Joshua owns a small boat and catches lobster off the coast of Maine. His weekly cost function is TC(q) = 40 + 5q + 5q2. He sells his lobsters to the local wholesaler at the market price p %3D (in dollars). a) Find Joshua's short-run supply function for lobsters. (Hint: In this case short-run marginal cost is the same as long-run marginal cost.) b) Find Joshua's long-run supply function for lobsters. c) Find Joshua's shutdown price and Joshua's breakeven price (the price at which profit equals zero). d) Suppose the market price is $30, calculate his profit. What will Joshua do in the long run? Explain.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter11: Profit Maximization
Section: Chapter Questions
Problem 11.4P
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Joshua owns a small boat and catches lobster off the coast of Maine. His weekly cost function
is TC(q) = 40 + 5q + 5q?. He sells his lobsters to the local wholesaler at the market price p
(in dollars).
a) Find Joshua's short-run supply function for lobsters. (Hit: In this case short-run marginal
cost is the same as long-run marginal cost.)
b) Find Joshua's long-run supply function for lobsters.
c) Find Joshua's shutdown price and Joshua's breakeven price (the price at which profit
equals zero).
d) Suppose the market price is $30, calculate his profit. What will Joshua do in the long
run? Explain.
1
Transcribed Image Text:Joshua owns a small boat and catches lobster off the coast of Maine. His weekly cost function is TC(q) = 40 + 5q + 5q?. He sells his lobsters to the local wholesaler at the market price p (in dollars). a) Find Joshua's short-run supply function for lobsters. (Hit: In this case short-run marginal cost is the same as long-run marginal cost.) b) Find Joshua's long-run supply function for lobsters. c) Find Joshua's shutdown price and Joshua's breakeven price (the price at which profit equals zero). d) Suppose the market price is $30, calculate his profit. What will Joshua do in the long run? Explain. 1
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