Exam 7: Costs and Cost Minimization

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Identify the truthfulness of the following statements. I.All fixed costs are sunk costs. II.All sunk costs are fixed costs.

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Which of the following statements correctly characterizes the solution to a cost minimization problem with an interior solution?

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A

A firm's production function is given by Q = KL.The marginal products of labor and capital are,respectively,MPL = K and MPK = L.The wage rate of labor is w = $10 and the rental rate of capital is r = $20.The firm wants to produce 1,800 units of output.What is the most efficient combination of labor and capital A firm's production function is given by Q = KL.The marginal products of labor and capital are,respectively,MP<sub>L</sub> = K and MP<sub>K</sub> = L.The wage rate of labor is w = $10 and the rental rate of capital is r = $20.The firm wants to produce 1,800 units of output.What is the most efficient combination of labor and capital   ? ?

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Let a firm use labor (L) and capital (K) as its only inputs to produce an output,Q.The cost of labor is w = $5 per labor hour and the cost of capital is r = $15 per machine hour.What is the equation of the $1.5million isocost line?

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A firm's production function is given by Q = KL.The marginal products of labor and capital are,respectively,MPL = K and MPK = L.The wage rate of labor is w = $10 and the rental rate of capital is r = $20.The firm wants to produce 1,800 units of output in the most efficient way possible.How much does the firm spend?

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The short-run is

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A firm's production process uses labor,L,and capital,K,and materials,M,to produce an output,Q according to the function Q = KLM,where the marginal products of the three inputs are MPL = KM,MPK = LM,and MPM = KL.The wage rate for labor is w = 2,the rental rate of capital is r = 1,and the cost of materials is m = 4 per unit.Let materials input be fixed now at M = 2.What is the cost minimizing level of capital that the firm must use to produce a target level of output,Q = 1600?

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The "equal bang per buck" condition refers to the firm equating

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A firm's production function is given by Q = KL.The marginal products of labor and capital are,respectively,MPL = K and MPK = L.The wage rate of labor is w = $10 and the rental rate of capital is r = $20.What is the most efficient combination of labor and capital A firm's production function is given by Q = KL.The marginal products of labor and capital are,respectively,MP<sub>L</sub> = K and MP<sub>K</sub> = L.The wage rate of labor is w = $10 and the rental rate of capital is r = $20.What is the most efficient combination of labor and capital   that also yields a cost of exactly $1000? that also yields a cost of exactly $1000?

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To derive the equation for an isocost line when the level of capital is plotted on the vertical axis and the level of labor is plotted on the horizontal axis,you should

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You decide to purchase a car for $12,000.Upon driving the car off of the lot,the resale value of the car falls to $9,000.After purchasing the car,the $12,000 purchase price represents a(n)

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When the elasticity of substitution between capital and labor is low,

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The long-run is

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You decide to purchase a new car for $12,000.Upon driving the car off of the lot,the resale value of the car falls to $9,000.The opportunity cost of purchasing the car is __________ and the opportunity cost of using the car is __________

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A firm's production function is given by Q = KL.The marginal products of labor and capital are,respectively,MPL = K and MPK = L.The wage rate of labor is w = $10 and the rental rate of capital is r = $20.The firm spends exactly $1000 in the most efficient way possible.How much output can the firm produce?

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An isocost line represents

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A high elasticity of substitution between capital and labor implies that labor demand will be

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Identify the truthfulness of the following statements. I.A firm decides to purchase a computer for $1,500 at the end of the month.The computer will be used for administrative purposes that do not vary with the volume of product that the firm makes.The computer has no re-sale value.This is a fixed cost.At the beginning of the month,this cost is non-sunk. II.A firm decides to purchase a computer for $1,500 at the beginning of the month.The computer will be used for administrative purposes that do not vary with the volume of product that the firm makes.The computer has no re-sale value.This is a fixed cost.At the end of the month,this cost is sunk.

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The cost-minimization problem of the firm is to

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Economic costs

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