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A firm producing cars. The production function for shoes (Q) is: Q = K'² L2 where K is capital and L is labor. The price of K is $8 and the price of L is $2. a. What type of production function is this? b. Does this production function exhibit constant, increasing or decreasing returns to scale? Explain. c. What is the average product of capital, average product of labor, marginal product of capital, and marginal product of labor?

A firm producing cars. The production function for shoes (Q) is: Q = K'² L2 where K is capital and L is labor. The price of K is $8 and the price of L is $2. a. What type of production function is this? b. Does this production function exhibit constant, increasing or decreasing returns to scale? Explain. c. What is the average product of capital, average product of labor, marginal product of capital, and marginal product of labor?

Microeconomics: Private and Public Choice (MindTap Course List)
Microeconomics: Private and Public Choice (MindTap Course List)
16th Edition
ISBN:9781305506893
Author:James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Publisher:James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Chapter8: Costs And The Supply Of Goods
Section: Chapter Questions
Problem 19CQ
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I need the answers of a,b,c

4. A firm producing cars. The production function for shoes (Q) is: Q = K2 L"2 where K is capital and L is labor. The price of K is $8 and the price of L is $2. a. What type of production function is this? b. Does this production function exhibit constant, increasing or decreasing returns to scale? Explain. c. What is the average product of capital, average product of labor, marginal product of capital, and marginal product of labor? d. Does capital obey the "law of diminishing returns?" Explain. e. Suppose that firm wants to produce 144 cars, how much K and L should be employed to minimize costs? f. What is the minimum cost of producing 144 cars? g. Now suppose that firm is faced with the same problem as in (e and f) except that firm has a fixed amount of K. In fact, K = 16. How much L should be employed to minimize costs, and what is the total cost.
Transcribed Image Text:4. A firm producing cars. The production function for shoes (Q) is: Q = K2 L"2 where K is capital and L is labor. The price of K is $8 and the price of L is $2. a. What type of production function is this? b. Does this production function exhibit constant, increasing or decreasing returns to scale? Explain. c. What is the average product of capital, average product of labor, marginal product of capital, and marginal product of labor? d. Does capital obey the "law of diminishing returns?" Explain. e. Suppose that firm wants to produce 144 cars, how much K and L should be employed to minimize costs? f. What is the minimum cost of producing 144 cars? g. Now suppose that firm is faced with the same problem as in (e and f) except that firm has a fixed amount of K. In fact, K = 16. How much L should be employed to minimize costs, and what is the total cost.
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