The Bijou Theater shows vintage movies. Customers arrive at the theater line at the rate of $80$ per hour. The ticket seller averages $32$ 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.$)$

What is the average customer time in the system?

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

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 $20$ seconds?

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

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.

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