A project has the activity duration and cost information indicated in the table where all times are in weeks. For every week longer than $30$ weeks, there is a penalty of $$300.$ By balancing the cost of penalty against the crash costs of the activities, what is the total crashed cost for completing this project?

Activity

Normal time

Crash time

Normal Cost

Crash Cost

Predecessor

A

$8$

$5$

$$1,000$

$2,000$

B

$6$

$4$

$1,500$

$2,000$

A

C

$8$

$5$

$1,800$

$2,300$

A

D

$12$

$9$

$1,000$

$1,800$

B

E

$14$

$11$

$950$

$1,450$

B

F

$9$

$7$

$1,500$

$1,900$

C$,$ D

G

$7$

$5$

$2,300$

$2,800$

E$,$ F

Question $5$Select one:

a$.$

$$13,950$

b$.$

$$13,150$

c$.$

$$14,250$

d$.$

$$13,550$