XYZ car wash company is run, owned, and operated by K. There is only one car washing station and there are no appointments, so the arrival pattern of customers is essentially random. Traditionally, the arrival rate had been about one customer every 20 minutes. Recently an industrial engineer prepared a report about the company that the XYZ company improved the business substantially. Currently, the arrival rate is closer to one customer every 15 minutes. Car wash requires an average of 30 minutes, but the times vary considerably depending on the type of the car and the customer's needs. For this reason, the exponential distribution seems to provide a reasonably good fit of the service time distribution. Ks customers have always been patient, but ever since business picked up, some have complained that the wait is too long. K is considering adding another car wash station into the business to improve customer service. Assume that the second station washes the cars at the same rate as the first one. a. How much has the quality of service declined since more customers have started using the shop. Use M/M/1 formulas. Find and evaluate p, L,w, WQ,LQ? b. How much improvement in the performance of the system are customers likely to see with an additional washing station. Use M/M/c formulas. Find L, w, WQ,LQ and comment on the results. (Hint: Use Po = 0.5)? =