Exam 6: Producer Behavior

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Suppose the wage rate is $25 per hour and the rent on capital is $50 per hour. The equation for the isocost line is given by:

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Which of the following is a Cobb-Douglas production function?

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Suppose the production function for a bakery is: Q = 4K0.4L0.6 where Q is the number of loaves of bread produced per day, K is the number of ovens, and L is the number of workers employed. Use calculus for the following: a. determine a function for the marginal product of labor b. determine a function for the marginal product of capital c. find the marginal rate of technical substitution d. discuss how MRTSLK changes as the firm uses more labor, holding output constant

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Use the following to answer question: Figure 6.17 Use the following to answer question: Figure 6.17   -(Figure 6.17) The cost-minimizing combination of capital and labor to produce 10 units of output is _____ and _____, respectively, given prices of $10 and $50, respectively. What is the total cost? -(Figure 6.17) The cost-minimizing combination of capital and labor to produce 10 units of output is _____ and _____, respectively, given prices of $10 and $50, respectively. What is the total cost?

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Suppose the firm's production function is Q = K1/3L2/3, where the MPK = Suppose the firm's production function is Q = K<sup>1/3</sup>L<sup>2/3</sup>, where the MPK =   and MP<sub>L</sub> =   .  and MPL = Suppose the firm's production function is Q = K<sup>1/3</sup>L<sup>2/3</sup>, where the MPK =   and MP<sub>L</sub> =   .  . Suppose the firm's production function is Q = K<sup>1/3</sup>L<sup>2/3</sup>, where the MPK =   and MP<sub>L</sub> =   .

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You've been asked by your manager to choose between the following three production functions based on returns to scale: Q = 10K2L1 Q = 10K0.5L0.5 Q = 10K0.25L0.5 She would like you to choose the one that exhibits increasing returns to scale and to provide evidence to support your decision.

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Consider the production function Q = Af(K, L). Which of the following statements is (are) TRUE? Consider the production function Q = Af(K, L). Which of the following statements is (are) TRUE?

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Between 1994 and 2008, the share of the workforce employed in manufacturing _____ and manufacturing output _____.

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The production function given by Q = 10(0.7K2 + 0.3L2)0.5 has _____ returns to scale.

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Here is a copy of your friend's class notes on the nine basic assumptions of producer behavior: Here is a copy of your friend's class notes on the nine basic assumptions of producer behavior:   Because your friend was half-asleep during class, she may have errors in her notes. Correct the errors in her notes where necessary. Because your friend was half-asleep during class, she may have errors in her notes. Correct the errors in her notes where necessary.

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Using a Lagrangian equation for a firm's cost minimization problem, you can solve for all of the following EXCEPT:

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Use the following to answer question: Table 6.5 Use the following to answer question: Table 6.5   -(Table 6.5) The short-run production situation for a firm is listed on this table. Complete the table. -(Table 6.5) The short-run production situation for a firm is listed on this table. Complete the table.

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Suppose the production function for a bakery is: Q = 4K0.4L0.6 where Q is the number of loaves of bread produced per day, K is the number of ovens, and L is the number of workers employed. a. Suppose that the wage rate is $5 per hour and the rental rate of capital is $10 per hour. If the bakery wants to produce 4,000 loaves of bread, what is the cost-minimizing bundle of capital and labor? b. Derive the firm's expansion path.

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The short-run production function for a firm is given by Q = 10L0.5. What is the marginal product?

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A firm spends $12,000 per day producing a good. The wage rate per worker is $200 per day and rental per unit of capital is $600 per day. The equation for the firm's isocost line would be _____.

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Use the following to answer question: Figure 6.12 Use the following to answer question: Figure 6.12   -(Figure 6.12) A technological change is represented by the movement from point _____ to point _____. -(Figure 6.12) A technological change is represented by the movement from point _____ to point _____.

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For the production function Q(K,L) = 3K + 2L, the marginal product of labor is:

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Suppose the production function for a car manufacturer is: Q = 2K2L2 where Q is the number of cars produced, K is the number of machine hours used, and L is the number of worker hours used. 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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Use the following to answer question: Figure 6.9 Use the following to answer question: Figure 6.9   -(Figure 6.9) Which of the following statements is (are) TRUE?  -(Figure 6.9) Which of the following statements is (are) TRUE? Use the following to answer question: Figure 6.9   -(Figure 6.9) Which of the following statements is (are) TRUE?

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Use the following to answer question: Figure 6.5 Use the following to answer question: Figure 6.5   -(Figure 6.5) Suppose a firm spends $4,000 per day producing a good. The wage rate per worker is $200 per day and rental rate per unit of capital is $500 per day. The firm's isocost line at the current expenditure level is represented by: -(Figure 6.5) Suppose a firm spends $4,000 per day producing a good. The wage rate per worker is $200 per day and rental rate per unit of capital is $500 per day. The firm's isocost line at the current expenditure level is represented by:

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