ou are the manager of a monopoly, and your demand and cost functions are given by P = 200 − 2Q and C(Q) = 1,400 + 2Q2, respectively.   a. What price-quantity combination maximizes your firm's profits? b. Calculate the maximum profits. c. Is demand elastic, inelastic, or unit elastic at the profit-maximizing price-quantity combination?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter14: Monopoly
Section: Chapter Questions
Problem 14.5P
icon
Related questions
Question

1.) You are the manager of a monopoly, and your demand and cost functions are given by P = 200 − 2Q and C(Q) = 1,400 + 2Q2, respectively.

 

a. What price-quantity combination maximizes your firm's profits?

b. Calculate the maximum profits.

c. Is demand elastic, inelastic, or unit elastic at the profit-maximizing price-quantity

combination?

 

2.) Determine the profit-maximizing output and price, and discuss its implications, if:

 

1.     You are a monopolistically competitive firm and the inverse demand is P = 100 - Q and your cost is C(Q) = 125 + 4Q2

2.     You are a monopoly and the inverse demand is P = 200 - Q and your cost is C(Q) = 150 + 4Q2

 

3.) Suppose the inverse demand function for two Cournot duopolists is given by P = 10 - (Q1 + Q2) and their costs are zero.

 

A.    What is each firm's marginal revenue and reaction functions?

 

B.    Determine the Cournot equilibrium outputs and equilibrium price. What is the implication of this model?

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Profit Maximization
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
Microeconomic Theory
Microeconomic Theory
Economics
ISBN:
9781337517942
Author:
NICHOLSON
Publisher:
Cengage
Micro Economics For Today
Micro Economics For Today
Economics
ISBN:
9781337613064
Author:
Tucker, Irvin B.
Publisher:
Cengage,
Survey Of Economics
Survey Of Economics
Economics
ISBN:
9781337111522
Author:
Tucker, Irvin B.
Publisher:
Cengage,
Economics For Today
Economics For Today
Economics
ISBN:
9781337613040
Author:
Tucker
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