Question $15,$ Problem S$7\mathrm{.}11$

Part $1$ of $4$

HW Score: $70\%,31\mathrm{.}5$ of $45$ points

Points: $0$ of $3$

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Part $1$

The$$ three$-$station work cell illustrated in the figure below has a product that must go through one of the two machines at station $1($they are$$ parallel$)$ before proceeding to station $2.$

Station $1$

Machine A

Station $1$

Machine B

Station $2$

Station $3$

Capacity: $20$ units$/$hr

Capacity: $20$ units$/$hr

Capacity:

$5$ units$/$hr

Capacity:

$3$ units$/$hr

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 $1$ have a capacity of $20$ units per hour. Station $2$ has a capacity of $5$ units per hour. Station $3$ has a capacity of $3$ units per hour.

Part $2$

$$a$)$ The bottleneck time of the system is

$$

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