Suppose you are considering crashing the following project. Use the information in the table below to answer the following questions.

Normal

Crashed

Activity

Predecessors

Duration

Cost $($$$)$

Duration

Cost $($$$)$

A

$-$

$4$ days

$1,000$

$3$ days

$2,000$

B

A

$6$ days

$1,800$

$3$ days

$3,000$

C

A

$4$ days

$2,500$

$3$ days

$4,000$

D

B$,$ C

$9$ days

$2,700$

$6$ days

$6,500$

E

B

$8$ days

$2,400$

$6$ days

$4,500$

F

D

$5$ days

$3,500$

$3$ days

$7,000$

G

E$,$ F

$2$ days

$2,400$

$1$ day

$3,000$

What is the Crashing Costs per Day $($cost slope$)$ for activity E$,$ and is it on the critical path?