Question $5(6$ points$)$

The Arctic Flyers minor league hockey team has one box office clerk. $On$ average, $it$

takes $0\mathrm{.}10of$ a minute $to$ sell a ticket $to$ each customer that comes $to$ see a game.

For normal games, customers arrive $at$ the rate $of6$ per minute. Assume arrivals

follow the Poisson distribution and service times follow the exponential distribution.

$If$ a cashier $is$ paid $$20$ per hour and the customer waiting time $in$ the system $is$

valued $at$ $$30$ per hour, what $is$ the total cost $of$ system? Answer $in$ the spreadsheet.

Queueing Formulas:

Basic Relationships: $W_q=\frac{L_q}{},W_q=\frac{L}{}$

Single Channel: $P_0=(1-\frac{}{}),L_q=\frac{{}^2}{(-)},L=L_q+\frac{}{}$