Suppose a production function is given by the equation Q = LVK. 1. Graph the isoquants corresponding to Q = 10, and Q = 20. 2. MP = √K and MP = 0.5(L/VK). Find the Marginal Rate of Technical Substitution LK (MRTSLK). Do these isoquants exhibit diminishing marginal rates of technical substitution? (Does the slope get flatter as L increases?) 3. The cost of labor is w = $5 per labor hour and the cost of capital is r = $15 per machine hour. What is the equation of the $1500 iso-cost curve?

Microeconomics A Contemporary Intro
10th Edition
ISBN:9781285635101
Author:MCEACHERN
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Chapter7: Production And Cost In The Firm
Section7.A: Appendix: A Closer Look At Production And Cost
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Suppose a production function is given by the equation Q = LVK.
1. Graph the isoquants corresponding to Q = 10, and Q = 20.
2. MP = √K and MP = 0.5(L/VK). Find the Marginal Rate of Technical Substitution LK
(MRTSLK). Do these isoquants exhibit diminishing marginal rates of technical substitution?
(Does the slope get flatter as L increases?)
3. The cost of labor is w = $5 per labor hour and the cost of capital is r = $15 per machine
hour. What is the equation of the $1500 iso-cost curve?
Transcribed Image Text:Suppose a production function is given by the equation Q = LVK. 1. Graph the isoquants corresponding to Q = 10, and Q = 20. 2. MP = √K and MP = 0.5(L/VK). Find the Marginal Rate of Technical Substitution LK (MRTSLK). Do these isoquants exhibit diminishing marginal rates of technical substitution? (Does the slope get flatter as L increases?) 3. The cost of labor is w = $5 per labor hour and the cost of capital is r = $15 per machine hour. What is the equation of the $1500 iso-cost curve?
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