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Derivation of the Average Cost Formula in the Price-Setting Model

The average cost (AC) is defined as the total cost of production divided by the total units of output. In a model where labor is the only cost, the total cost is the nominal wage (W) multiplied by the number of workers (N), or WN. Total output is represented by Y. Therefore, the initial expression is AC=WNYAC = \frac{WN}{Y}. Given the assumption of constant labor productivity, where λ=Y/N\lambda = Y/N, we can substitute Y in the denominator. This simplifies the formula to AC=WλAC = \frac{W}{\lambda} by canceling out the employment level (N).

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Updated 2026-01-15

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