12.5 Suppose that a firms production function is given by the Cobb-Douglas function q KL ,...

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12.5 Suppose that a firm’s production function is given by the Cobb-Douglas function q  KL ,

(where ,   0), and that the firm can purchase all the K and L it wants in competitive input markets at rental rates of v and w, respectively.

a. Show that cost minimization requires

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