Initially the system is empty and idle and the simulation is to run until exactly 500 cars of any type have completed their delays in the queue

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A one-pump gas station is always open and has two types of customers. A police car arrives every 30 minutes (exactly), with the first police car arriving at time 15 minutes. Regular (nonpolice) cars have exponential interarrival times with a mean of 5.6 minutes, with the first regular car arriving at time 0. Service times at the pump for all cars are exponential with a mean of 4.8 minutes. A car arriving to find the pump idle goes right into service, and regular cars arriving to find the pump busy join the end of a single queue. A police car arriving to find the pump busy, however, goes to the front of the line, ahead of any regular cars in line. [If there are already other police cars at the front of the line, assume that an arriving police car gets in line ahead of them as well.

(How could this happen?)] Initially, the system is empty and idle, and the simulation is to run until exactly 500 cars (of any type) have completed their delays in the queue. Estimate the expected average delay in the queue for each type of car separately, the expected time-average number of cars (of either type) in the queue, and the expected utilization of the pump.

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