題組內容

4. Consider a monopolistic market. Based on market research, a film production company in Country B
obtains the following information:
Demand: P=2000-10Q
Total revenue: TR=2000Q-10Q2
Marginal revenue: MR=2000-20Q
Marginal cost: MC=200+10Q
where Q is the monopolist’s output, P is the output price.

(1) Find the price and quantity that maximize the company’s profit.