Consider the dependency matrix and the activity durations provided below.

Downstream Activity Upstream Activity

$12345678910$

$1$

$2$ X

$3$ X

$4$ X

$5$ X

$6$ X

$7$ X

$8$ X

$9$ X X

$10$ X X

Activity $12345678910$

Time $161519161231518172$

a$.$ Which of the following graphs visually depict the evolution of this project.

Option $1$:

Option $2$:

Option $3$:

Option $4$:

b$.$ Find the critical path.

c$.$ For each activity, compute the late start, the late completion, and the slack time. $($Leave no cells blank $-$ enter $"0"$ wherever necessary.$)$

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