Please show all work and graphs if necessary. I believe this is Price discrimination

2. Suppose a monopolistic movie theater serves two groups of movie-goers, adults and children. The demand of adults for movies is p, = 200 '91 , and the demand of children is p, =100 q, . 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? (0) Evaluate the social welfare with and without price discrimination