Q1 to Q6 are based on this problem.

The manager of the Albuquerque Union (AU) wants to determine how many part-time tellers to employ to cover the peak demand time in its lobby from 11:00 am to 2:00 pm. AU currently has three full-time tellers that handle the demand during the rest of the day, but during this peak demand time customers have been complaining that the wait time for service is too long. The manager at AU has determined that customers arrive according to a Poisson distribution with an average of 60 arrivals per hour during the peak period. Each teller services customers at a rate of 24 per hour, with service times following an exponential distribution.

Which of the following statement regarding this problem is not true?

Group of answer choices

A. M/M/S model is suitable to analyze this problem.

B. lambda equals 60

C. mu equals 24

D. M/M/1 model should be used to analyze the problem.

Question 2

On average, how long must customers wait in line before service begins?

Group of answer choices

A. 3.5113 minutes

B. 4.5887 minutes

C. 5.7663 minutes

D. 1.5578 minutes

Question 3

Once the service begins for a customer, how long does it take to complete the transaction, on average?

Group of answer choices

A. 2.5 minutes

B. 3.5 minutes

C. 1.5 minutes

D. 4.5 minutes

Question 4

If one part-time teller is hired to work during the peak time period, what effect would this have on the average amount of time a customer spends waiting in the queue?

Group of answer choices

A. The average waiting time in the queue is reduced by 0.5331 minutes

B. The average waiting time in the queue is reduced by 2.9782 minutes.

C. The average waiting time in the queue is reduced by 1.7339 minutes.

D. The average waiting time in the queue is increased by 2.9782 minutes.

Question 5

If one part-time teller is hired to work during the peak time period, what is the average amount of time a customer spends in the system?

Group of answer choices

A. 3.0331 minutes

B. 2.0998 minutes

C. 2.7789 minutes

D. 1.8894 minutes

Question 6

If one part-time teller is hired to work during the peak time period, what effect would this have on the average amount of time it takes to serve a customer?

Group of answer choices

A. No effect.

B. The service time is reduced by 0.2 minutes.

C. The service time is reduced by 0.5 minutes.

D. The service time is reduced by 0.75 minutes