$2024$ Summer

$(14$ pts$)$ A project has the activity duration and cost information indicated in the table.

$\backslash$table$[[$Activity$,\backslash$table$[[$Normal$],[$Duration $($months$)]],\backslash$table$[[$Normal$],[$Cost $(5)]],\backslash$table$[[$Crash$],[$Duration $($months$)]],\backslash$table$[[$Crash$],[$Cost $(5)]],\backslash$table$[[$Immediate$],[$Predecessor$($s$)]]],[$A$,3,290,2,250,$None$],[$B$,4,500,2,700,$None$],[$C$,5,600,4,800,$A$,$ B$],[$D$,3,1000,2,1500,$A$,$ B$],[$E$,2,350,1,600,$C$],[$F$,4,400,2,1000,$E$],[$G$,6,100,4,200,$D$]]$

a$.(6pts)$ Draw the activity$-$or$-$sode network diagram and find the project completion time and the

critical path.

b$.2$ pts$)$ Which activity $($or activities$)$ should be crashed to complete the project I month before its current completion time?

c$.(6pts)$ Which activities should be crashed and by how much each activity should be crashed to complete the project in $12$ months? How much would the total cost increase?