A firm uses two inputs, X1 and X2, to produce a good that is described by the production function: Q = f (X1, X2) = X1/2X1/4 12 The firm sells its output at $80 per unit: P = $ 80. The cost of input 1, X1, is $4. The cost of input 2. X2, is $2. (a) Solve for the profit - maximizing input mix, output, and profit. (b) Check the second-order conditions to verify that the profit is at a maximum

Microeconomics A Contemporary Intro
10th Edition
ISBN:9781285635101
Author:MCEACHERN
Publisher:MCEACHERN
Chapter7: Production And Cost In The Firm
Section: Chapter Questions
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\beta < 1. 16. A firm uses two inputs, X1 and X2, to produce a good that is described by the production function: Q = f (X1, X2) = X1/2X1/4 12 The firm sells its output at $80 per unit: P = $ 80. The cost of input 1, X1, is $4. The cost of input 2. X2, is $2. (a) Solve for the profit - maximizing input mix, output, and profit. (b) Check the second-order conditions to verify that the profit is at a maximum

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