1. Suppose a short-run production function is described as Q = 40L 0.04L2 where L is the number of labors used each hour.

Survey Of Economics
10th Edition
ISBN:9781337111522
Author:Tucker, Irvin B.
Publisher:Tucker, Irvin B.
Chapter6: Proudction Costs
Section: Chapter Questions
Problem 2SQP
icon
Related questions
Question
1. Suppose a short-run production function is described as Q40L 0.04L2 where L is the number of
labors used each hour.
Transcribed Image Text:1. Suppose a short-run production function is described as Q40L 0.04L2 where L is the number of labors used each hour.
a.
Derive the equation for Marginal Product of labor (MPL):
b.
Determine the amount of labor (L) at which total output is maximized (Qmax).
C.
If each unit of output (Q) has a marginal revenue (price) of $5 and the marginal cost of
labor (MCL) is $28 per L, what is the optimal amount of labor (L) or this firm to employ?
Transcribed Image Text:a. Derive the equation for Marginal Product of labor (MPL): b. Determine the amount of labor (L) at which total output is maximized (Qmax). C. If each unit of output (Q) has a marginal revenue (price) of $5 and the marginal cost of labor (MCL) is $28 per L, what is the optimal amount of labor (L) or this firm to employ?
Expert Solution
steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Knowledge Booster
Factors Of Production
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
Recommended textbooks for you
Survey Of Economics
Survey Of Economics
Economics
ISBN:
9781337111522
Author:
Tucker, Irvin B.
Publisher:
Cengage,
Micro Economics For Today
Micro Economics For Today
Economics
ISBN:
9781337613064
Author:
Tucker, Irvin B.
Publisher:
Cengage,
Economics For Today
Economics For Today
Economics
ISBN:
9781337613040
Author:
Tucker
Publisher:
Cengage Learning
Principles of Economics 2e
Principles of Economics 2e
Economics
ISBN:
9781947172364
Author:
Steven A. Greenlaw; David Shapiro
Publisher:
OpenStax
Microeconomics: Private and Public Choice (MindTa…
Microeconomics: Private and Public Choice (MindTa…
Economics
ISBN:
9781305506893
Author:
James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Publisher:
Cengage Learning
Economics: Private and Public Choice (MindTap Cou…
Economics: Private and Public Choice (MindTap Cou…
Economics
ISBN:
9781305506725
Author:
James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Publisher:
Cengage Learning