Suppose that the production function for Hannah and Sam's home remodeling business is Q=FL.K) Q=10/0.2 0.3 Assume the wage rate is $8,000 per week and the cost of renting a unit of capital is $2,000 per week. a. What is the least-cost input combination for remodeling 100 square feet each week? Instructions: Round your answers to 2 decimal places. units of labor and units of capital. b. What is the total cost? Instructions: Round your answer to 2 decimal places. $

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
icon
Related questions
Question
Suppose that the production function for Hannah and Sam's home remodeling business is:

\[Q = f(L, K)\]

\[Q = 10L^{0.2}K^{0.3}\]

Assume the wage rate is $8,000 per week and the cost of renting a unit of capital is $2,000 per week. 

a. What is the least-cost input combination for remodeling 100 square feet each week?

*Instructions: Round your answers to 2 decimal places.*

\[ \_\_\_\_ \] units of labor and \[ \_\_\_\_ \] units of capital.

b. What is the total cost?

*Instructions: Round your answer to 2 decimal places.*

\[ \$ \_\_\_\_ \]
Transcribed Image Text:Suppose that the production function for Hannah and Sam's home remodeling business is: \[Q = f(L, K)\] \[Q = 10L^{0.2}K^{0.3}\] Assume the wage rate is $8,000 per week and the cost of renting a unit of capital is $2,000 per week. a. What is the least-cost input combination for remodeling 100 square feet each week? *Instructions: Round your answers to 2 decimal places.* \[ \_\_\_\_ \] units of labor and \[ \_\_\_\_ \] units of capital. b. What is the total cost? *Instructions: Round your answer to 2 decimal places.* \[ \$ \_\_\_\_ \]
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Cost-minimizing Input Choice
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
  • SEE MORE QUESTIONS
Recommended textbooks for you
ENGR.ECONOMIC ANALYSIS
ENGR.ECONOMIC ANALYSIS
Economics
ISBN:
9780190931919
Author:
NEWNAN
Publisher:
Oxford University Press
Principles of Economics (12th Edition)
Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON
Engineering Economy (17th Edition)
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)
Principles of Economics (MindTap Course List)
Economics
ISBN:
9781305585126
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
Managerial Economics: A Problem Solving Approach
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-…
Managerial Economics & Business Strategy (Mcgraw-…
Economics
ISBN:
9781259290619
Author:
Michael Baye, Jeff Prince
Publisher:
McGraw-Hill Education