Question $142$ pts

For Questions $14-19$

Average arrival rate of customers now has reached $20$ per hour and Sunset Airlines must increase the capacity of its check$-$in system. Based on a customer survey, $$15$ per hour is considered the opportunity cost of waiting in queue. Clerks are paid $$10$ per hour and still process a passenger in four minutes. Evaluate the following check$-$in system alternatives to find the least expensive arrangement using total hourly costs of clerks and customers waiting in queue. Assume that the average service time of the single clerk remains unchanged at $4$ minutes. Also, please remember that the formula for total cost is: TC $=$ Cs$*$C $+$ Cw$*$Lq

First, consider a multiple queue configuration with two separate waiting lines and no customer jockeying. Assume demand is equally divided among the two clerks.

$($Hint: $2$ lines with M$/$M$/1$ configuration$)$

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The Waiting time in $($in hours$)$ for each of the two lines is:

Group of answer choices

$0\mathrm{.}05$

$0\mathrm{.}133$

$20\mathrm{.}25$

$21\mathrm{.}50$

$11\mathrm{.}13$

$15\mathrm{.}00$