QUESTION $2$: $(30$ points$)$

A planner identified for a certain project the activities listed in the table below and their precedence relationships as well as their durations. $($Note: All relations are FS$)$

$\backslash$table$[[$Activity$,$Predecessor$($s$),$Duration $($days$),$Activity,Predecessor$($s$),$Duration $($days$)],[$A$,$B C$,5,$I,F$,9],[$B$,-,3,$J$,$H$,12],[$C$,-,4,$K$,$I, J$,6],[$D$,$B$,2,$L$,$D$,$ E$,$ G$,10],[$E$,$A$,4,$M$,$K$,7],[$F$,$C$,7,$N$,$L$,$M$,8],[$G$,$F$,8,$O$,-,5],[$H$,$C$,6,$P$,-,8]]$

It is required to:

$($a$)$ Draw the AON network of the project $($follow the sequence step$).$

$($b$)$ Calculate and show on the network the ES$,$ EF$,$ LS$,$ LF$,$ TF $,$ and FF values of each activity.

$($c$)$ Identify the project's critical path and show it on the network.

$($d$)$ Determine the project duration.