Problem: An oligopoly exists with two firms, A and B. The demand function for these oligopolists is Q = 1000 - 40P.
1. If firm A's cost function is TC=3000+7Q, what quantity (Qa) will it produce and price (Pa) will it charge to maximize profits?
2. If firm B's cost function is TC=3000+5Q, what is this firm's profit or loss?
3. Which of these oligopolists is the leader in this industry, and why?