ActivityNormal Time $($weeks$)$Crash Time $($weeks$)$Normal CostCrash CostImmediate Predecessor$($s$)$A$43$$$2,000$$$2,600-$B$21$$$2,200$$$2,800-$C$43$$$500$$$800-$D$85$$$2,300$$$2,600$A$,$ BE$63$$$900$$$1,200$CF$32$$$3,000$$$4,200$D$,$ EG$42$$$1,400$$$2,000$E$,$ Fa$.$ What is the critical path b$.$ What is the project length? c$.$ If you wish to reduce the time required to complete this project by $1$ week, which activity should be crashed, and how much will this increase the total cost? d$.$ If you wish to take another week off the project, which activity would you choose and what is the total cumulative cost? e$.$ What is the maximum time that can be crashed? $.$ How much would costs increase? $