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QUESTION

In the short run, a firm's capital stock is fixed at =16. The firm's production function is q=8LK which has marginal products: MP l =4K/L and MP k =...

In the short run, a firm’s capital stock is fixed at =16. The firm’s production function is q=8√LK which has marginal products: MPl=4√K/L and MPk= 4√L/K. The wage and rental rate of capital are w=2 and r=6.

a. Derive the firm’s short-run production function.

b. Derive the firm’s short-run total cost function and graph it.

c. Derive the firm’s short-run average total cost function and graph it.

d. Derive the firm’s short-run marginal cost function and graph it.

e. Suppose the firm is producing =10 units of output. In the long run, how should it adjust labor and capital?

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