The R&D department is planning to bid on a large project for the development of a new communication system for commercial planes. The accompanying table shows the activities, times, and sequences required:

ACTIVITY IMMEDIATE PREDECESSOR TIME $($WEEKS$)$

A $3$

B A $4$

C A $6$

D A $6$

E B $3$

F C$,$ D $3$

G D$,$ F $5$

H D $2$

I E$,$ G$,$ H $7$

b$.$ What is the critical path?

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check all that apply $1$

A$-$C$-$F$-$G$-$I

A$-$B$-$E$-$I

A$-$D$-$H$-$I

A$-$D$-$F$-$G$-$I

c$.$ Suppose you want to shorten the completion time as much as possible, and you have the option of shortening any or all of B$,$ C$,$ D$,$ and G each one week. Which would you shorten?

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check all that apply $2$

B

C

D

G

E

F

d$-1.$ What is the new critical path?

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check all that apply $3$

A$-$C$-$F$-$G$-$I

A$-$B$-$E$-$I

A$-$D$-$H$-$I

A$-$D$-$F$-$G$-$I

d$-2.$ What is the earliest completion time for the new critical path?