In-A-Jiffy Lube Inc offers both car wash and oil change services to its customers. It has 3 car wash bays, 1 service person working on oil changes, 1 person working on minor repairs and 1 cashier. Suppose arrival rate to the car wash facility is according to a Poisson Process with rate 10/hr. The arrival rate for the oil change is also a Poisson process with rate of 2/hr. While the oil change is being done, the service person also checks for some minor problems in the car. 20% of the cars tend to have a minor problem and these cars are sent to the minor repair facility. After the service is completed, all cars join a common queue to make their payment at cashier. The diagram below represents the service process at In-A-Jiffy. Car wash, Oil change and Minor repairs are exponentially distributed and take 15mins, 20mins and 30mins respectively. The payment process is also exponentially distributed and it takes 4min for the cashier to collect payment from a customer. Car wash bays Bay 1 = 10/hr Bay 2 Bay 3 Cashier 4 min 80% = 2/hr Oil Change 20min 20% Minor Repair 30min Figure 1: Jiffy Lube Process Diagram 1. What is the average time a car coming for car wash spends in the facility? 2. What is the average time a car that comes to get an oil change spends in the queue? 3. What is the average number of cars at Jiffy Lube (includes both queue and service)?