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

$1$

minus

B

$1$

A

C

$3$

A

D

$1$

C

E

$2$

C

F

$2$

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. $3$

$.$

$.$

$.$

$.$

Question content area right

Part $1$

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There are $9$ circles labeled using the letters from A to I. There are arrows, connecting one circle to another in the following manner: A to B$,$ A to C$,$ B to G$,$ C to D$,$ C to E$,$ C to F$,$ D to H$,$ E to H$,$ F to H$,$ G to I, and H to I. There are three distinct partitions that contain one or more circles. First partition contains circles A$,$ B$,$ and C$.$ Second partition contains circles D$,$ E$,$ and F$.$ Third partition contains circles G$,$ H$,$ and I. The diagram is labeled Fig. $1.$

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There are $9$ circles labeled using the letters from A to I. There are numbers of arrows, and each arrow connects one circle to the other in the following manner: A to B$,$ A to C$,$ B to H$,$ C to D$,$ C to E$,$ C to F$,$ D to G$,$ E to G$,$ F to G$,$ G to I, and H to I. There are three distinct partitions that contain one or more circles. First partition contains circles A$,$ B$,$ and C$.$ Second partition contains circles D$,$ E$,$ F$,$ and H$.$ Third partition contains circles G and I. The diagram is labeled Fig. $2.$

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