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.

Principles of Economics, 7th Edition (MindTap Course List)
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Chapter22: Frontiers Of Microeconomics
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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?
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