All question are with regards to the following set up. There are two firms A and B. Firms compete in a Cournot Duopoly in Karhide. They set quantities A and qв. Inverse demand is P(9A + 9B) = 18 - 9A-9B and costs are C(q) = 3 * q for both firms. Firm B is a domestic firm (in Karhide,) and firm A is a foreign firm (from Orgoreyn.) The government of Karhide engages in a strategic trade intervention by giving firm B a per unit subsidy of s. (That is, when firm B produces and sells qв units, firm B receives a payment of s *qg from the government.) You must show your work at each step, unless the questions is followed by "No work required." (2) Assume that s = 0 (there is no subsidy.) (a) Write down firm A's profit function. (No work required.) (b) Find each firm's best response function. (You may do this directly or by setting s to zero in your expressions from (1b). (c) Solve for equilibrium outputs (9A, 93). You may either use the symmetry in this problem to assume a symmetric solution, or solve for firm B's best response and solve the two best responses simultaneously. (I recommend the first approach.)

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Please do question 2's a b and c please thank you!

All question are with regards to the following set up. There are two firms A and B. Firms
compete in a Cournot Duopoly in Karhide. They set quantities A and qB. Inverse demand is
P(9A + 9B) = 18 - 9A-9B and costs are C(q) = 3 * q for both firms. Firm B is a domestic firm
(in Karhide,) and firm A is a foreign firm (from Orgoreyn.) The government of Karhide engages
in a strategic trade intervention by giving firm B a per unit subsidy of s. (That is, when firm B
produces and sells qв units, firm B receives a payment of s* qg from the government.)
You must show your work at each step, unless the questions is followed by "No work required."
(2)
Assume that s = 0 (there is no subsidy.)
(a) Write down firm A's profit function. (No work required.)
(b) Find each firm's best response function. (You may do this directly or by setting s to zero in
your expressions from (1b).
(c) Solve for equilibrium outputs (993). You may either use the symmetry in this problem to
assume a symmetric solution, or solve for firm B's best response and solve the two best responses
simultaneously. (I recommend the first approach.)
Transcribed Image Text:All question are with regards to the following set up. There are two firms A and B. Firms compete in a Cournot Duopoly in Karhide. They set quantities A and qB. Inverse demand is P(9A + 9B) = 18 - 9A-9B and costs are C(q) = 3 * q for both firms. Firm B is a domestic firm (in Karhide,) and firm A is a foreign firm (from Orgoreyn.) The government of Karhide engages in a strategic trade intervention by giving firm B a per unit subsidy of s. (That is, when firm B produces and sells qв units, firm B receives a payment of s* qg from the government.) You must show your work at each step, unless the questions is followed by "No work required." (2) Assume that s = 0 (there is no subsidy.) (a) Write down firm A's profit function. (No work required.) (b) Find each firm's best response function. (You may do this directly or by setting s to zero in your expressions from (1b). (c) Solve for equilibrium outputs (993). You may either use the symmetry in this problem to assume a symmetric solution, or solve for firm B's best response and solve the two best responses simultaneously. (I recommend the first approach.)
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