Exam 6: The Theory and Estimation of Production Appendices 6A,6B,and 6C

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A firm using two inputs,X and Y,is using them in the most efficient manner when

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The marginal product of the variable input

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What does the expansion path represent?

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In the short run,finding the optimal amount of variable input involves which relationship?

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Which of the following is the best example of two inputs that would exhibit a constant marginal rate of technical substitution?

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The difference between the short-run and the long-run is

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A firm has two plants,one in the United States and one in Mexico,and it cannot change the size of the plants or the amount of capital equipment.The wage in Mexico is $5.The wage in the U.S.is $20.Given current employment,the marginal product of the last worker in Mexico is 100,and the marginal product of the last worker in the U.S.is 500. a.Is the firm maximizing output relative to its labor cost? Show how you know. b.If it is not,what should the firm do?

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In a call center,which of the following situations can be considered as a variable input in the short run?

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Number of Workers Output 0 0 1 50 2 110 3 300 4 450 5 590 6 665 7 700 8 725 9 710 10 705 -Based on the table above,if the wage rate is $500 and the price of output is $5,how many workers should the firm hire?

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Which of the following combination of inputs is most closely reflective of decreasing marginal rate of technical substitution (MRTS)?

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Decreasing returns to scale

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An isoquant indicates different combinations of

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Q = K1/2L1/2 w = $2,r = $2 The firm would like to know the minimum cost of producing 2000 units of output.Find the combination of inputs that minimizes the cost of producing 2000 units,the total cost,and identify the expansion path.

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The production period in which at least one input is fixed in quantity is the

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The following Cobb-Douglas production function,Q = 1.8L0.74K0.36,exhibits

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When the law of diminishing returns takes effect

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For each of the following functions,describe returns to scale. a.Q = K + L b.Q = K1/2L3/4 c.Q = K2L

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Stage III of the short-run Production Function is

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A firm is making a long-run planning decision.It wants to decide on the optimal size of plant and labor force.It is considering building a medium-sized plant and hiring 100 workers.Engineering estimates suggest that at those levels,the marginal product of capital will be 100 and the marginal product of labor will be 75.If the wage rate is $5 and the rental rate on capital is $10,is the firm making the right decision? Support your answer.

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Which of the following is not true about the law of diminishing returns?

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