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15. Maximizing Output The production function for a firm is f(1, k) = 121 + 20k - 12 - 2k2 The cost to the firm

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15. Maximizing Output The production function for a firm is f(1, k) = 121 + 20k - 12 - 2k2 The cost to the firm of / and k is 4 and 8 per unit, respectively. If the firm wants the total cost of input to be 88, find the greatest output possible, subject to this budget constraint. (You may assume that the critical point obtained does correspond to the maximum output.)

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