Question 1. Suppose that a monopoly firm supplies to two different markets with the demand functions: Market 1: q1 = 100 – 2p1 + P2 (1.1) Market 2: q2 = 150 + P1 – 3p2 (1.2) (a) Derive the inverse demand functions for both markets, and explain the relationship between the demand for the two goods. Assume that the firm's cost function is (q, + q2)² .

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
icon
Related questions
Question
I need the full answers of all parts correct and fast please
Question 1.
Suppose that a monopoly firm supplies to two different markets with the demand
functions:
Market 1: q, = 100 – 2p1 +P2
(1.1)
Market 2: q2 = 150 + p1 – 3p2
(1.2)
(a) Derive the inverse demand functions for both markets, and explain the
relationship between the demand for the two goods.
Assume that the firm's cost function is (q1 + 92)².
(b) Derive the profit-maximizing outputs, prices and the maximum profit. Show that it
is true maximum.
(c) Suppose there is a restriction of q2 < 20 in the market for good 2. What is the
impact on the firm's output in both the markets, as well as on the maximum
profit?
Now suppose the firm has a resource constraint such that it can produce a maximum of
40 units of both goods in total, i.e., q, + q2 5 40.
(d) What is the impact on the firm's output in both markets, as well as on the
maximum profit? Compare this result with those in parts (b) and (c) above.
Transcribed Image Text:Question 1. Suppose that a monopoly firm supplies to two different markets with the demand functions: Market 1: q, = 100 – 2p1 +P2 (1.1) Market 2: q2 = 150 + p1 – 3p2 (1.2) (a) Derive the inverse demand functions for both markets, and explain the relationship between the demand for the two goods. Assume that the firm's cost function is (q1 + 92)². (b) Derive the profit-maximizing outputs, prices and the maximum profit. Show that it is true maximum. (c) Suppose there is a restriction of q2 < 20 in the market for good 2. What is the impact on the firm's output in both the markets, as well as on the maximum profit? Now suppose the firm has a resource constraint such that it can produce a maximum of 40 units of both goods in total, i.e., q, + q2 5 40. (d) What is the impact on the firm's output in both markets, as well as on the maximum profit? Compare this result with those in parts (b) and (c) above.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Receipt
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
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