Please include all work, formulas and graphs

1. Suppose a monopolistic golf club serves two types of members in the same size: Type- 1 members' demand is pE 2100 9: , and type-2 members' demand is p2 = 50 q2. The club's marginal cost to serve one member is 10. If the club uses a two-part tari' policy to charge a xed membership fee plus a greens fee per round, what will be the membership fee? How much will be the greens fee? What is the club's prot? 2. Suppose a monopolistic movie theater serves two groups of movie-goers, adults and children. The demand of adults for movies is pi = 200 9'1 , and the demand of children is p2 =100q2 . Assume that the marginal cost of serving an additional patron, regardless whether it is an adult or child, is zero. (a) How much will be the adult ticket and child ticket if the theater is allowed to charge different prices for different age groups? (b) If the theater can only charge a uniform price for all age groups, how much is the ticket? (c) Evaluate the social welfare with and without price discrimination