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A firm produces computer chips using the following production function q = F (K, L) = K0.50.25 a) Solve the cost minimization problem for

 

A firm produces computer chips using the following production function q = F (K, L) = K0.50.25 a) Solve the cost minimization problem for this firm and find the cost function (Hint: Solve min wL + rk for L and K subject to producing q). b) Using the cost function you found in a) verify Shephard's Lemma. c) Let w = 10 and r = 20. Find and graph the average and marginal cost functions.

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