1. There is a rollercoaster ride, and there are 100 customers. For each customer, the number of rides he wants to take as a function of the price per ride is D(p) = 10-p. We assume that the cost of providing this activity is $2 per customer per ride. (a) Suppose there are many operators of this activity in the area, so that the market is compet- itive. What is the competitive equilibrium price? In equilibrium, how many rides does each customer take? What is the total number of rides taken? (b) Suppose now that there is only one operator, so that it is a monopolist. i. If the monopolist can set a price for each ride, what price should he choose? What's the maximum profit? What is the total number of rides taken? ii. If the monopolist can make a take-it-or-leave-it offer to each consumer by specifying the number of rides and the total price, what offer should he make? Is his profit higher or lower than in (b.i)? What is the total number of rides taken? iii. If the monopolist can require each customer to buy a ticket for entering the facility and then pay a per-ride fee for each ride, how much should he charge for the entry ticket and how much for each ride? Is his profit higher or lower than in (b.i) and in (b.ii)? What is the total number of rides taken