Please provide step by step worked out solutions, and a break down.

S$7\mathrm{.}13$ The Pullman Mfg$.,$ Inc., three$-$station work cell illus$-$

trated in Figure S$7\mathrm{.}8$ has two machines at station $1$ in parallel.

$($The product needs to go through only one of the two machines

before proceeding to station $2.)$ The manager, Seimone Hartley,

has asked you to evaluate the system if she adds a parallel ma$-$

chine at station $2.$

a$)$ What is the throughput time of the new work cell?

b$)$ What is the bottleneck time of the new work cell?

c$)$ If the firm operates $8$ hours per day, $6$ days per week, what is

the weekly capacity of this work cell?

d$)$ How did the addition of the second machine at workstation $2$

affect the performance of the work cell from Problem $$7\mathrm{.}12?$