Microeconomics
13th Edition
ISBN: 9781337617406
Author: Roger A. Arnold
Publisher: Cengage Learning
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Question
Chapter 6.4, Problem 1ST
To determine
The income elasticity of demand.
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A firm operates with the production function Q = K2 L. Q is the number of units of output per day when the firm rents K units of capital and employs L workers each day. The manager has been given a production target: to produce 8,000 units per day. She knows that the daily rental price of capital is $400 per unit and the wage rate is $200 day.
a. What is the returns to scale of this production function? Show mathematically.
b. Currently the firm employs 80 workers per day. What is the firm’s daily total cost if it rents just enough capital to produce at its target?
c. Compare the marginal product per dollar spent on K and on L when the firm operates at the input choice in part (b). What does this suggest about the way the firm might change its choice of K and L if it wants to reduce the total cost in meeting its target? Explain your answer very clearly.
d. In the long run, how much K and L should the firm choose if it wants to minimize the cost of producing 8,000 units of output a day?…
Chapter 6 Solutions
Microeconomics
Ch. 6.1 - On Tuesday, the price and quantity demanded are 7...Ch. 6.1 - What does a price elasticity of demand of 0.39...Ch. 6.1 - Prob. 3STCh. 6.1 - Prob. 4STCh. 6.2 - Prob. 1STCh. 6.2 - Prob. 2STCh. 6.4 - Prob. 1STCh. 6.4 - Prob. 2STCh. 6.4 - Prob. 3STCh. 6.4 - Prob. 4ST
Ch. 6 - Prob. 1QPCh. 6 - For each of the following, identify where demand...Ch. 6 - Prove that price elasticity of demand is not the...Ch. 6 - Prob. 4QPCh. 6 - Prob. 5QPCh. 6 - Suppose a straight-line downward-sloping demand...Ch. 6 - Prob. 7QPCh. 6 - Prob. 8QPCh. 6 - Prob. 9QPCh. 6 - Prob. 10QPCh. 6 - Suppose you learned that the price elasticity of...Ch. 6 - Prob. 12QPCh. 6 - Prob. 13QPCh. 6 - Prob. 14QPCh. 6 - A college raises its annual tuition from 23,000 to...Ch. 6 - As the price of good X rises from 10 to 12, the...Ch. 6 - The quantity demanded of good X rises from 130 to...Ch. 6 - The quantity supplied of a good rises from 120 to...Ch. 6 - In the accompanying figure, what is the price...
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