Problem 2 (10 Points) You are asked to perform a capacity analysis for Chapel Hill Car Wash. The following information about the service system has been gathered: Resource Parking capacity Pre-wash Standard Deluxe Drying Number 40 parking spots including cleaning stations 4 workers 5 machines 4 machines 6 workers Cars stay in the parking lot for an average of 40 minutes, and the parking lot can have at most 40 cars including the cleaning stations; all cars start in the parking lot. There are 4 workers in the pre-wash station, each can handle a prewash service in 5 minutes per car; all cars go through the pre-wash step. 80% of all cars want standard cleaning service and 20% of all cars want deluxe cleaning service. Standard cleaning takes 5 minutes for a standard cleaning machine (there are 5 standard cleaning machines) and Deluxe cleaning takes 30 minutes for a deluxe cleaning machine (there are 4 cleaning machines). There are 6 workers in the drying station, each can handle a drying service in 10 minutes per car; all cars go through the drying process. a. What is the capacity of each resource in car-arrivals per hour? (3 points) b. What is the system capacity in car-arrivals per hour? Which resource(s) is (are) the bottleneck(s)? (2 points) C. Assume the demand is equal to the system capacity of the car wash. What is the utilization of each resource? Please provide answers to 2 decimal points. (3 points) d. If you increase the number of units of the bottleneck resource(s) by 2, what is the new system capacity in car-arrivals per hour? (2 points)