ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN: 9780190931919
Author: NEWNAN
Publisher: Oxford University Press
expand_more
expand_more
format_list_bulleted
Related questions
Question
![Consider the following production function:
\[ q = 9LK + 6L^2 - \left( \frac{1}{3} \right) L^3 \]
Assuming capital is measured on the vertical axis and labor is measured on the horizontal axis, determine the value of the marginal rate of technical substitution when \( K = 25 \) and \( L = 15 \).
MRTS = – [ \_\_\_ ] (Enter a numeric response using a real number rounded to two decimal places.)](https://content.bartleby.com/qna-images/question/1858a710-c111-4513-9004-6c10bf7d1d6e/2212a06d-e743-4d75-9470-b90a0ef3cc91/u7ixwr9_processed.png)
Transcribed Image Text:Consider the following production function:
\[ q = 9LK + 6L^2 - \left( \frac{1}{3} \right) L^3 \]
Assuming capital is measured on the vertical axis and labor is measured on the horizontal axis, determine the value of the marginal rate of technical substitution when \( K = 25 \) and \( L = 15 \).
MRTS = – [ \_\_\_ ] (Enter a numeric response using a real number rounded to two decimal places.)
Expert Solution
arrow_forward
Step 1: Define key term:
The marginal rate of technical substitution is the rate at which one input can be substituted for another while keeping the level of output constant.
Step by stepSolved in 3 steps with 1 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.Similar questions
- 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?arrow_forwardConsider the following production function: Assume capital is fixed at K = 25. At what level of employment does the marginal product of labor equal zero? The marginal product of labor equals zero when L= q=48LK+20L2 3 (3) ₁³. (Enter a numeric response using an integer.)arrow_forwardConsider the augmented production function Y equals A K to the power of 1 divided by 3 end exponent open parentheses H N close parentheses to the power of 2 divided by 3 end exponent, where Y is output, A is total factor productivity, K is capital, N is the number of workers, and H is average years of education. Suppose that A=2, K=8, and N=1000. What is the average product of labor (or output per worker) if H is 15.7?arrow_forward
- At 76 units of labor, a firm finds that average product of labor equals 39.6 and marginal product of labor equals 42.9. We can conclude that the average product curve at 76 units of labor is:A)upward-sloping.B)downward-sloping.C)vertical.D)horizontal. Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.arrow_forwardAssume the following production function (photo aswell) q = [0.3k^(-1)+ 0.7l ^(-1)] ^(-1) a) Determine the rate of technical substitution, RTS. b) Determine the elasticity of substitution. c) What would happen to the capital intensity if the relative factor price w/v were to increase by 10%? d) If the elasticity of substitution were higher than what you calculated in (b), would the effect of a 10% increase in the relative factor price w/v on the capital intensity be higher or lower than what you calculated in (c)? Explain your reasoning.arrow_forwardIm so confused what I am doing wrong I need help.arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
Principles of Economics (12th Edition)EconomicsISBN:9780134078779Author:Karl E. Case, Ray C. Fair, Sharon E. OsterPublisher:PEARSON
Engineering Economy (17th Edition)EconomicsISBN:9780134870069Author:William G. Sullivan, Elin M. Wicks, C. Patrick KoellingPublisher:PEARSON
Principles of Economics (MindTap Course List)EconomicsISBN:9781305585126Author:N. Gregory MankiwPublisher:Cengage Learning
Managerial Economics: A Problem Solving ApproachEconomicsISBN:9781337106665Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike ShorPublisher:Cengage Learning
Managerial Economics & Business Strategy (Mcgraw-...EconomicsISBN:9781259290619Author:Michael Baye, Jeff PrincePublisher:McGraw-Hill Education
Principles of Economics (12th Edition)
Economics
ISBN:9780134078779
Author:Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:PEARSON
Engineering Economy (17th Edition)
Economics
ISBN:9780134870069
Author:William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:PEARSON
Principles of Economics (MindTap Course List)
Economics
ISBN:9781305585126
Author:N. Gregory Mankiw
Publisher:Cengage Learning
Managerial Economics: A Problem Solving Approach
Economics
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Cengage Learning
Managerial Economics & Business Strategy (Mcgraw-...
Economics
ISBN:9781259290619
Author:Michael Baye, Jeff Prince
Publisher:McGraw-Hill Education