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1. At a busy car rental office, the time between customer arrivals averages 6 minutes. On average, a customer spends 4 minutes and 48 seconds in service (arranging the car rental). Assume Poisson arrivals and exponential service times.
a) What is the average arrival rate; what is the average service rate? Average arrival rate = Average service rate =
b) What is the average time a customer spends waiting in line if there was only one server and if there were two identical servers? Average time a customer spends waiting in line with 1 server = ________ minutes = ________seconds Average time a customer spends waiting in line with 2 servers = ________ minutes = ________seconds
c) Suppose the car rental office is open and staffed 18 hours each day, seven days a week. Suppose the car rental office staff is paid $20 per hour and the customer’s waiting time is valued at $30/hour. What is the total daily cost to provide the service (including cost for the rental office staff and for the customer’s waiting time) with 2 servers? Average total daily cost with 2 servers = ___________
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