The arrival rate of jobs is $13\mathrm{.}5$ jobs per hour $($with c$2$

a $=1)$ to a workstation

consisting of five machines. Each machine normally takes $0\mathrm{.}3$ hour per job with a natural CV

of $1$

$2($that is$,$ c$2$

e $).$

$($a$)$ What is the utilization of a single machine when it is allocated one$-$fifth of the demand

$($that is $2\mathrm{.}7$ jobs per hour$)?$

$($b$)$ What is the utilization of the station with an arrival rate of $13\mathrm{.}5$ jobs per hour?

$($c$)$ Calculate the cycle time at a single machine when allocated one$-$fifth of the demand.

$($d$)$ Calculate the mean cycle time at the station serving $13\mathrm{.}5$ jobs per hour.