#$2)$ An office complex is to be renovated. Before the job can be completed, various tradespeople and skilled workers must install their materials. The table for this problem describes the relationships between the activities that need to be completed.

Activity

Immediate Predecessors

Time $($days$)$

A$1$

$-$

$6$

A$2$

A$1$

$7$

A$3$

A$1$

$3$

A$4$

A$1$

$10$

A$5$

A$2$

$10$

A$6$

A$3,$ A$4$

$4$

A$7$

A$4$

$8$

A$8$

A$4$

$5$

A$9$

A$5,$ A$6,$ A$7$

$7$

A$10$

A$8$

$6$

a$)$ Develop a project network for this problem.

b$)$ Determine the EST, EFT, LST$,$ LFT$,$ and slack for each activity.

c$)$ What is the critical p