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.
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.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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![### Problem 2
Joshua owns a small boat and catches lobster off the coast of Maine. His weekly cost function is given by:
\[ TC(q) = 40 + 5q + 5q^2. \]
He sells his lobsters to the local wholesaler at the market price \( p \) (in dollars).
#### Questions:
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F36d93af9-1c60-4c54-a265-7600bbfc6b68%2F2207feb5-0f7d-4f8f-9588-7c764a537c94%2Fm7hgkah_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem 2
Joshua owns a small boat and catches lobster off the coast of Maine. His weekly cost function is given by:
\[ TC(q) = 40 + 5q + 5q^2. \]
He sells his lobsters to the local wholesaler at the market price \( p \) (in dollars).
#### Questions:
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.
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