Exam 7: Costs

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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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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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In the long run,fixed costs are

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Suppose that each worker must use only one shovel to dig a trench,and shovels are useless by themselves.In the long run,the firm's cost function is

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Suppose that capital and labor must be kept in a fixed proportion to produce a particular good.For example,digging a trench requires one worker who has one shovel.What does this imply about returns to scale?

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Applications to MBA programs rose during the economic downturn in 2008.This is best explained by:

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Which of the following statements is NOT TRUE?

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If a pharmaceutical firm is researching ways to improve its heartburn medicine and discovers a technique that will improve its allergy medicine,one could conclude that economies of scope exist in that industry.

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Which of the following does NOT represent a possible shape of the long-run average cost curve?

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If average cost is positive,

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Sam and Erica are starting a new restaurant in Portland,Oregon.While Sam plans to do the cooking himself,he will need to employ workers and machinery to produce food.He estimates his production function as: q = 15L.25K Sam is able to accumulate $10,000 to finance the business.Workers cost $10 and capital costs $50. a.If Sam wishes to produce the most output with the finances available,how much labor and capital should Sam employ? Use a Lagrangian to solve this problem. b.Does this bundle of capital and labor also minimize the costs? Explain using a graph.

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Explain why the marginal cost curve intersects a U-shaped average cost curve at its minimum point.

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Determine the output expansion path (equation)for a Cobb-Douglas production function f(L,K)= 10LaK1-a.How does the shape of the output expansion path change as "a" changes?

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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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Suppose the total cost of producing T-shirts can be represented as TC = 50 + 2q.Which of the following statements is TRUE at all levels of production?

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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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A consumer purchases a book by driving across town to a bookstore,standing in line for five minutes to pay the cashier,and then pays $5.The same book is purchased by another consumer who spends two minutes placing the order over the Internet for $10.The book necessarily cost the first consumer less.

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

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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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This question has you determine the effect of a tax on labor on the long-run cost function.Consider a firm with the production function f(L,K)= LK.The wage rate and rental rate on capital are w and r,respectively. a.Using the Lagrangian,derive the long-run cost function for this firm. b.Suppose the government taxes labor at by an amount t per unit of labor.Rewrite the long-run cost function including the tax.Hint: the effective wage rate is now w + t. c.Compute the marginal effect of the tax on the long-run cost function.To do so,compute the partial derivative of the cost function with respect to t.Does an increase in the tax increase the cost linearly?

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