A project has the activity duration and cost information indicated in the table where all times are in weeks. There is a penalty of $$4,000$ per week for every week the project exceeds $37$ weeks. What is the lowest total cost for completing this project?

Activity

Predecessor

Normal Time

Normal Cost

Crash Time

Crash Cost

A

$--$

$8$

$$12,000$

$5$

$$22,000$

B

A

$12$

$$18,000$

$9$

$$32,000$

C

A

$15$

$$22,000$

$9$

$$62,000$

D

B

$3$

$$9,000$

$2$

$$18,000$

E

C

$9$

$$15,000$

$5$

$$35,000$

F

E

$7$

$$5,000$

$5$

$$8,000$

G

D

$8$

$$13,000$

$6$

$$23,000$

H

A

$12$

$$20,000$

$8$

$$32,000$

J

H

$6$

$$45,000$

$4$

$$56,000$

Group of answer choices

$$184,000$

$$192,500$

$$172,000$

$$187,000$