A movie theater as a local monopoly faces two groups of moviegoers, students and nonstudents. The students' demand function for movie tickets is Qs = 200 - 20ps, and the non-students' demand function is 2n = 100 - 5pn. The theater incurs zero marginal cost of serving additional customer, but there is a fixed cost of showing a movie at $100. The movie theater charges a uniform ticket price to both students and non- students. (1) Sum the demand functions of the two groups of moviegoers. (ii) To maximize profit, how many tickets will be sold to students and non-students and at what price? (iii) What will be the movie theater's profit from uniform pricing