that the two firms are able to form a cartel. Derive the output each firm will produce, the market price, and the total profit under the cartel solution.

Consider two firms, Firm A and Firm B, who compete as duopolists. Each firm produces a
homogeneous product.
The total inverse demand curve for the industry is P = 250 – (QA + QB). Firm A has a
total cost curve CA(Q) = 100 + Q2. Firm B has a total cost curve CB (QB) = 100 + 2QB.

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