Exam 7: Costs

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Suppose the short-run production function is q = 10 ∗ L.If the wage rate is $10 per unit of labor,then AVC equals

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D

When diminishing marginal returns set in,

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D

Marginal cost is equal to

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C

Suppose the short-run production function is q = L0.5.If the marginal cost of producing the tenth unit is $5,what is the wage per unit of labor?

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Explain why in the case of economies of scope the production possibility frontier is bowed outward.

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Which of the following statements best explains why long-run average cost is never greater than short-run average cost?

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Sam's company produces output with labor and capital.At the current quantities of labor and capital,the following information is obtained: the output produced by spending one more dollar on labor exceeds the output produced by spending one more dollar on capital.In the long run,is Sam minimizing costs? If not,explain how capital and labor should change (holding output constant)and how this relates to the Sam's company produces output with labor and capital.At the current quantities of labor and capital,the following information is obtained: the output produced by spending one more dollar on labor exceeds the output produced by spending one more dollar on capital.In the long run,is Sam minimizing costs? If not,explain how capital and labor should change (holding output constant)and how this relates to the    condition. condition.

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Alison lives in a small town where she plans to hire workers to help her make candy.Her production function for candy is q = 4LK.5 She begins producing with K = 4.The cost of capital is $50/unit.The wage depends on the amount of workers she employs.Specifically,w(L)= 10 + 2L. a.Does Alison's production function exhibit diminishing marginal return to labor? Explain. b.Derive Alison's short-run cost function. c.What is the shape of Alison's Marginal Cost. d.Does the relationship w/MP = MC hold? Show this explicitly.

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The Nifty Gum Co.has purchased a large parcel of land for $1 million.The company recently discovered that the land is contaminated and is worthless to all possible buyers.The opportunity cost of the land is

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If average cost is decreasing,

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A local non-profit group prints a weekly newsletter.Professional typists earn $10 per hour and can type 2 pages per hour.Unpaid volunteers can type only 1 page per hour.Measuring hours of professional typist services on the vertical axis and hours of unpaid volunteer typist services on the horizontal axis,draw the relevant isoquant and isocost curves if the newsletter is 10 pages long.What input mix is chosen by the non-profit group if they wish to minimize the cost of the newsletter? If the group will reimburse volunteers for expenses (lunch,driving),how much must the reimbursement be for your answer to change?

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Consider a general Cobb-Douglas production function q = ALaKb where A,a and b are positive constants. Using this production function,derive the short-run cost function for a fixed capital stock,K0,wage rate w,and capital rental rate r.

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If a production function is represented as q = Lα Kβ,the long-run average cost curve will be horizontal as long as

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Suppose the short-run production function is q = 10 ∗ L.If the wage rate is $10 per unit of labor,then MC equals

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If the total cost of production for 1000 widgets is $2000 and marginal cost is constant at $1,what is the average fixed cost for the 1000 widgets?

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Simon is given a free ticket to see Coldplay Saturday night.He already has a ticket to see Sting in concert that night.The Sting ticket cost Simon $50 though he would have paid as much as $80 to go to the show.Simon knows that he can easily sell the Sting ticket on Craigslist for $60.What is his opportunity cost of seeing Coldplay?

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When a firm produces one unit,the variable cost is $3.When the firm produces two units,the variable cost is $6.What is the marginal cost associated with two units of production?

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A production possibilities frontier that is a downward-sloping straight line implies

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After employing her last laborer,Rachel notices that her Average Product has decreased.True or False: Her marginal cost is greater than her average variable cost.

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A production possibilities frontier that is a bowed-inward line implies

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