Exam 7: Costs

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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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For the following, please answer "True" or "False" and explain why. -Short-run costs are never equal or lower than long-run cost.

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Consider a general cost function C(q),with Average Cost=C(q)/q.Prove using calculus that the quantity which minimizes the Average Cost function is also at the point where the Marginal Cost equals the Average Cost.To do this,first derive the necessary condition for the AC to be at a minimum.

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

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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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The long run average cost curve may initially slope downward due to

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Suppose MPL = 0.5 ∗ (q/L)and MPK = 0.5 ∗ (q/K).In the long run,the firm will hire equal amounts of capital and labor

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Marginal cost is equal to

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If the average cost of producing a good is increasing as a firm produces more of the good,then which of the following must be TRUE?

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What are the functions for MC and AC if TC = 100q + 100q²? Are the returns to scale increasing,decreasing,or constant?

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For the following, please answer "True" or "False" and explain why. -Four years after graduating from college you must decide if you want to go on as an accountant (your college major)or if you want to make a career change and become a singer.The cost of your education will matter for your decision.

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Suppose a firm can only vary the quantity of labor hired in the short run.An increase in the cost of capital will

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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 MRTS = w/r condition.

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For the following, please answer "True" or "False" and explain why. -The marginal cost curve intersects the average fixed cost curve at its minimum.

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Joey's Lawncutting Service rents office space from Joey's dad for $300 per month.Joey's dad is thinking of increasing the rent to $400 per month.As a result Joey's marginal cost of cutting grass will

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Suppose firm has a constant marginal product of labor - one additional worker adds four units of output given any initial quantity of workers.What do the average variable and marginal costs look like for this firm? Provide a graph of the MC and AVC.

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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 economies of scope,then which of the following must be true?

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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,an increase in the price of shovels will result in

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A paper company dumps nondegradable waste into a river that flows by the firm's plant.The firm estimates its production function to be: Q = 6KP, where Q = annual paper production measured in pounds,K = machine hours of capital,and P = gallons of polluted water dumped into the river per year.The firm currently faces no environmental regulation in dumping waste into the river.Without regulation,it costs the firm $7.50 per gallon dumped.The firm estimates a $30 per hour rental rate on capital.The firm produces 600 million pounds of paper per year.For this problem,consider the long-run production of output. a.Determine the firm's optimal ratio of wastewater to capital. b.Given the firm's output of 600 million lbs,how much capital and wastewater should the firm employ? c.How much will it cost the firm to produce the 600 million lbs of paper? d.The state environmental protection agency plans to impose a $7.50 fee for each gallon that is dumped (this is in addition to the current cost of $7.50).Assuming that the firm intends to maintain its same output level,how much capital and wastewater should the firm employ? e.How much will the firm pay in fees? What happens to the firm's cost as a result of the fee?

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Fixed costs are

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