S$7\mathrm{.}11$ The three$-$station work cell illustrated in Figure S$7\mathrm{.}7$ has a product that must go through one of the two machines at station $1($they are parallel$)$ before proceeding to station $2.$

Capacity: $20$ units$/$hr

Figure $$7\mathrm{.}7$

a$)$ What is the bottleneck time of the system?

b$)$ What is the bottleneck station of this work cell?

c$)$ What is the throughput time?

d$)$ If the firm operates $10$ hours per day, $5$ days per week, what is the weekly capacity of this work cell?