As a manager of a chain of movie theaters that are monopolies in their respective markets, you have noticed much higher demand on weekends than during the week. You therefore conducted a study that has revealed two different demand curves at your movie theaters.

On weekends, the inverse demand function isP =20 0.001Q;

on weekdays, it isP =15 0.002Q.

You acquire legal rights from movie producers to show their films at a cost of $25,000 per movie, plus a $2.50 "royalty" for each moviegoer entering your theaters (the average moviegoer in your market watches a movie only once). Devise third degree pricing strategy to maximize your firm's profits, calculate the price and quantity under this strategy and show your calculations.