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It doesn't break down. Machines have been replacing workers since the dawn of industrial capitalism. That's not a new or future development.

The value that a machine imparts to its end product is equal to the portion of its total value which is used up in the process of production. Same with other forms of constant capital like tools and raw materials. So if a shirt machine costs $500 and can produce 1000 shirts before it wears out, then it imparts $0.50 of value to each shirt produced. When the end products are sold on the market, their price always covers the cost of replenishing the constant capital.

Constant capital is merely "congealed labor" meaning that labor had to be performed to produce it in the first place. When workers utilize the constant capital they unlock that value and also impart the additional value of their labor to the final product. The sum of the value of this labor plus the value of the constant capital expended equals the total value of the end product. When this end product is sold on the market as a commodity, its exact price fluctuates based on supply and demand and other factors, but its center of gravity is always the amount of labor required to produce it and all its components at a given level of technology.

Capitalists are the people who own the machines, tools, and raw materials. They pay workers a wage to utilize that constant capital and produce commodities for sale. This wage is determined by the conditions of competition in the labor market, but fundamentally it is anchored to how much it costs a worker to provide for his subsistence (e.g., food, clothing, shelter) and not the amount of value that his labor imparts to the commodities he helps produce. The difference between the value a worker's labor imparts and his wage is what the capitalist appropriates as private profit.

The development of automation like the robots you mention is incentivized by market competition. Automation enables capitalists to produce more commodities with less labor. Any competitor who can't match the level of production is driven out of the market. But because automation reduces the amount of labor required, it also necessarily reduces the rate of profit on each commodity. Thus to maintain the previous level of profit, production must be increased and/or wages and labor conditions must be suppressed. Over time, at the scale of the whole economy, this leads to crisis as neither the capitalists nor the workers can consume all the commodities produced (the capitalists are too few and the workers' wages are insufficient by definition).



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