Please be specific and step by step

A monopolist has zero costs. including zero xed costs and zero marginal costs. The monopolist faces the following demand curve: p = 100 Zq. a. What is the monopolist's single-price prot-maximizing choice of q? What is the associated market price? How large are the monopolist's prots? b. Assume that the demand curve is composed of 50 people, each with a different willingness to pay for a single unit of the good (How do we know that there are 50 people?) i. If the monopolist can match each person to her willingness to pay. what sort of price discrimination will the monopolist use in order to maximize his prots? ii. Graph the monopolist's price discrimination choice. iii. How large are the monopolist's prots under this price discrimination scheme