In: Economics
Suppose two firms (Firm 1 and Firm 2) are producing a product. The total demand is: Q = 100 – P, where Q = Q1 + Q2. Each of the two firms has the cost function TC = 20Q. Based on the information given, calculate the equilibrium P, Q, Q1, Q2, Profit1 and Profit2 under monopoly (collusion), Cournot, and Stackelberg. For the Stackelberg model, assume that Firm 1 is the leader and Firm 2 is the follower.
Show all your workings to gain full marks.