# Question 4: (10 points) Consider identical firms competing in a Cournot oligopoly, with cost functions: C(q) = 10q, and corresponding marginal costs…

Question 4: (10 points)
Consider identical firms competing in a Cournot oligopoly, with cost functions: C(q) = 10q, and
corresponding marginal costs of: MC(q) = 10. The market elasticity of demand is: EM = -2.
(note: NOT the firmÃƒÂ¢s elasticity of demand, which is EF!)
a) Suppose you are a monopolist. Solve for the profit-maximizing price. (hint: a monopoly is
Cournot competition with only one firm, i.e. where N=1).
b) Now suppose another, identical firm, enters the market. Solve for the new profit maximizing
c) As more firms enter, the price falls. How many firms must be in the market for the price
to fall below: P = \$11? (hint: you can solve this by trial-and-error, i.e. testing a certain
number of firms, or by solving directly for N. Try solving for N directly. Also, ÃƒÂ° must be
an integer.)
1.a) Ã¢Ë†â€™1( PÃ¢Ë†â€™MC )=EdPÃ¢Ë†â€™1( PÃ¢Ë†â€™10)=2PP=2p-20P=20b)n=2 ( NÃ¢Ë†â€”Mc )P= ( N +1 )Ã¢Ë†â€”( 1 )Ed(2Ã¢Ë†â€”10)= ( 2+1 )Ã¢Ë†â€”( 1 )2=13.33c)n=3 firmsTR1=20q1-(10q1+10q2+10q3)…

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