Question $3$: $[30$ Marks$]$

The table below sets out a number of activities$/$tasks$,$ their precedence activities, and durations for an Intranet software development project.

$\backslash$table$[[$Activity $/$ Task,$\backslash$table$[[$Immediately$],[$Preceding Activity$]],$Duration $($Days$)],[$A$,-,8],[$B$,$A$,15],[$C$,$B$,13],[$D$,$A$,10],[$E$,$D$,7],[$F$,$A$,20],[$G$,$F$,21],[$H$,$G$,14],[$G$,$C$,7],[$K$,$C$,$ E$,6],[$L$,$H$,11],[$M$,$J$,$ K$,$ L$,15]]$

$($a$)$ Use the information in the table above to draw an Activity$-$onArrow Network Diagram showing the project schedule.

$[10$ Marks$]$

$($b$)$ Identify the tasks on the critical path and state how long is the duration? $($Show all workings$)[5$ Marks$]$

$($c$)$ Calculate the free float for tasks B$,$ K and L$?[6$ Marks$]$

$($d$)$ Assume that a serious, unanticipated setback occurs on the project and the team member working on task $K$ had to be away for $15$ days. What effect $($if any$)$ would this have on the completion date of the project? $[5$ Marks$]$

$($e$)$ Task $M$ will be delayed by one day because some equipment has arrived late. If the Project Manager still wants to finish the project within the original timeframe, she will need to shorten the time for one or more of the tasks. What steps can he take to reduce the number of days allocated to a task? $[4$ Marks$]$