Consider a $3-$stage serial process in which the product has to be processed at Stage A$,$ Stage B$,$ and then Stage C$.$ The processing times at Stage A$,$ Stage B$,$ and Stage C are $10$ min$/$unit$,6mi\frac{n}{u}$nit, and $8mi\frac{n}{u}$nit, respectively. Different stages are performed by different resources, and there is no variability in processing times.

$($a$)$ What is the minimum cycle time of the process? min$/$unit

$($b$)$ What is the minimum throughput time of the process? minuteS