Development of Version $2\mathrm{.}0$ of a particular accounting software product is being considered by Jose Noguera's technology firm in Baton Rouge. The activities necessary for the completion of this project are listed in the following table:

$\backslash$table$[[$Activity$,\backslash$table$[[$Normal$],[$Time $($weeks$)]],\backslash$table$[[$Crash$],[$Time $($weeks$)]],\backslash$table$[[$Normal$],[$Cost$]],\backslash$table$[[$Total Cost$],[$with$],[$Crashing$]],$Immediate Predecessor$($s$)],[$A$,4,3,$$$2,100,$$$2,800,-],[$B$,2,1,$$$2,300,$$$2,900,-],[$C$,3,3,$$$750,$$$750,-],[$D$,8,4,$$$2,400,$$$2,680,$A$],[$E$,6,3,$$$1,000,$$$1,300,$B$],[$F$,3,2,$$$3,400,$$$4,800,$C$],[$G$,4,2,$$$1,600,$$$2,200,$D$,$ E$]]$

a$)$ Based on the given information regarding the activities for the project, the project length $=16$ weeks.

b$)$ The total cost required for completing this project on normal time $=$$$13550.$

c$)$ For reducing the duration of the project by one week, the activity that should be crashed first is activity

The cost of the project based on the first activity selected for crashing will increase by $$70.$

d$)$ The maximum weeks by which the project can be reduced by crashing $=7$ weeks.

Total cost of crashing the project to minimum $($or maximum weeks possible$)=$$