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Suppose a firm has a perfectly competitive production function: q=f(K, L)=2(K^1/2)+2(L^1/2). Suppose the price of capital is r and the price of labor is w.

1) The firm's cost minimization problem can be written as:

2) Find the conditional input demand functions:

3) The firm's cost function is:

4) Using the cost function, prove what returns to scale the technology exhibits:

5) Suppose r=1 and w=2 what is the marginal cost function and the average cost function? 

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Darryn D'Souza
Darryn D'SouzaLv10
30 Sep 2019

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