Exam 7: Production Theory and Estimation

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A firm wants to minimize the cost of producing 2,800 units of output per week. It has hired a production engineer to identify alternative production technologies that will accomplish this goal. The production technologies use the different combinations of capital (K) and labor (L) that are listed below. K 100 90 80 70 60 50 40 30 20 10 8 L 8 9 11 14 18 23 30 40 55 80 90 Assume that the rental price of capital is $5 and the wage rate of labor is $4. Determine the minimum cost of producing 2,800 units of output and then show how the combination of inputs that yield the minimum cost can be determined using the marginal approach.

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