A firm produces plastic bins using labor (measured in man-hours) and capital (measured in machine-hours), according to the production function Q = f(L,K) = √LK, where Q is the number of plastic bins produced. Suppose that the cost of labor is $60 per worker-hour and the cost of capital is $15 per machine-hour. What is the cost minimizing input combination if the firm wants to produce 10,000 plastic bins? Hint: The marginal products are MP₁ = = and MPK 2√√I = 2√√K
A firm produces plastic bins using labor (measured in man-hours) and capital (measured in machine-hours), according to the production function Q = f(L,K) = √LK, where Q is the number of plastic bins produced. Suppose that the cost of labor is $60 per worker-hour and the cost of capital is $15 per machine-hour. What is the cost minimizing input combination if the firm wants to produce 10,000 plastic bins? Hint: The marginal products are MP₁ = = and MPK 2√√I = 2√√K
Chapter6: Proudction Costs
Section: Chapter Questions
Problem 3SQP
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