Question $4-[19$ Marks$]$

The project manager of a marketing company has gathered the data as shown in the table below for an advertising campaign.

$\backslash$table$[[$Activity$,$Time estimates $($days$),\}\{$

$\backslash$table$[[$predecessor$]]\}],[$Optimistic$,$Most likely,Pessimistic$],[$A$,3,6,8,-],[$B$,2,4,4,-],[$C$,1,2,3,$C$],[$D$,6,7,8,$B$,$ D$],[$E$,2,4,6,$A$,$ E$],[$F$,6,10,14,$A$],[$G$,1,2,4,$F$],[$H$,3,6,9,$G$],[$I$,10,11,12,$C$],[$J$,14,16,20,$H$,$I$]]$

$($i$)$ Draw the network.

$($ii$)$ Determine the expected completion time and variance for each activity

$[6]$

$($iii$)$ Calculate ES$,$ EF$,$ LS$,$ LF and slack for each activity.

$[4]$

$($iv$)$ Determine the critical path.

$[5]$

$($v$)$ How long is the project likely to take?

$[2]$

$[2]$