Given the following information, compute the early, late, and slack times for the project network.$$

ID

Task

Duration

$$

Predecessor

Additional Lag Relationships

Lag

A

Design kitchen

$4$

$$

$$

$$

$$

B

Tear down

$3$

$$

$$

Start$-$start A to B

$3$

C

Order appliances

$2$

$$

A

$$

$$

D

Build cabinets

$7$

$$

A

$$

$$

E

Install cabinets

$4$

$$

B

Start$-$start D to E

Finish$-$finish D to E

$6$

$3$

F

Install appliances

$2$

$$

E

Finish$-$start C to F

$6$

G

Inspect

$2$

$$

F