Exam 5: The Production Process and Costs

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Suppose the w = $20 and r = $30.The isocost line for a firm in this industry is:

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The manager of a national retailing outlet recently hired an economist to estimate the firm's production function.Based on the economist's report,the manager now knows that the firm's production function is given by Q=K1/2L1/2Q = K ^ { 1 / 2 } L ^ { 1 / 2 } and that capital is fixed at 1 unit. a.Calculate the average product of labor when 9 units of labor are utilized. b.Calculate the marginal product of labor when 9 units of labor are utilized. c.Suppose the firm can hire labor at a wage of $10 per hour and output can be sold at a price of $100 per unit.Determine the profit-maximizing levels of labor and output. d.What is the maximum price of capital at which the firm will still make nonnegative profits?

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Suppose the production function is given by Q = 4K + 3L.What is the average product of labor when 10 units of capital and 5 units of labor are employed?

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What is the value marginal product of labor if: P = $10,MPL = $25,and APL = 40?

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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?

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The production function in the table below exhibits negative marginal returns to capital over what output range? Production Function far God K Q =(\DeltaQ/\DeltaK) =(Q/K) Mverage Labor Capital Output Product of Capital Product of Capital 9 0 0 - - 9 10 57 5.7 5.70 9 20 324 26.7 16.20 9 30 657 33.3 9 40 1,072 41.5 26.80 9 50 1,524 45.2 30.48 9 60 1,976 45.2 32.93 9 70 2,391 41.5 34.16 9 80 2,724 33.3 34.05 9 90 2,991 33.23 9 100 3,048 5.7 30.48 9 110 3,016 -3.2 27.42 9 120 2,945 -7.1 24.54

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Inputs a manager may adjust in order to alter production are:

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Changes in the price of an input cause:

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Which of the following profit functions exhibits a linear production function?

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Variable factors of production are the inputs that a manager:

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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 variable cost of using 81 units of capital and 9 units of labor is:

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You have been hired to replace the manager of a firm that used only two inputs,capital and labor,to produce output.The firm can hire as much labor as it wants at a wage of $5 per hour and can rent as much capital as it wants at a price of $50 per hour.After you look at the company books,you learn that the company has been using capital and labor in amounts that imply a marginal product of labor of 50 and a marginal product of capital of 100.Do you know why the firm hired you?

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The creation of a new product is referred to as:

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Suppose the cost function is C(Q)= 50 + Q − 10Q2 + 2Q3.At 3 units of output,the marginal cost curve is:

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For a cost function C = 100 + 10Q + Q2,the marginal cost of producing 10 units of output is:

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For the cost function C(Q)= 100 + 2Q + 3Q2,the average fixed cost of producing 2 units of output is:

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The production function is Q = K.6 L.4.The marginal rate of technical substitution is:

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The combinations of inputs that produce a given level of output are depicted by:

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Suppose the production function is given by Q = 3K + 4L.What is the average product of capital when 10 units of capital and 10 units of labor are employed?

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Which of the following profit functions exhibits a Leontief production function?

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