PM$\mathrm{.}66$ Real estate developer Russell Call was working with a few contractors to make a number of improvements to one of his rental properties. After gathering information from these contractors he determined the following durations, predecessors, and costs of all the required activities:

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

A $32$ $$1,000$ $$3,300-$

B $21$ $$2,200$ $$2,420-$

C $31$ $$1,200$ $$2,700-$

D $73$ $$2,100$ $$2,400$ A

E $63$ $$1,800$ $$2,400$ B

F $43$ $$4,150$ $$5,220$ C

G $42$ $$1,600$ $$2,100$ D$,$ E

what is the total cost of crashing the project from its original duration to $9$ weeks?