The deli counter in BPH’s cafeteria has a ticket dispenser in order to maintain FCFS processing. The mean arrival rate during the morning hours is 84 per hour. Each server can handle an average of 30 customers per hour. Arrival and service rates can be reasonably well described by Poisson distributions, respectively. Assume that three servers are on duty.

a.What is the average time between arrivals? 

b.What is the average time a customer spends at the checkout counter? 

c.What is the system utilization? 

d.What is the average number of customers waiting for service? e. How many clerks would be necessary to keep the average time customers spend waiting in line to no more than 2.5 minutes? How many clerks would be needed to keep the average time customers spend in the system to under 2.5 minutes?