Question 20 (1 point)

An average of 24 customers per hour arrives at a bank branch office (Poisson arrival) and waits in a single line to be serviced by the first available teller. The average time for each teller to service a customer is 6 minutes (exponentially distributed). Each teller earns $160/day and the branch office assesses a cost of $50/day that a customer waits in the system.

What should be the minimum number of tellers on duty?

Question 20 options:

Question 21 (5 points)

Refer to the information in Question 20.

How many tellers should be on duty in the branch office to minimize the total cost for the waiting line system?

Question 21 options:

	1
	2
	3
	4

Question 22 (2 points)

Refer to the information in Question 20.

If the branch office is operating at its optimal configuration (decided in Question 21), determine the probability that at least one teller is busy.

Question 22 options:

	0.944
	0.823
	0.056
	0.023

Question 23 (2 points)

Refer to the information in Question 20.

If the branch office is operating at its optimal configuration (decided in Question 21), determine the average time spent in the system per customer.

Question 23 options:

	0.5 hours
	0.4532 hours
	0.205 hours
	0.2079 hours

Question 24 (2 points)

Refer to the information in Question 20.

If the branch office is operating at its optimal configuration (decided in Question 21), determine the average time spent in the waiting line per customer.

Question 24 options:

	0.1079 hours
	0.1030 hours
	0.0459 hours
	0.2045 hours