The registration area has just opened at a large convention of dentists in Tallahassee, Florida. One hundred dentists arrive per hour (Poisson distributed), and the cost of their waiting time in the queue is valued at $150 per person per hour. The Tallahassee Convention Center provides servers to register guests at a fee of $12 per person per hour. It takes about one minute to register an attendee (negative exponentially distributed). A single waiting line, with multiple servers, is set up.

What is the minimum number of servers for this system? [ Select ] ["1", "4", "3", "2"]

a. What is the optimal number of servers for this system based on evaluating waiting cost? [ Select ] ["4", "2", "3", "1"]

b. What is the cost waiting cost, per hour, at the optimum number of servers? [ Select ] ["$312.27", "$308.98", "$58.98", "$62.27"]

c. What is the down time per server at the minimum number of servers? [ Select ] ["33%", "9.1%", "18.8%", "83%"]

d. Based on the minimum number of servers, what is the average time that an attendee has to wait before being checked in, based on the number of minutes? [ Select ] ["2.27 minutes", ".04 of a minute", "2.63 seconds", "3.27 minutes"]