The registration area has just opened at a large convention of building contractors in Banff. There are

110

people arriving per hour (Poisson distributed), and the cost of their waiting time in the queue is valued at

$55

per person per hour as while waiting they are able to watch a juggler who keeps them entertained. The juggler is paid

$14

per hour. The local convention bureau provides servers to register guests at a fee of

$25

per person per hour. It takes about

two

minute(s) to register an attendee (exponentially distributed). A single waiting line, with multiple servers, is set up.

Part 2

a) What is the optimal number of servers?

The optimal number of servers is

enter your response here.

(Enter

your response as a whole

number.)

Part 3

b) What is the cost for the system, per hour, at the optimal service level?

For the optimum number of servers, the total cost per hour is

$enter your response here.

(Enter your response rounded to the nearest dollar.)