a. c. Problem 1 (30 points) Consider the theme park example from class where the demand functions for each day are given in the table below. Assume that the park has invested in improvements that now allow them to have 1,500 customers per day instead of the original 1,000. Answer the following questions: Determine the optimal single price to charge for admission. b. What is the revenue, utilization and demand per day? Based on the total revenue the theme park earned with a single price when they only had capacity of 1,000, how many weeks will it take them to recoup the cost of the improvements provided that the improvements cost $100,000? d. Determine the optimal prices to charge for admission if you charge a different price for every day of the week. e. What is the revenue, utilization and demand per day? f. Based on the total revenue the theme park earned with a different price per day when they only had capacity of 1,000, how many weeks will it take them to recoup the cost of the improvements provided that the improvements cost $100,000? a. c. Problem 1 (30 points) Consider the theme park example from class where the demand functions for each day are given in the table below. Assume that the park has invested in improvements that now allow them to have 1,500 customers per day instead of the original 1,000. Answer the following questions: Determine the optimal single price to charge for admission. b. What is the revenue, utilization and demand per day? Based on the total revenue the theme park earned with a single price when they only had capacity of 1,000, how many weeks will it take them to recoup the cost of the improvements provided that the improvements cost $100,000? d. Determine the optimal prices to charge for admission if you charge a different price for every day of the week. e. What is the revenue, utilization and demand per day? f. Based on the total revenue the theme park earned with a different price per day when they only had capacity of 1,000, how many weeks will it take them to recoup the cost of the improvements provided that the improvements cost $100,000