The airport branch of a car rental company maintains a fleet of 50 SUVs. The airport branch is open 24 hours a day. The interarrival time between requests for an SUV is 2.4 hours, on average, with a standard deviation of 2.4 hours. Assume that demand arrives in a similar pattern over the course of a 24 hour day. If all SUVs are rented, customers are willing to wait until there is an SUV available. An SUV is rented, on average, for 3 days with a standard deviation of 1 day. Required:
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 daily rental price of $80 by $25, the average demand would increase to 12 rental requests per 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 initial parameters rather than the infonnation in (b).
d. How would the waiting time change if the company decides to l imit all SUV rentals to exactly 4 days? Assume that if such a restriction is imposed, the average interarrival time will increase to 3 hours, with the standard deviation changing to 3 hours.