Suppose the firm's production function is Q = K1/3L2/3, where the MPK =
and MPL =
.
a. If the rental rate of capital R = $30 and the wage rate W = $40, what is the cost-minimizing capital-to-labor ratio?
b. If the rental rate of capital R is $35 and the wage rate W is $70, how many units of labor and capital should the firm use to produce 12 units of output?
Correct Answer:
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MPL/MPK = W/R
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