A flow line has three stations. The first station has a processing time of $8$ minutes, and it has

$3$ servers. The second has a processing time of $9$ minutes, and it has $4$ servers. The third station has a

processing time of $6$ minutes, and it has $2$ servers. There is a constant arrival rate of jobs to the line.

$($a$)(0\mathrm{.}5$ pts$)$ What is the raw processing time, the bottleneck rate of the line and the critical WIP of

the line?

$($b$)(0\mathrm{.}5$ pts$)$ What is the maximum utilization at each station? What must occur so that maximum

utilization is achieved?

$($c$)(1$ pt$)$ Assume that the station with the lowest maximum utilization needs one pass of rework at

that station a certain percentage of the time. What is the maximum percentage of this rework

before the station loses its status as the one with least maximum utilization?

$($d$)(0\mathrm{.}5$ pts$)$ Draw a schematic of the line in $($c$)$ using symbols from class