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Question 2 ( Cournot competition ) . Assume demand is 1 0 0 - p . Two firms have constant but different marginal costs: cost

Question $2 ($ Cournot competition $) .$ Assume demand is $100 -$ p $.$ Two firms have constant but different marginal costs: cost function for firm $A$ is $10 q$ and cost function for firm $B$ is $15 q .$ Suppose in equilibrium the two firms produce $q_{A}$ and $q_{B}$ respectively. What are $q_{A}$ and $q_{B} ?$ What is the profit for each firm?

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