In the diagram, there are $2$ rectangles. The one on the left is labeled S$,$ and the one on the right is labeled F$.$ There are $10$ circles labeled inside each circle using the letters from A to J$.$ There is a number below the letter inside each circle. There are arrows that show the flow through the circles from S to F as follows: Rectangle S has arrows that connect to circles A $4,$ B $5,$ and C $3,$ circle A $4$ connects to circle F $9,$ circle B $5$ connects to circle D $3,$ to circle E $1,$ and to circle F $9,$ circle C $3$ connects to circle F $9,$ circles D $3$ and E $1$ connect to circle G $3,$ circle F $9$ connects to circle H $6$ and to circle I $3,$ circles G $3,$ H $6,$ and I $3,$ connect to circle J $6,$ and circle J $6$ connects to Rectangle F$.$

Part $3$

b$.$ Calculate the critical path for this project.

The critical path is

$$

A$-$B$-$F$-$H$-$J

A$-$B$-$E$-$G$-$J

A$-$B$-$F$-$I$-$J

A$-$C$-$F$-$H$-$J

A$-$B$-$D$-$G$-$J

A$-$C$-$F$-$I$-$J

and the project duration is

$$

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

Part $4$

c$.$ How much slack is in each of the activities$$ G$,$ H$,$ and$$ I?

Activity

Activity

Time$($days$)$

On critical$$ path?

Slack

$($days$)$

G

$3$

$$

Yes

No

$$

enter your response here

H

$6$

$$

No

Yes

$$

enter your response here

I

$3$

$$

No

Yes

$$

enter your response here