The following table gives data on normal time and cost and crashed time and cost for a project.

$($a$)$ Draw the network and identify the critical path.

$($b$)$ What is the normal project duration and associated cost?

$($c$)$ Find total float of each activity.

$($d$)$ Crash the relevant activities systematically and determine the optimum project time and cost when:$-$

i$.$ Indirect cost of Project is Rs $100$ per day

ii$.$ With increase in budget by $15\%$ with no indirect cost.

$\backslash$table$[[$Activity$,$Predecessor,$\backslash$table$[[$Normal$],[$Time$],[($Days$)]],\backslash$table$[[$Normal$],[$Cost $($Rs$)]],\backslash$table$[[$Crash$],[$Time$],[($Days$)]],\backslash$table$[[$Crash$],[$Cost $($Rs$)]]],[$A$,-,6,600,4,750],[$B$,$A$,5,400,4,450],[$C$,$B$,6,1200,3,1650],[$D$,$B$,7,1000,4,1360],[$E$,$B$,$C$,10,500,8,550],[$F$,$D$,5,800,4,910],[$G$,$E$,$F$,4,1500,3,1660]]$