What is the optimal output and profit for firm


Assume there are 3 firms. P=30-Q , TC1=2Q1, TC2=2Q2, TC3=2Q3,

MC1=MC2=MC3=2. Firm 1 moves first. Firm 2 and 3 make decisions after observing firm 1's output.

What's the optimal output and profit for firm 1,2,and 3? and if firm 2 and 3 collude with each other after observing firm 1's choice, what's Q1,Q2,Q3?

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Microeconomics: What is the optimal output and profit for firm
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