Problem $10-8($Algo$)$

The Bijou Theater shows vintage movies. Customers arrive at the theater line at the rate of $70$ per hour. The ticket seller averages $45$ 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 Exhibit $10\mathrm{.}9.$

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 the system

minutes