Suppose a firm’s production function is given by q = z1^0.2 * z2^0.3 . The market

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Suppose a firm’s production function is given by q = z1^0.2 * z2^0.3 . The market prices are given as Output price: p = 10 Input z1: w1 = 2 Input z2: w2 = 3

a. Find the cost function and the profit maximizing level of output using MR = MC. Use Lagransian to solve C= w1z1 + w2z2 subject to q = z1^0.2 * z2^0.3

.b. From π = T R − T C = pq − w1z1 − w2z2, find the profit maximizing level of output

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