion — about the first transformation of surplus-value into profit — that every part of the capital throws off profit equally, expresses a practical fact. In both cases an industrial capital throws off the same amount of profit. However it is composed, whether it sets in motion a quarter dead labour and three-quarters living labour, or three-quarters dead labour and a quarter living labour; whether in one case it draws in three times as much surplus labour, or produces three times as much surplus-value, as in the other — the profit is the same, at an equal degree of exploitation of labour, and setting aside individual differences that vanish anyway, since in both cases we only have the average composition of the whole sphere of production in front of us.

The individual capitalist (or, equally, the whole body of capitalists in any particular sphere of production), whose view is narrow, rightly believes that his profit does not come solely from the labour he employs, or that is employed in his own branch. This is quite correct for his average profit. But how far this profit is mediated by the total exploitation of labour by the total capital — that is, by all his fellow capitalists together — is a complete mystery to him, all the more so because even the bourgeois theorists, the political economists, had not yet uncovered it.

Saving on labour — not only on the labour needed to produce a given product, but also on the number of workers employed — together with a greater use of dead labour, that is, constant capital, appears to be an economically quite sound operation, and seems from the outset not to touch the general rate of profit and the average profit in any way. So how, then, could living labour be the exclusive source of profit, given that reducing the amount of labour needed for production not only does not seem to touch profit, but under certain circumstances even appears as the nearest source of increasing it — at least for the individual capitalist?

If the portion of the cost price which represents constant capital rises or falls in a given sphere of production, this is the portion that comes out of the circulation sphere and goes into the commodity’s production process from the outset either enlarged or reduced. But say that the workers employed produce more or less in the same period of time, i.e. with the number of workers remaining the same, the quantity of labour required for the production of a certain amount of commodities changes. In this case, the part of the cost price that represents the value of the variable capital may remain the same and thus go into the cost price of the total product with the same magnitude. But each of the individual commodities whose sum comprises the total product now contains more or less labour (paid and therefore also unpaid), i.e. also more or less of the outlay for this labour, a greater or smaller portion of the wages. The total paid by the capitalist in wages remains the same, but this is different when calculated on each item of the individual commodity. There is thus a change in this part of the commodity’s cost price. Now it does not matter whether the cost price of the individual commodity rises or falls as a result of such changes in value, either its own or the value of its commodity elements (or alternatively the cost price of the sum of commodities produced by a capital of given size) — if the average profit is 10 per cent, for example, it remains 10 per cent, even though this 10 per cent, taken for the individual commodity, may represent a very different magnitude as a result of the change in the individual cost price brought about by the change in value we have just presupposed. 26
cost price shifts, average profit holds

If, in a given sphere of production, the part of the cost price that represents the value of the constant capital rises or falls, that part comes in from circulation and enters the commodity's production process already enlarged or reduced from the outset. If, on the other hand, the same number of workers produces more or less in the same time — so that, with the number of workers unchanged, the amount of labour needed to produce a given quantity of commodities changes — then the part of the cost price representing the value of the variable capital may stay the same, entering the cost price of the whole product at the same total size. But each single commodity making up that whole product now carries more or less labour (paid, and therefore also unpaid), and so more or less of the outlay for that labour — a bigger or smaller slice of the wage. The total wage paid by the capitalist stays the same, but reckoned per piece of commodity it is different. So a change would occur here in this part of the commodity's cost price.

Now it makes no difference whether the cost price of the individual commodity rises or falls because of such changes in value — whether in the commodity itself or in the commodities forming its elements (or whether the cost price of the whole quantity of commodities produced by a capital of a given size rises or falls) — if the average profit is, say, 10 per cent, it stays 10 per cent; even though, looked at for the individual commodity, that 10 per cent represents a very different amount, depending on the change in size that the presupposed change in value has produced in the cost price of the individual commodity.

As far as the variable capital is concerned — and this is the most important thing, since it is the source of surplus-value and since everything that conceals its position in the capitalist’s enrichment mystifies the entire system — the situation looks cruder, or at least this is the way it appears to the capitalist. A variable capital of £100, say, represents the wages of 100 workers. If these 100 workers, with a given working day, produce a weekly product of 200 items of a commodity, = 200C, then 1C — ignoring the portion of the cost price that the constant capital adds — costs £100/200 = 10 shillings, since £100 = 200C. Let us now assume a change in the productivity of labour; if this doubles, the same number of workers produce twice this 200C in the same space of time as they formerly took to produce 200C. In this case, as far as the cost price consists simply of labour, £100 now equals 400C, and so 1C = £100/400 = 5 shillings. If productivity had been reduced by a half, the same labour would only produce 200C/2, and since 200C/2 = £100, 1C would now equal £200/200 = £1. The changes in the labour-time required for the production of the commodities, and therefore in their value, now appear in connection with the cost price, and therefore also with the price of production, as a different distribution of the same wages over more or fewer commodities, according to whether more or fewer commodities are produced in the same labour-time for the same wages. What the capitalist sees, and therefore the political economist as well, is that the part of the paid labour that falls to each item of the commodity changes with the productivity of labour, and so too therefore does the value of each individual article; he does not see that this is also the case with the unpaid labour contained in each article, and the less so, as the average profit is in fact only accidentally determined by the unpaid labour absorbed in his own sphere. The fact that the value of commodities is determined by the labour they contain now continues to percolate through only in this crudified and naive form.
wages per piece, as it appears

With variable capital — and this is the most important case, because variable capital is the source of surplus-value, and anything that hides its relation to how the capitalist gets richer mystifies the whole system — the situation looks cruder, or this is how it appears to the capitalist: a variable capital of £100, say, represents the weekly wage of 100 workers.

If these 100 workers, in a given working day, produce a weekly product of 200 pieces of commodities = 200C, then — leaving aside the part of the cost price added by the constant capital — since £100 = 200C, 1C costs £100/200 = 10 shillings. Now suppose the productive power of labour changes: it doubles, so the same number of workers produces, in the same time, twice 200C, that is, 400C, where they used to produce 200C. In this case — so far as the cost price consists simply of wages — since now £100 = 400C, 1C costs £100/400 = 5 shillings. If the productive power fell by half instead, the same labour would produce only 200C/2; and since £100 = 200C/2, 1C now costs £200/200 = £1.

Changes in the labour-time needed to produce the commodities, and so in their value, now appear, with respect to the cost price and therefore also the price of production, as nothing but a different distribution of the same wages over more or fewer commodities, depending on whether the same labour-time, for the same wages, produces more or fewer commodities.

What the capitalist — and so also the political economist — sees is that the part of the paid labour falling on each piece of the commodity changes with the productive power of labour, and with it the value of each single piece. What he does not see is that the same is true of the unpaid labour contained in each piece — all the less so, since his average profit is in fact only accidentally determined by the unpaid labour absorbed in his own sphere. Only in such a crude, conceptless form does the fact still show through: that the value of commodities is determined by the labour contained in them.