Consider the following information about a small project:

Task

Duration $($days$)$

Immediate Predecessors

Shortest Time Possible

Acceleration Cost per day

A

$5$

None

$4$

$$6,500$

B

$10$

A

$9$

$$5,000$

C

$8$

A

$7$

$$7,000$

D

$6$

B

$3$

$$6,000$

E

$7$

C

$6$

$$6,000$

F

$3$

C

$2$

$$7,000$

G

$4$

D$,$E$,$F