Problem $7-17($Algo$)$

The Bijou Theater shows vintage movies. Customers arrive at the theater line at the rate of $70$ per hour. The ticket seller averages $40$

seconds per customer, which includes placing validation stamps on customers' parking lot receipts and punching their frequent

watcher cards. $($Because of these added services, many customers don't get in until after the feature has started.$)($Use the Excel

spreadsheet Queue Models.$)$

a$.$ What is the average customer time in the system?

Note: Round your answer to $2$ decimal places.

Average customer time

minutes

b$.$ What would be the effect on customer time in the system of having a second ticket taker doing nothing but validations and card

punching, thereby cutting the average service time to $25$ seconds?

Note: Round your answer to $3$ decimal places.

Average time in system

minutes

c$.$ What would be the customer time in the system if instead of the change in part $($b$),$ a second window was opened with each server

doing all three tasks?

Note: Do not round intermediate calculations. Round your answer to $3$ decimal places.

Average time in system

minutes

d$.$ Would system waiting time which is obtained in part $($c$)$ be less than you found in $($b$)?$

Yes

No