Exam 5: The Production Process and Costs

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If the production function is Q = KL and capital is fixed at 1 unit, then the marginal product of labor when L = 25 is

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Average fixed cost

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It is profitable to hire labor so long as the

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Given a cost function C(Q) = 200 + 14Q + 8Q2, what is the marginal cost function?

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The long-run is defined as

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What is the total cost of producing 125 units of output?

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Fixed costs exist only in:

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Constant returns to scale exist when long-run average costs

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The marginal cost curve

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You are an efficiency expert hired by a manufacturing firm that uses K and L as inputs.The firm produces and sells a given output.If w = $40, r = $100, MPL = 20, and MPK = 40 the firm:

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The production function for a competitive firm is Q = K.5L.5.The firm sells its output at a price of $10, and can hire labor at a wage of $5.Capital is fixed at one unit.The maximum profits are

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Economies of scope exist when

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In the text, we showed that the multiproduct cost function

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There are over 5,000 banks in the United States - more than 10 times the number per person than in other industrialized countries.A recent study suggests that the long-run average cost curve for an individual bank is relatively flat.If Congress took steps to consolidate banks, thereby reducing the total number to 2,500, what would you expect to happen to costs within the banking industry? Explain.

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The production function for good X in the above table exhibits increasing marginal returns to capital over what output range?

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What is implied when the total cost of producing Q1 and Q2 together is less than the total cost of producing Q1 and Q2 separately?

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Suppose the production function is given by Q = 3K + 4L.What is the average product of capital when 5 units of capital and 10 units of labor are employed?

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Suppose the cost function is C(Q) = 50 + Q - 10Q2 + 2Q3.What is the total cost of producing 10 units?

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Suppose you are a manager of a factory.You purchase five (5) new machines at one million dollars each.If you can resell two of the machines for $500,000 and three of the machines for $200,000, what are the sunk costs of purchasing the machines?

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For a cost function C = 100 + 10Q + Q2, the marginal cost of producing 10 units of output is

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