A firm's total revenues depend on the amount produced (q) according to the function R=240 q-q^(2) Total costs also depend on q:C=q^(2)+60 q+120 a) What level of output should the firm produce in order to maximize profits? What will profits be? b) Show that the second order conditions for a maximum are satisfied at the output level found in part b)

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter2: Mathematics For Microeconomics
Section: Chapter Questions
Problem 2.2P
icon
Related questions
Question

A firm's total revenues depend on the amount produced (q) according to the function R=240 q-q^(2) Total costs also depend on q:C=q^(2)+60 q+120 a) What level of output should the firm produce in order to maximize profits? What will profits be? b) Show that the second order conditions for a maximum are satisfied at the output level found in part b)

Note:-

  • Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism.
  • Answer completely.
  • You will get up vote for sure.
Expert Solution
steps

Step by step

Solved in 4 steps with 2 images

Blurred answer
Knowledge Booster
Marginal Approach
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
Microeconomic Theory
Microeconomic Theory
Economics
ISBN:
9781337517942
Author:
NICHOLSON
Publisher:
Cengage
Managerial Economics: Applications, Strategies an…
Managerial Economics: Applications, Strategies an…
Economics
ISBN:
9781305506381
Author:
James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
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
Economics (MindTap Course List)
Economics (MindTap Course List)
Economics
ISBN:
9781337617383
Author:
Roger A. Arnold
Publisher:
Cengage Learning
Microeconomics
Microeconomics
Economics
ISBN:
9781337617406
Author:
Roger A. Arnold
Publisher:
Cengage Learning
Micro Economics For Today
Micro Economics For Today
Economics
ISBN:
9781337613064
Author:
Tucker, Irvin B.
Publisher:
Cengage,