On Echo Beach there are two ice-cream sellers, A & B. Echo Beach is two miles long running from east to west. Seller A is located half a mile from the east end of the beach whereas seller B is located half a mile from the west end. As it is hot, people are willing to pay up to $5 for an ice cream. There are 1000 people uniformly distributed along the beach. The cost of walking to the ice-cream seller is $0.5 per mile. The marginal cost of an ice cream to A&B is $2. (a) Derive demand curves for firms A & B (b) Write down the profit equations for firms A & B. (c) Derive the reaction functions for firm A & B.

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
icon
Related questions
Question
On Echo Beach there are two ice-cream sellers, A & B. Echo Beach is two miles long running from
east to west. Seller A is located half a mile from the east end of the beach whereas seller B is located
half a mile from the west end. As it is hot, people are willing to pay up to $5 for an ice cream. There
are 1000 people uniformly distributed along the beach. The cost of walking to the ice-cream seller is
$0.5
per
mile. The marginal cost of an ice cream to A&B is $2.
(a)
Derive demand curves for firms A & B
(b)
Write down the profit equations for firms A & B.
(c)
Derive the reaction functions for firm A & B.
(d)
State the Nash equilibrium prices for A & B.
(e)
What market share does firm A have in equilibrium? How many ice-creams does firm A sell?
Transcribed Image Text:On Echo Beach there are two ice-cream sellers, A & B. Echo Beach is two miles long running from east to west. Seller A is located half a mile from the east end of the beach whereas seller B is located half a mile from the west end. As it is hot, people are willing to pay up to $5 for an ice cream. There are 1000 people uniformly distributed along the beach. The cost of walking to the ice-cream seller is $0.5 per mile. The marginal cost of an ice cream to A&B is $2. (a) Derive demand curves for firms A & B (b) Write down the profit equations for firms A & B. (c) Derive the reaction functions for firm A & B. (d) State the Nash equilibrium prices for A & B. (e) What market share does firm A have in equilibrium? How many ice-creams does firm A sell?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Arrow's Impossibility Theorem
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