Exam 5: The Production Process and Costs

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The marginal product of capital of producing 2,991 units of output (find point A) in the table below is: The marginal product of capital of producing 2,991 units of output (find point A) in the table below is:

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Suppose that production for good X is characterized by the following production function, Q = K0.5L0.5, where K is the fixed input in the short run. If the per-unit rental rate of capital, r, is $25 and the per-unit wage, w, is $15, then the average total cost of using 81 units of capital and 9 units of labor is:

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If the last unit of input increases total product, we know that the marginal product is:

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In 1995 the U.S. Justice Department sued to block a merger between Microsoft and Intuit, the producer of the nation's best-selling business software. The Justice Department argued that the merger would lessen competition and raise prices of business software. Is there an economic argument that the merger might actually result in lower prices? Explain.

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Isoquants are normally drawn with a convex shape because:

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What is the average product of labor, given that the level of labor equals 10, total output equals 1200, and the marginal product of labor equals 200?

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The demand for an input is:

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Which of the following sets of economic data is minimizing the cost of producing a given level of output?

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Larger firms can produce a product at lower average cost than small firms when:

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According to the table below, what is the marginal cost of producing 90 units of output? According to the table below, what is the marginal cost of producing 90 units of output?

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As the usage of an input increases, marginal product:

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If the marginal product per dollar spent on capital is less than the marginal product per dollar spent on labor, then in order to minimize costs the firm should use:

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Suppose that production for good X is characterized by the following production function, Q = K0.5L0.5, where K is the fixed input in the short run. If the per-unit rental rate of capital, r, is $25 and the per-unit wage, w, is $15, then the fixed cost of using 81 units of capital and 9 units of labor is:

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For the cost function C(Q) = 100 + 4Q + 19Q2 + 2Q3, what is the marginal cost of producing the fourth unit of output?

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The first-order conditions for maximizing profits, π = P × F(K, L) - wL - rK, are:

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Whenever an isoquant exhibits a diminishing marginal rate of technical substitution, the corresponding isoquants are:

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Suppose the marginal product of labor is 10 and the marginal product of capital is 8. If the wage rate is $5 and the price of capital is $2, then in order to minimize costs the firm should use:

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The manager of a meat-packing plant can use either butchers (labor) or meat saws (capital) to prepare packages of sirloin steak. Based on estimates provided by an efficiency expert, the firm's production function for sirloin steak is given by Q = K + L a. Graph the isoquant corresponding to 5 units of output. b. What is the marginal product of capital and labor? Does the answer depend on how much labor and capital are used? c. If the price of labor is $2 per hour and the rental price of capital is $3 per hour, how much capital and labor should be used to minimize the cost of producing 5 units of output?

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The feasible means of converting raw inputs such as steel, labor, and machinery into an output are summarized by:

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You are an efficiency expert hired by a manufacturing firm that uses K and L as inputs. The firm produces and sells a given output. If w = $40, r = $100, MPL = 20, and MPK = 40 the firm:

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