Suppose that two firms produce a particular (homogeneous) product. The inverse demand function for the product is P = 100 -Q. The firms have marginal cost equal to 10. (a) Derive the Cournot Nash equilibrium quantities, and the corresponding price and profits. Show all work. (b) Suppose that the current price is the Cournot price you derived in part (a). Using the hypothetical monopolist test and assuming a 5% threshold for the test, does the good in question represent an antitrust market? Show all work and explain your answer. There are different ways to answer this question and any correct approach will be accepted. (c) Suppose more generally that marginal cost is equal to c. For what values of c will this product represent an antitrust market? Show your work and explain your answer.

ENGR.ECONOMIC ANALYSIS
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Author:NEWNAN
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Chapter1: Making Economics Decisions
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Suppose that two firms produce a particular (homogeneous)
product. The inverse demand function for the product is P = 100
-Q. The firms have marginal cost equal to 10.
(a) Derive the Cournot Nash equilibrium quantities, and the
corresponding price and profits. Show all work.
(b) Suppose that the current price is the Cournot price you
derived in part (a). Using the hypothetical monopolist test and
assuming a 5% threshold for the test, does the good in question
represent an antitrust market? Show all work and explain your
answer. There are different ways to answer this question and any
correct approach will be accepted.
(c) Suppose more generally that marginal cost is equal to c. For
what values of c will this product represent an antitrust market?
Show your work and explain your answer.
Maximum size for new files: 400MB
Files
Transcribed Image Text:Suppose that two firms produce a particular (homogeneous) product. The inverse demand function for the product is P = 100 -Q. The firms have marginal cost equal to 10. (a) Derive the Cournot Nash equilibrium quantities, and the corresponding price and profits. Show all work. (b) Suppose that the current price is the Cournot price you derived in part (a). Using the hypothetical monopolist test and assuming a 5% threshold for the test, does the good in question represent an antitrust market? Show all work and explain your answer. There are different ways to answer this question and any correct approach will be accepted. (c) Suppose more generally that marginal cost is equal to c. For what values of c will this product represent an antitrust market? Show your work and explain your answer. Maximum size for new files: 400MB Files
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