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A Firm's Production Function Is Given by Q = KL (L,K) (L, K)

question 14

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A firm's production function is given by Q = KL. The marginal products of labor and capital are, respectively, MPL = K and MPK = L. The wage rate of labor is w = $10 and the rental rate of capital is r = $20. What is the most efficient combination of labor and capital (L,K) (L, K) that also yields a cost of exactly $1000?

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