[12] Consider a monopolist facing the demand given by Q = 250 5P, where Q is the quantity of the monopolist's product and P is the price. It will cost $200 to start production, and once the production starts, it will cost $10 per unit. a) [4] To maximize the profit, what price and quantity will the monopolist choose? b) [4] Calculate the deadweight loss. c) [4] Would the monopolist prefer to use an alternative pricing strategy? Explain