Question $3$

$3\mathrm{.}1$ You have been appointed Project Leader of a project to be undertaken by your company. You have identified the following tasks and made the following time estimates for each task as listed in the table below:

$\backslash$table$[[$Task$,$Duration $($Days$),$Predecessor$],[$A$,6,-],[$B$,10,-],[$C$,5,$A$],[$D$,14,$A$],[$E$,20,$B$],[$F$,4,$C$],[$G$,2,$D$],[$H$,21,$E$],[$I$,17,$G$],[$K$,11,$I$],[$L$,30,$F$,$ H$,$ J$,$ K$]]$

Use the above$-$mentioned information to do the following:

a$)$ Develop a project$-$network diagram.

$(10)$

b$)$ Demonstrate all the paths through the diagram, and their duration.

$(8)$

c$)$ Demonstrate the critical path and the duration

$(2)$