Answer to Question #132514 in Finance for Abhishek Chauhan

Question #132514
4. Suppose that the firm uses three inputs to produce its output: capital K, labor L, and materials M. The firm’s production function is given by Q = K1/3L1/3M1/3. The prices of capital, labor, and materials are r = 1, w = 1, and m = 1, respectively.
a) What is the solution to the firm’s long-run cost minimization problem given that the firm wants to produce Q units of output?
b) What is the solution to the firm’s short-run cost minimization problem when the firm wants to produce Q units of output and capital is fixed at K?
c) When Q = 4, the long-run cost-minimizing quantity of capital is 4. If capital is fixed at K = 4 in the short run, show that the short-run and long-run cost-minimizing quantities of labor and materials are the same.
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Expert's answer
2020-09-10T13:07:17-0400
Dear Abhishek Chauhan, your question requires a lot of work, which neither of our experts is ready to perform for free. We advise you to convert it to a fully qualified order and we will try to help you. Please click the link below to proceed: Submit order

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