$($a$)$ Write down the differences among Best$-$Case$-$Performance, Worst$-$Case$-$Performance and Practical$-$Worst$-$Case$-$Performance? How can you contrast them?

$($b$)$ What data do we need to decide a system lean or fat?

$($c$)$ For the below line:

i$.$ Compute critical rate, raw process time and critical work in process.

ii$.$ Compare the performance of the line to the practical worse case when the line has averaged $300$ parts per day. One day consists of one eight$-$hour shift and has an average WIP level of $300$ parts. What can you conclude about the relative performance of the line compared to their underlining capabilities?

iii. In practical worse case scenario, the throughput rate is $75\%,$ what is the work in process in the line?

$2\mathrm{.}8$min

$1\mathrm{.}5$min

$4\mathrm{.}0$min

$1\mathrm{.}0$min

$($d$)$ What would happen to the throughput of the line if we increased