A small clothing manufacturer employs a production method that is approximated by the following production function: q=12KL², where L measures the number of labor hours and K measures the number of rental hours for the machines used in the clothing construction process. Does this production process exhibit increasing, decreasing, or constant returns to scale? Briefly explain your answer. The hourly wage rate for workers at this company is $15; and the rental cost on the machines is $75 per hour. The company has a total budget of $3,150 that it can allocate to cover weekly production costs. The goal of the company's owner is to maximize their output, subject to the constraint of their production budget. Determine the output-maximizing levels of labor and capital the owner will employ.
A small clothing manufacturer employs a production method that is approximated by the following production function: q=12KL², where L measures the number of labor hours and K measures the number of rental hours for the machines used in the clothing construction process. Does this production process exhibit increasing, decreasing, or constant returns to scale? Briefly explain your answer. The hourly wage rate for workers at this company is $15; and the rental cost on the machines is $75 per hour. The company has a total budget of $3,150 that it can allocate to cover weekly production costs. The goal of the company's owner is to maximize their output, subject to the constraint of their production budget. Determine the output-maximizing levels of labor and capital the owner will employ.
Chapter22: Supply: The Costs Of Doing Business
Section: Chapter Questions
Problem 11E
Related questions
Question
100%
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps
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.Recommended textbooks for you
Exploring Economics
Economics
ISBN:
9781544336329
Author:
Robert L. Sexton
Publisher:
SAGE Publications, Inc
Exploring Economics
Economics
ISBN:
9781544336329
Author:
Robert L. Sexton
Publisher:
SAGE Publications, Inc
Microeconomics: Principles & Policy
Economics
ISBN:
9781337794992
Author:
William J. Baumol, Alan S. Blinder, John L. Solow
Publisher:
Cengage Learning
Essentials of Economics (MindTap Course List)
Economics
ISBN:
9781337091992
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning