= 3. Assume that the manufacturing of generic medicine XYZ is a perfectly competitive industry. Suppose that the annual demand for this medicine is given by: QD 1,450-30P. There are exactly a hundred manufacturers in the market. Each manufacturer has the same production costs. These are described by total and marginal cost functions of: C(q) = 2q² + 25q +2.5 and MC(q) = 5q + 25. a. Show that an individual firih in this industry maximizes profit by producing: q = -5 +0.2P. b. Derive the industry supply curve and show that it is: QS = -500 + 20P. c. Find the market price and aggregate quantity traded at the equilibrium price. II

Essentials of Economics (MindTap Course List)
8th Edition
ISBN:9781337091992
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter13: Firms In Competitive Markets
Section: Chapter Questions
Problem 11PA: Suppose that each firm in a competitive industry has the following costs: Total cost: TC = 50 + q2...
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3. Assume that the manufacturing of generic medicine XYZ is a perfectly competitive industry. Suppose that
the annual demand for this medicine is given by: QD = 1,450 - 30P. There are exactly a hundred
manufacturers in the market. Each manufacturer has the same production costs. These are described by
5
total and marginal cost functions of: C(q) = q² + 25q + 2.5 and MC(q) = 5q + 25.
a. Show that an individual firm in this industry maximizes profit by producing: q = -5 +0.2P.
b. Derive the industry supply curve and show that it is: QS = -500 + 20P.
c. Find the market price and aggregate quantity traded at the equilibrium price.
d.
How much output does each firm produce?
e.
f.
Calculate each firm's profit.
Using market demand and supply functions (QD, QS):
i. Graphically represent the equilibrium in the market;
ii. Calculate producer surplus; and
iii. Consumer surplus in this competitive equilibrium.
Li
11.
total cost and demand of an individual firm in
Transcribed Image Text:3. Assume that the manufacturing of generic medicine XYZ is a perfectly competitive industry. Suppose that the annual demand for this medicine is given by: QD = 1,450 - 30P. There are exactly a hundred manufacturers in the market. Each manufacturer has the same production costs. These are described by 5 total and marginal cost functions of: C(q) = q² + 25q + 2.5 and MC(q) = 5q + 25. a. Show that an individual firm in this industry maximizes profit by producing: q = -5 +0.2P. b. Derive the industry supply curve and show that it is: QS = -500 + 20P. c. Find the market price and aggregate quantity traded at the equilibrium price. d. How much output does each firm produce? e. f. Calculate each firm's profit. Using market demand and supply functions (QD, QS): i. Graphically represent the equilibrium in the market; ii. Calculate producer surplus; and iii. Consumer surplus in this competitive equilibrium. Li 11. total cost and demand of an individual firm in
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price
aggie to
d. How much output does each firm produce?
e. Calculate each firm's profit.
f.
Using market demand and supply functions (QD, QS):
i. Graphically represent the equilibrium in the market;
ii. Calculate producer surplus; and
iii.
Consumer surplus in this competitive equilibrium.
Transcribed Image Text:price aggie to d. How much output does each firm produce? e. Calculate each firm's profit. f. Using market demand and supply functions (QD, QS): i. Graphically represent the equilibrium in the market; ii. Calculate producer surplus; and iii. Consumer surplus in this competitive equilibrium.
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