Thanks for the help

Note: A waiting line model solver computer package $is$ needed $to$ answer these questions.

The Kolkmeyer Manufacturing Company uses a group $of$ six identical machines, each $of$ which operates $an$ average $of23$ hours between breakdowns. With randomly

occurring breakdowns, the Poisson probability distribution $is$ used $to$ describe the machine breakdown arrival process. One person from the maintenance department

provides the single$-$server repair service for the six machines.

Management $is$ now considering adding two machines $to$ its manufacturing operation. This addition will bring the number $of$ machines $to$ eight. The president $of$ Kolkmeyer

asked for a study $of$ the need $to$ add a second employee $to$ the repair operation. The service rate for each individual assigned $to$ the repair operation $is0\mathrm{.}35$ machines per

hour.

$(a)$ Compute the operating characteristics $if$ the company retains the single$-$employee repair operation. $(Round$ your answers $to$ four decimal places. Report time $in$

hours.$)$

$L_q=1$

$L=1$

$W_q=1$

$W=1$

$(b)$ Compute the operating characteristics $if$ a second employee $is$ added $to$ the machine repair operation. $(Round$ your answers $to$ four decimal places. Report time $in$

hours.$)$

$L_q=1$

$L=$

$W_q=$

$W=1$

$h$

$h$

$w=$

$(c)$ Each employee $is$ paid $$21$ per hour. Machine downtime $is$ valued $at$ $$94\mathrm{.}5$ per hour. From $an$ economic point $of$ view, should one $or$ two employees handle the

machine repair operation? Explain. $(Express$ the total cost per hour $in$ dollars. Round your answers $to$ the nearest cent.$)$

$TC(k=1)=$$

$TC(k=2)=$$

The total cost $to$ operate all eight machines favors the use $of$

$|to$ maintain and repair them.