A monopolist faces a market demand curve given by Q = 70 − P. a. What is the monopolist’s marginal revenue function? [Remember: the convention is that we write Rev(Q) and MR(Q). I.e., as a function of Q] b. Suppose the total cost is described by TC = 0.5Q^2 − 5Q + 100. What price-quantity combination will be chosen to maximize profits? c. What is the consumer surplus? What is the producer surplus?

Survey Of Economics
10th Edition
ISBN:9781337111522
Author:Tucker, Irvin B.
Publisher:Tucker, Irvin B.
Chapter8: Monopoly
Section: Chapter Questions
Problem 4SQ
icon
Related questions
Question

A monopolist faces a market demand curve given by Q = 70 − P.
a. What is the monopolist’s marginal revenue function? [Remember: the
convention is that we write Rev(Q) and MR(Q). I.e., as a function of Q]
b. Suppose the total cost is described by
TC = 0.5Q^2 − 5Q + 100.
What price-quantity combination will be chosen to maximize profits?
c. What is the consumer surplus? What is the producer surplus? [For this question,
you can decide to count or not count the fixed cost TC(0) of producing nothing. Both are
fine.]

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 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.
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
Microeconomics
Microeconomics
Economics
ISBN:
9781337617406
Author:
Roger A. Arnold
Publisher:
Cengage Learning
Economics (MindTap Course List)
Economics (MindTap Course List)
Economics
ISBN:
9781337617383
Author:
Roger A. Arnold
Publisher:
Cengage Learning
Economics:
Economics:
Economics
ISBN:
9781285859460
Author:
BOYES, William
Publisher:
Cengage Learning