Problem 4: The registration area has just opened at a large convention center. There are two employees (servers) that will help with the registration. There are 72 people arriving per hour (Poisson distributed), and the cost of their waiting time in queue is valued at $120 per person per hour. The convention center pays $25 per hour to each employee to register guests. It takes about one minute to register an attendee (exponentially distributed) and a single waiting line is set up:

Answer questions 36, 37,38,39 and 40 based on Problem 4:

36. The average number of customers in queue (Lq) with two servers is 0.6748

True

False

37. The total cost for the system, per hour, with these two servers is $ 130.98

True

False

38. If an additional server is added, the average number of customers in queue (Lq) (with three servers) will be 0.004

True

False

39. The total cost for the system, per hour, with these three servers is $ 78.25

True

False

40.We cannot say that three is the optimal number of servers for this system

True

False