Consider a production line with $3$ Station: $(16$points$)$

Station $1$ has $3$ machines with a processing time of $10$ seconds.

Station $2$ has $4$ machines with a processing time of $16$ seconds.

Station $3$ has $2$ machines with a processing time of $8$ seconds.

a$)$ What is the critical WIP?

A$.2\mathrm{.}125$

B$.8\mathrm{.}5$

C$.10\mathrm{.}2$

D$.10\mathrm{.}5$

b$)$ Under the best case, what is the average flow time $($sec$)$ at WIP $=9?$

A$.25$

B$.36$

C$.47$

D$.58$

c$)$ Under the worst case, what is the average flow time $($sec$)$ at WIP $=9?$

A$.105$

B$.204$

C$.306$

D$.408$

d$)$ Under the practical worst case, what is the average throughput $($sec$)$ at WIP $=9?$

A$.0\mathrm{.}136$

B$\mathrm{.}0\mathrm{.}144$

C$.0\mathrm{.}244$

D$.0\mathrm{.}332$