Consider the project information in the table below $($time in days$).$ Find the following: $1.$ constructs the CPM network diagram for this project; $2.$ compute the forward and backward pass$)$; and $3.$ find the critical path $($compute and show the slack time each activity$).$

$\backslash$table$[[$ACTIVITY$,\backslash$table$[[$IMMEDIATE$],[$PREDECESSORS$]],$Time$],[$A$,-,23],[$B$,-,20],[$C$,$A$,$B$,12],[$D$,$B$,$C$,19],[$E$,$A$,17],[$F$,$C$,$D$,$E$,24]]$