5. There are N>1 firms. Each firm is a price taker. At price level p, the output of a firm is q = p-1 The demand function for the total output (across N firms) is 15- p, p<5 Q = 10, p> 5 Firms can only produce a nonnegative quantity of goods, and p must be nonnegative. (a) Compute the equilibrium price and quantity such that the quantity demanded equals quantity supplied. 1 (b) How much do the equilibrium price and quantity increase if N is increased by 1?

Calculus: Early Transcendentals
8th Edition
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Author:James Stewart
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Chapter1: Functions And Models
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5. There are N>1 firms. Each firm is a price taker. At price level p, the output of a firm is
q =p– 1
The demand function for the total output (across N firms) is
5 -р, р<5
Q =
10,
p > 5
Firms can only produce a nonnegative quantity of goods, and
p must be nonnegative.
(a) Compute the equilibrium price and quantity such that the quantity demanded equals quantity
supplied.
1
(b) How much do the equilibrium price and quantity increase if N is increased by 1?
Transcribed Image Text:5. There are N>1 firms. Each firm is a price taker. At price level p, the output of a firm is q =p– 1 The demand function for the total output (across N firms) is 5 -р, р<5 Q = 10, p > 5 Firms can only produce a nonnegative quantity of goods, and p must be nonnegative. (a) Compute the equilibrium price and quantity such that the quantity demanded equals quantity supplied. 1 (b) How much do the equilibrium price and quantity increase if N is increased by 1?
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