The registration area has just opened at a large convention of dentists in Florida. There are 96 people arriving per hour(passion distributed), and the cost of their waiting time in the queue is valued at $100per person per hour. The convention center provides server 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 optimal number of servers for this system? (a single server or multiple servers, if multiple server what is number of server?) b). what is the cost for the system, per hour, at the optimum number of server?