Assume a firm has the following short-run production function: ) they would employ? ), what is the lowest level of labor ( q(L) = L + 2L² 3 Given the production function above, answer the following two questions: A) If this firm is going to maximize profits in the short-run by producing a strictly positive level of output ( Minimum level of labor = ) a wage of $10 ( ), what must be the price ( 9>0 Price = L B) Now suppose the firm must pay each unit a labor ( dollars L - w = 10 3 ). If this firm is maximizing their profits in the short-run by hiring 4 units of labor ( L = 4 L Р ) that they can charge for each unit of output they produce?

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
icon
Related questions
Question
Assume a firm has the following short-run production function:

\[ q(L) = L + 2L^2 - \frac{1}{3}L^3 \]

Given the production function above, answer the following two questions:

A) If this firm is going to maximize profits in the short-run by producing a strictly positive level of output \(( q > 0 )\), what is the lowest level of labor \(( L )\) they would employ?

Minimum level of labor = [ ]

B) Now suppose the firm must pay each unit of labor \(( L )\) a wage of $10 \(( w = 10 )\). If this firm is maximizing their profits in the short-run by hiring 4 units of labor \(( L = 4 )\), what must be the price \(( p )\) that they can charge for each unit of output they produce?

Price = [ ] dollars
Transcribed Image Text:Assume a firm has the following short-run production function: \[ q(L) = L + 2L^2 - \frac{1}{3}L^3 \] Given the production function above, answer the following two questions: A) If this firm is going to maximize profits in the short-run by producing a strictly positive level of output \(( q > 0 )\), what is the lowest level of labor \(( L )\) they would employ? Minimum level of labor = [ ] B) Now suppose the firm must pay each unit of labor \(( L )\) a wage of $10 \(( w = 10 )\). If this firm is maximizing their profits in the short-run by hiring 4 units of labor \(( L = 4 )\), what must be the price \(( p )\) that they can charge for each unit of output they produce? Price = [ ] dollars
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Labor Demand
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