Two monopolistically competitive firms face the same demand and total revenue functions but face different total cost functions. These demand, total revenue, and cost functions are given below.
P = 25 - 0.25Q
TR = 25Q - 0.25Q2
Total cost function of firm 1: TC1 = 4,000 + 5Q
Total cost function of firm 2: TC2 = 3,000 + 7Q
- Find the optimal (profit maximizing or cost minimizing) output of each firm,.
- Find the price that each firm charges at the when producing the optimal output.
- Find the total profit or loss of each firm at the optimal output.