The registration area has just opened at a large convention of dentists in Tallahassee, Florida.
There are 96 people arriving per hour (Poisson distributed), and the cost of their waiting time in the queue is valued at $100 per person per hour. The Tallahassee Convention Center provides servers to register guests at a fee of $115 per person per hour. It takes about 30 seconds to register an attendee (negative exponentially distributed). A multiple servers system option and a single server option are available?
a) What is the optimal number of servers for this system? ( a single server or multiple servers , if multiple server what is number of servers?)
b) What is the cost for the system, per hour, at the optimum number of servers?