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Conditional factor demands
In economics, a conditional factor demand is the cost-minimizing level of an input (factor of production) such as  labor or capital, required to produce a given level of output, for given unit input costs (wage rate and rental rate) of the input factors. A conditional factor demand function expresses the conditional factor demand as a function of the output level and the input costs. The conditional portion of this phrase refers to the fact that this function is conditional on a given level of output, so output is one argument of the function. Typically this concept arises in a long run context in which both labor and capital usage are choosable by the firm, so a single optimization gives rise to conditional factor demands for each of labor and capital.

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