Let a firm's production function Q (L)=12L^2-1/20L^3 (i.e. output as TL or the amount of production depends on the workforce, L, as Q is the number of people with a single production input). This function let be the foreground 0 ≤ L ≤ 200 for. Accordingly, A) What is the number of labour force (L*) that will make output (Q) the highest? B) what is the number of workers (L**) who will make the maximum amount of output per employee(i.e. Q (L)/L)? c) in both cases the output of the L* and L** values you find and the output per employee at the most how can you be sure it's high? Show me.

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
icon
Related questions
Question

Let a firm's production function Q (L)=12L^2-1/20L^3 (i.e. output as TL or
the amount of production depends on the workforce, L, as Q is the number of people with a single production input). This function
let be the foreground 0 ≤ L ≤ 200 for. Accordingly,
A) What is the number of labour force (L*) that will make output (Q) the highest?
B) what is the number of workers (L**) who will make the maximum amount of output per employee(i.e. Q (L)/L)?
c) in both cases the output of the L* and L** values you find and the output per employee at the most
how can you be sure it's high? Show me.

Expert Solution
steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Knowledge Booster
Input Substitution
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
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