Problem
Panera bread makes annual revenues of over $2.8 billion and has over 140,000 employees. It is classified as operating in the Full-Service Restaurants industry. At the Fargo branch, customers(cars) arrive at the restaurant's drive-thru window every 3.5 minutes based on a Poisson distribution. Once they arrive at the window, the service time is exponentially distributed based on a rate of 4 minutes per transaction,
1) How many cars (customers) are most likely in line at any one point in time?
2) What is the probability that a driver (customer) will not have to wait for service?
3) Compute the average time waiting in the system.
4) What will be the average time in the system?