The aeen requests for an SUV is 2.2 hours, on average, with a standard deviation of 2.8 hours. There is no indication of a sy

(Car Rental Company) The airport branch of a car rental company maintains a fleet of 50SUVs. The interarrival time between requests for an SUV is 2.2 hours, on average, with astandard deviation of 2.8 hours. There is no indication of a systematic arrival pattern overthe course of a day. Assume that, if all S UVs are rented, customers are willing to wait untilthere is an SUV available. An SUV is rented, on average, for 3 days, with a standard deviationof I day.
a. What is the average number of SUVs parked in the company' s lot?
b. Through a marketing survey, the company has discovered that if it reduces its dailyrental price of $80 by $25, the average demand would increase to 1 2 rental requestsper day and the average rental duration will become 4 days. Is this price decrease warranted?Provide an analysis!
c . What is the average time a customer has to wait to rent an SUV? Please use the initialparameters rather than the information in (b).
d. How would the waiting time change if the company decides to limit all SUV rentalsto exactly 4 days? Assume that if such a restriction is imposed, the average interarrivaltime will increase to 3 hours, with the standard deviation changing to 3 hours.