Exam 6: Producer Behavior

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Which of the following statements is (are) TRUE, assuming the firm is choosing the optimal bundle of inputs that minimizes the cost of producing a given quantity of output? Which of the following statements is (are) TRUE, assuming the firm is choosing the optimal bundle of inputs that minimizes the cost of producing a given quantity of output?

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A firm has the production function Q = K0.1L0.9, where Q measures output, K represents machine hours, and L measures labor hours. Suppose that the wage rate is $45 and the firm wants to produce 100,000 units of output. Use calculus for the following: a. to derive the demand for capital b. to confirm that the demand for capital satisfies the law of demand c. What is the optimal level of capital if the rental rate on capital is $25?

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In the short run, the marginal product of labor:

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Suppose that a hot dog vendor uses a cart (K) and his time (L) to make and sell hot dogs. The vendor's production function is Suppose that a hot dog vendor uses a cart (K) and his time (L) to make and sell hot dogs. The vendor's production function is   , where Q is the number of hot dogs per day. Suppose that the rental on hot dog carts is $50 per day and that the vendor wants to produce 500 hot dogs per day. a. Use calculus to derive the demand for labor. b. Use calculus to show that the demand for labor satisfies the law of demand. , where Q is the number of hot dogs per day. Suppose that the rental on hot dog carts is $50 per day and that the vendor wants to produce 500 hot dogs per day. a. Use calculus to derive the demand for labor. b. Use calculus to show that the demand for labor satisfies the law of demand.

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Use the following to answer question: Figure 6.7 Use the following to answer question: Figure 6.7   -(Figure 6.7) The movement in the isocost line is caused by a(n): -(Figure 6.7) The movement in the isocost line is caused by a(n):

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(Figure 6.1) Which of the following statements is (are) TRUE? (Figure 6.1) Which of the following statements is (are) TRUE?

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If a firm is using a lot of capital and just a little labor, the marginal product of labor is_____ relative to the marginal product of capital making it _____ to substitute labor for capital.

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Which of the following statements is (are) TRUE? Which of the following statements is (are) TRUE?

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Use the following to answer questions 26-27: Figure 6.3 Use the following to answer questions 26-27: Figure 6.3   -(Figure 6.3) Which of the following statements is (are) TRUE?  -(Figure 6.3) Which of the following statements is (are) TRUE? Use the following to answer questions 26-27: Figure 6.3   -(Figure 6.3) Which of the following statements is (are) TRUE?

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Suppose the production function for a coffee shop is: Q = 2K + 5L where Q is the number of cups of coffee produced, K is the number of coffee makers, and L is the number of workers. Use calculus for the following: a. to determine a function for the marginal product of labor b. to determine a function for the marginal product of capital c. to find the marginal rate of technical substitution d. to discuss how MRTSLK changes as the firm uses more labor, holding output constant

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Capital cannot be adjusted in the short run because:

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Suppose a firm with a production function given by Q = 30K0.5L0.5 produces 1,500 units of output. The firm pays a wage of $40 per unit and pays a rental rate of capital of $640 per unit. How many units of labor and capital should the firm employ to minimize the cost of producing 1,500 units of output? (Note: Suppose a firm with a production function given by Q = 30K<sup>0.5</sup>L<sup>0.5</sup> produces 1,500 units of output. The firm pays a wage of $40 per unit and pays a rental rate of capital of $640 per unit. How many units of labor and capital should the firm employ to minimize the cost of producing 1,500 units of output? (Note:   ) )

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Use the following to answer question: Figure 6.18 Use the following to answer question: Figure 6.18   -(Figure 6.18) the MP<sub>L</sub> at point A is _____, and the AP<sub>L</sub> is _____. What do your results imply about how AP<sub>L </sub>will change with increased production? -(Figure 6.18) the MPL at point A is _____, and the APL is _____. What do your results imply about how APL will change with increased production?

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Suppose a firm's short-run production function is given by Q = 16L0.8. What is the marginal product of the fourth worker?

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The short-run production function for sea kayaks is given by Q = 30L0.5, where Q is the number of sea kayaks produced and L is the number of employees. Complete the table and draw the corresponding graphs. Round all answers to two decimal points. The short-run production function for sea kayaks is given by Q = 30L<sup>0.5</sup>, where Q is the number of sea kayaks produced and L is the number of employees. Complete the table and draw the corresponding graphs. Round all answers to two decimal points.

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Why are the slopes of isocost lines constant?

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Which of the following statements best exemplifies the firm's constrained minimization problem?

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Use the following to answer question: Figure 6.14 Use the following to answer question: Figure 6.14   -(Figure 6.14) Refer to the production function, which has a slope of 1/L<sup>0.5</sup>.  -(Figure 6.14) Refer to the production function, which has a slope of 1/L0.5. Use the following to answer question: Figure 6.14   -(Figure 6.14) Refer to the production function, which has a slope of 1/L<sup>0.5</sup>.

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Use the following to answer question: Table 6.2 Use the following to answer question: Table 6.2   -(Table 6.2) Which of the following statements is (are) TRUE? -(Table 6.2) Which of the following statements is (are) TRUE?

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Production is an extremely complicated task, so economists make a number of simplifying assumptions. Which of the following assumptions do economists make in their basic model of producer behavior? Production is an extremely complicated task, so economists make a number of simplifying assumptions. Which of the following assumptions do economists make in their basic model of producer behavior?

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