Mach $10$ is a$$ one$-$person sailboat designed to be used in the ocean. Manufactured by Creative$$ Leisure, Mach $10$ can handle$40-$mph winds and seas over $10$ feet. The final assembly plant is in$$ Cupertino, California. At this$$ time, $300$ minutes are available each day to manufacture Mach $10.$ The daily demand is $60$ boats. Given the following$$ information:

$$

Task

Performance

Time$($mins$)$

Predecessors

A

$2$

$$

B

$1$

A

C

$2$

A

D

$1$

C

E

$3$

C

F

$1$

C

G

$1$

$$D$,$ E$,$ F

H

$2$

B

I

$1$

$$G$,$ H

Part $2$

$$a$)$ The correct precedence relationship with one of the possible assignment of tasks to workstations is shown in

$$

Fig. $1$

Fig. $2$

Fig. $3$

$.$

Part $3$

The operating efficiency of the assembly line with $3$ workstations shown in the figure chosen$$ above$=$ enter your response here$\%($enter your response as a percentage rounded to one decimal$$ place$).$

Part $4$

The theoretical minimum number of workstations$=$ enter your response here $($round your response up to the next whole$$ number$).$

Part $5$

The idle time for the assembly line per cycle$=$ enter your response here $$minute$($s$)($enter your response as a whole$$ number$).$

Part $6$

$$c$)$ If $400$ minutes were$$ available, the theoretical minimum number of workstations would$=$ enter your response here $($round your response up to the next whole$$ number$).$

Part $7$

The theoretical efficiency$($using the cycle time based on $400$ minutes available during the day and the theoretical minimum number of$$ workstations$)$ would$=$ enter your response here$\%($enter your response as a percentage rounded to one decimal$$ place$).$