There are more amusement parks in Orlando, Florida than anywhere else in the country. 10,000 visitors arrive daily and buy tickets for rides on the roller coasters. Suppose each ride requires one ticket. Each person's demand for rides is given by P-10-2Q, where P is the ticket price per ride and Q is the number of rides demanded. The average cost of providing rides on roller coasters is constant at $2 each person. (4 pts) Given the large number of amusement parks in Orlando, assume that the market for rides is perfectly competitive. What is the equilibrium ticket price and the total quantity of tickets sold in the market per day? What is the profit for each a. amusement part? b. (5 pts) Suppose that all parks are owned by one firm, Big D, who wants to maximize its total profit. What is the ticket price per ride that Big D would charge? What is the quantity of tickets sold in the market per day? What are the daily profits of Big D? C. (3 pts) Now, assume Big D decides to charge admission fee for each park, as well as a ticket price per ride. What is the optimal admission fee and ticket price to maximize profit? What are total daily profits to Big D? (Hint: by charging an admission fee but lower ticket price per ride, Big D can encourage customers to take more rides compare to part b.)