6. Two firms, Firm 1 and Firm 2 and are engaged in Cournot competition. The inverse demand they are facing is given by p= 50-q, with p being the price of the good, and q being total quantity demanded, given by q = 9₁ +92, where q₁ and q2 are the productions of firm 1 and 2 respectively. The total cost of firm 1 is TC1(91) = q and of firm 2 is TC2 (92) = 292. (a) Find the Cournot equilibrium and the price that corresponds to it. (b) Find the Lerner Index of each firm.

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6. Two firms, Firm 1 and Firm 2 and are engaged in Cournot competition. The inverse demand they are
facing is given by p = 50-q, with p being the price of the good, and q being total quantity demanded,
given by q = 91 +92, where 9₁ and 92 are the productions of firm 1 and 2 respectively. The total cost
of firm 1 is TC1(91) = q and of firm 2 is TC₂ (92) = 292.
(a) Find the Cournot equilibrium and the price that corresponds to it.
(b) Find the Lerner Index of each firm.
Transcribed Image Text:6. Two firms, Firm 1 and Firm 2 and are engaged in Cournot competition. The inverse demand they are facing is given by p = 50-q, with p being the price of the good, and q being total quantity demanded, given by q = 91 +92, where 9₁ and 92 are the productions of firm 1 and 2 respectively. The total cost of firm 1 is TC1(91) = q and of firm 2 is TC₂ (92) = 292. (a) Find the Cournot equilibrium and the price that corresponds to it. (b) Find the Lerner Index of each firm.
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