Q$2$: For the following Engineering project:

a$.$ Draw the Gantt Bar Chart. How many weeks are needed for the above project to be completed using bar chart technique?

b$.$ Determine the critical path$($s$).$

c$.$ Without redrawing, what is going to happen to the project duration and critical path if activity B$\text{'}$s duration prolongs by $3$ weeks?

$\backslash$table$[[$Activity$,$Time$($weeks$),$Successor$],[$A$,4,$B$.$C$.$D$],[$B$,4,$E$],[$C$,6,$E$],[$D$,1,$E$],[$E$,6,$F$.$G$,$H$.$I$],[$F$,3,$J$],[$G$,6,$J$],[$H$,5,$J$],[$I$,4,$J$],[$J$,2,$None$]]$