Exam 5: The Production Process and Costs

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For the cost function C(Q)= 1000 + 14Q + 9Q2 + 3Q3,what is the marginal cost of producing the fourth unit of output?

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The demand for an input is:

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The maker of Turbotax produces software that prepares federal income tax returns.In addition,it produces software that prepares various state income tax returns.Why doesn't it pay for the firm to specialize in federal software?

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The derivative,dAC(Q)/dQ = (1/Q2){Q(dC/dQ)− C(Q)},illustrates that when:

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Costs that are forever lost after they have been paid 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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Which of the following relations is the slope along a given isoquant?

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

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Suppose you are a manager of a factory.You purchase five (5)new machines at one million dollars each.If you can resell two of the machines for $500,000 and three of the machines for $200,000,what are the sunk costs of purchasing the machines?

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An accountant for a car rental company was recently asked to report the firm's costs of producing various levels of output.The accountant knows that the most recent estimate available of the firm's cost function is C(Q)=100+10Q+Q2C ( Q ) = 100 + 10 Q + Q ^ { 2 } ,where costs are measured in thousands of dollars and output is measured in thousands of hours rented. a.What is the average fixed cost of producing 2 units of output? b.What is the average variable cost of producing 2 units of output? c.What is the average total cost of producing 2 units of output? d.What is the marginal cost of producing 2 units of output? e.What is the relation between the answers to (a),(b),and (c)above? Is this a general property of average cost curves?

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You are the manager of a firm that sells output at a price of $40 per unit.You are interested in hiring a new worker who will increase your firm's output by 2,000 units per year.Several other firms also are interested in hiring this worker. a.What is the highest annual salary you should be willing to pay this worker to come to your firm? b.What will determine whether or not you actually have to offer this much to the worker to induce him to join your firm?

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The average product of capital of producing 2,991 units of output (find point B)in the table below is: 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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The Leontief production function implies:

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Economies of scale exist whenever long-run average costs:

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For given input prices,isocosts closer to the origin are associated with:

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Suppose that production for good X is characterized by the following production function,Q = 4K0.5L0.5,where K is the fixed input in the short run.If the per-unit rental rate of capital,r,is $86.80 and the per-unit wage,w,is $20,then the average total cost of using 25 units of capital and 49 units of labor is:

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The total costs for Morris Industries are summarized in the following table.Based on this information,fill in the missing entries in the table for fixed cost,variable cost,average fixed cost,average variable cost,average total cost,and marginal cost. (I) (2) (3) (4) (5) (6) (7) (8) Q RC VC TC AFC ADC ATC MC 0 1,000 10 2,000 20 2,500 30 4,000 40 6,000 50 10,000 60 15,000

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Suppose the cost function is C(Q)= 50 + Q − 10Q2 + 2Q3.What is the marginal cost of producing 10 units?

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The Cobb-Douglas production function is:

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For the cost function C(Q)= 75 + 4Q + 2Q2,the marginal cost of producing 5 units of output is:

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