The Pullman$$ Mfg$.,$ Inc.$$ three$-$station work cell illustrated in the figure below has two machines at station $1$ in parallel.$($The product needs to go through only one of the two machines before proceeding to station$2.)$

Station $1$

Machine A

Station $1$

Machine B

Station $2$

Station $3$

$20$ min$/$unit

$20$ min$/$unit

$2$ min$/$unit

$12$ min$/$unit

A three$-$station work cell has a product that must go through one of the two machines at station $1($they are parallel$)$ before proceeding to station $2$ and then on to station $3.$ Both Machine A and Machine B at Station $1$ take $20$ minutes per unit. Station $2$ takes $2$ minutes per unit. Station $3$ takes $12$ minutes per unit.

The$$ manager, Seimone$$ Hartley, has asked you to evaluate the system if she adds a parallel machine at station $.$

Part $2$

$$a$)$ The throughput time of the new work cell is

$$

$34$ minutes $($enter your response as a whole$$ number$).$

Part $3$

$$b$)$ The bottleneck time of the new work cell is

$$

$20$ minutes per unit $($enter your response as a whole$$ number$).$

Part $4$

$$c$)$ If the firm operates hours per$$ day, $6$ days per$$ week, the weekly capacity of the work cell with the second machine at workstation is

$$

$180$ units$($enter your response as a whole$$ number$).$

Part $5$

$$d$)$ If the firm operates hours per$$ day, $6$ days per$$ week, the weekly capacity of the work cell without the second machine at workstation is

$$

enter your response here units$($enter your response as a whole$$ number$).$