PM$\mathrm{.}61$ Rob Smith is managing a small project at Boston University. He is under pressure to shorten the overall duration of the project by $4$ weeks and he wants to do so at the lowest cost possible. In order to meet this objective a number of activities must be crashed.

Activity Normal Time $($weeks$)$ Crashed Time $($weeks$)$ Normal Cost Crashed Cost Predecessor$($s$)$

A $53$ $$1,000$ $$1,400-$

B $65$ $$350$ $$500-$

C $65$ $$550$ $$675-$

D $32$ $$750$ $$950$ A

E $53$ $$1,500$ $$2,700$ C

F $63$ $$900$ $$1,200$ B

ALL ARE CORRECT OTHER THAN THE LAST QUESTION I NEED HELP WITH THAT ONE.

What is the duration of the project $($in weeks$)?$

$12$

What is the target duration of the project $($after crashing the project$)?$

$8$

By how many weeks should activity A be crashed?

$0$

By how many weeks should activity B be crashed?

$1$

By how many weeks should activity C be crashed?

$1$

By how many weeks should activity D be crashed?

$0$

By how many weeks should activity E be crashed?

$2$

By how many weeks should activity F be crashed?

$3$

What is the total cost of crashing the project $4$ weeks $($just the additional cost, not total project cost$)?($Display your answer to two decimal places.$)$

$3525$