Based on the information below, determine the correct answer:

You have signed a contract to build a garage for the Simpsons. You will receive a $$500$ bonus for completing the project within $15$ working days. The contract also contains a penalty clause in which you will lose $$100$ for each day the project takes longer than $15$ working days.

Question: How long will the project take?

ID

Description

A

B

Pour foundation

Erect frame

C

Roof

D

Windows

E

Doors

F

Electrical

G

Rough$-$in frame

Door opener

H

Paint

J

Cleanup

Predecessor

Time $($days$)$

None

$3$

A

$4$

B

$4$

B

$1$

B

$1$

B

$3$

C$,$ D$,$ E$,$ F

$2$

E$,$ F

$1$

G$,$ H

$2$

$1$