Exam 7: Costs

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Explain how a firm can have constant returns to scale in production and economies of scale in cost.

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In the short run,the point at which average cost is minimized,the line from the origin to the point on the

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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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In the short run,the point at which diminishing marginal returns to labor begin is the point at which the marginal cost curve

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Ed's construction company has the following short-run cost function: q³ - 10q² + 36q. a.What level of output will minimize the average cost? What is the AC at this point? b.Does the production process indicate diminishing returns? How can you tell?

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Suppose the cost of producing two goods,x and y,can be represented as C = ax + by + cxy.If there are diseconomies of scope,then which of the following must be true?

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Which of the following will cause the marginal cost curve of making cigarettes to shift?

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If the isoquants are straight lines or L-shaped,then a cost-minimizing firm will

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If a particular production process is subject to diminishing marginal returns to labor at every level of output,then at every level of output

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

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For the following, please answer "True" or "False" and explain why. -Economies of scale and Increasing Returns to Scale are the same thing looked at from either the production or cost perspective.

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If a firm buys a building so as to have office space for its workers,the monthly opportunity cost of the building is best measured as

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Sarah earns $40,000 per year working for a large corporation.She is thinking of quitting this job to work full time in her own business.She will invest her savings of $50,000 (which currently has an annual 10% rate of return)into the business.Her annual opportunity cost of this new business is

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Suppose the cost of producing two goods,x and y,can be represented as C = ax + by + cxy.If the measure of economies of scope,SC,is zero,then which of the following must be true?

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Carmela's pasta factory employs workers and pasta machines according to the following production function f(L,K)= L.⁵K.⁵ The hourly cost of capital is $10 and the hourly cost of workers is $40. a.Write out the Lagrangian for the cost-minimization problem. b.Derive the optimal capital to labor ratio.Describe the long-run output expansion path. c.Suppose Carmela wishes to produce 1000 units of pasta.How much labor and capital should she employ? How much will it cost to produce? d.An order arrives doubling the amount of pasta Carmela needs to produce.Assuming she is unable to purchase more capital,how much will it cost to meet the new production level? e.In the long-run,Carmela will be able to employ more capital as well as labor.If Carmela continues to produce 2000 units of output,how much will it cost in the long run? f.In words,explain why the cost in the long run is different than in the short run.

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Suppose the total cost of producing T-shirts can be represented as TC = 50 + 2q.The average cost of the 5th T-shirt is

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Which of the following will cause the average fixed cost curve of making cigarettes to shift?

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For the following, please answer "True" or "False" and explain why. -An accountant may amortize the expense of a durable good by dividing the total amount spent on the good by the number of years the good is expected to last.An economist may amortize the expense of a durable and never fully account for the total expense.

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After 2 years of operation,the workers in XYZ Co.become more adept because of their repeating work.As a result,the average cost of production is lowered due to

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At the XYZ Co.,a unit of capital costs three times as much as a unit of labor.If MPK = 10,MPL = 5,then this firm

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