1) Consider the following hypothetical industries which are both comprised by 8 firms. In industry A sales are given by 1000, 800, 600, 600, 450, 200, 100, 100 and in industry B by 2000, 500, 500, 200, 150, 150, 150, 100. (a) Calculate the five-firm concentration ratio for each industry. (b) Calculate each industry's H Index and the numbers equivalent. How can the latter be interpreted? (c) Which industry do you think exhibits the most concentration?

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
icon
Related questions
Question
100%
1) Consider the following hypothetical industries which are both comprised by 8 firms. In
industry A sales are given by 1000, 800, 600, 600, 450, 200, 100, 100 and in industry B
by 2000, 500, 500, 200, 150, 150, 150, 100.
(a) Calculate the five-firm concentration ratio for each industry.
(b) Calculate each industry's H Index and the numbers equivalent. How can the latter be
interpreted?
(c) Which industry do you think exhibits the most concentration?
2) We defined the Lerner Index as LI = 1/µ where u is the absolute value of the elasticity of
demand. We also showed that LI can be alternatively expressed as (P – MC)/P . Use these
relationships to show that LI can never exceed 1. What does this imply is the minimum
demand elasticity we should ever observe for a monopolist?
3) Consider a market comprised of three firms. Firm 1 produces and sells 23 units per period.
Firm produces and sells 19 units per period, while firm 3's periodic production and sales
are 15 units. The (inverse) market demand is estimated to be: P = 100 – Q, where Q = total
output = q1+ q2+ q3. Determine the market price and the elasticity of market demand as
well as the market share of each firm. Now use equation (3.5) to determine each firm's
marginal cost. What relation do you find between marginal cost and market share?
4) Monopoly Air is on record with the local transportation authority arguing that there is no
market need and no market room for an additional air service because even now, Monopoly
Airplanes are flying with only 60 percent of the seats typically booked. Hence, it argues that
the market is not large enough to sustain two efficient-sized air carriers.
Evaluate this argument. Why might Monopoly Air flights be so under-booked? Does this
prove that there is no “market room" for a new competitor?
5) Let the demand of an industry be described by Q(P)=48-P.
(a) Calculate the market output and priçe under monopoly assuming that the
monopolist's cost function is C(Q)=Q²/5+6Q+180. Find social welfare.
(b) Consider a perfectly competitive industry with n firms in which each firm's cost
function is C(q)=2q< +6q+18. Find the aggregate supply curve and compare to the
monopolist's marginal cost in (a).
(c) Calculate the market output and price in the long run under perfect competition
assuming that each firm's cost function is in (b). Find social welfare and compare to the
monopoly in (a).
(d) Determine the Lerner index corresponding to the industries in (a) and (c).
6) A monopolist with marginal costs of 4 sells to two different groups of consumers. Each
group has ten consumers. Individual demand of consumers in group A is given by
QA(P)=20-P and for consumers in group B by QB(P)=16-P.
(a) Suppose the monopolist cannot prevent arbitrage. Is price discrimination possible?
Calculate the market output(s), price(s) and profits.
(b) Suppose the monopolist can prevent arbitrage but does not know the type of consumers.
Is price discrimination possible? Calculate the market output(s), price(s) and profits.
(c) Suppose the monopolist can prevent arbitrage between groups but not within. Is
price discrimination possible? Calculate the market output(s), price(s) and profits.
(d) Suppose the monopolist can identify consumers and prevent arbitrage both between
and within groups. Is price discrimination possible? Calculate the market output(s),
price(s) and profits.
Transcribed Image Text:1) Consider the following hypothetical industries which are both comprised by 8 firms. In industry A sales are given by 1000, 800, 600, 600, 450, 200, 100, 100 and in industry B by 2000, 500, 500, 200, 150, 150, 150, 100. (a) Calculate the five-firm concentration ratio for each industry. (b) Calculate each industry's H Index and the numbers equivalent. How can the latter be interpreted? (c) Which industry do you think exhibits the most concentration? 2) We defined the Lerner Index as LI = 1/µ where u is the absolute value of the elasticity of demand. We also showed that LI can be alternatively expressed as (P – MC)/P . Use these relationships to show that LI can never exceed 1. What does this imply is the minimum demand elasticity we should ever observe for a monopolist? 3) Consider a market comprised of three firms. Firm 1 produces and sells 23 units per period. Firm produces and sells 19 units per period, while firm 3's periodic production and sales are 15 units. The (inverse) market demand is estimated to be: P = 100 – Q, where Q = total output = q1+ q2+ q3. Determine the market price and the elasticity of market demand as well as the market share of each firm. Now use equation (3.5) to determine each firm's marginal cost. What relation do you find between marginal cost and market share? 4) Monopoly Air is on record with the local transportation authority arguing that there is no market need and no market room for an additional air service because even now, Monopoly Airplanes are flying with only 60 percent of the seats typically booked. Hence, it argues that the market is not large enough to sustain two efficient-sized air carriers. Evaluate this argument. Why might Monopoly Air flights be so under-booked? Does this prove that there is no “market room" for a new competitor? 5) Let the demand of an industry be described by Q(P)=48-P. (a) Calculate the market output and priçe under monopoly assuming that the monopolist's cost function is C(Q)=Q²/5+6Q+180. Find social welfare. (b) Consider a perfectly competitive industry with n firms in which each firm's cost function is C(q)=2q< +6q+18. Find the aggregate supply curve and compare to the monopolist's marginal cost in (a). (c) Calculate the market output and price in the long run under perfect competition assuming that each firm's cost function is in (b). Find social welfare and compare to the monopoly in (a). (d) Determine the Lerner index corresponding to the industries in (a) and (c). 6) A monopolist with marginal costs of 4 sells to two different groups of consumers. Each group has ten consumers. Individual demand of consumers in group A is given by QA(P)=20-P and for consumers in group B by QB(P)=16-P. (a) Suppose the monopolist cannot prevent arbitrage. Is price discrimination possible? Calculate the market output(s), price(s) and profits. (b) Suppose the monopolist can prevent arbitrage but does not know the type of consumers. Is price discrimination possible? Calculate the market output(s), price(s) and profits. (c) Suppose the monopolist can prevent arbitrage between groups but not within. Is price discrimination possible? Calculate the market output(s), price(s) and profits. (d) Suppose the monopolist can identify consumers and prevent arbitrage both between and within groups. Is price discrimination possible? Calculate the market output(s), price(s) and profits.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Herfindahl - Hirschman Index
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