Suppose in a perfectly competitive market with demand and supply as follows: 100 D(q) = %3D S(q) = Jā a. Find the equilibrium price and quantity (p*, q*)! b. Calculate consumer surplus, producer surplus, and total welfare at equilibrium. (Hint: Total welfare is the sum of consumer surplus and producer surplus). c. Find the quantity that maximizes the profit of the monopoly! Recalculate consumer
Suppose in a perfectly competitive market with demand and supply as follows: 100 D(q) = %3D S(q) = Jā a. Find the equilibrium price and quantity (p*, q*)! b. Calculate consumer surplus, producer surplus, and total welfare at equilibrium. (Hint: Total welfare is the sum of consumer surplus and producer surplus). c. Find the quantity that maximizes the profit of the monopoly! Recalculate consumer
Chapter24: Perfect Competition
Section: Chapter Questions
Problem 10E
Related questions
Question
E3
![Suppose in a perfectly competitive market with demand and supply as follows:
100
D(q) =
S(q) =
a. Find the equilibrium price and quantity (p*, q*)!
b. Calculate consumer surplus, producer surplus, and total welfare at equilibrium.
(Hint: Total welfare is the sum of consumer surplus and producer surplus).
c. Find the quantity that maximizes the profit of the monopoly! Recalculate consumer
surplus, producer surplus, and total welfare! Compare with the answers in point (b). What
can you conclude?
(Hint: The monopolist achieves maximum profit when MR(q) = MC(q) and monopolist
demand equals AR =
%3D
(q).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F39143d27-4ed0-4cb6-a256-365d5c101b35%2F84961f83-6bef-4bff-b151-2cc5525dd5c7%2Fxnja09a_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose in a perfectly competitive market with demand and supply as follows:
100
D(q) =
S(q) =
a. Find the equilibrium price and quantity (p*, q*)!
b. Calculate consumer surplus, producer surplus, and total welfare at equilibrium.
(Hint: Total welfare is the sum of consumer surplus and producer surplus).
c. Find the quantity that maximizes the profit of the monopoly! Recalculate consumer
surplus, producer surplus, and total welfare! Compare with the answers in point (b). What
can you conclude?
(Hint: The monopolist achieves maximum profit when MR(q) = MC(q) and monopolist
demand equals AR =
%3D
(q).
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