Development of Version $2\mathrm{.}0$ of a particular accounting software product is being considered by Jose$$ Noguera's technology firm in Baton Rouge. The activities necessary for the completion of this project are listed in the following$$ table:

Activity

Normal Time$($weeks$)$

Crash Time$($weeks$)$

Normal Cost

Crashing Cost

Immediate$$ Predecessor$($s$)$

A

$4$

$3$

$ $2$ comma $100$

$ $2$ comma $700$

long dash

B

$2$

$1$

$ $2$ comma $200$

$ $2$ comma $800$

long dash

C

$3$

$3$

$ $600$

$ $600$

long dash

D

$8$

$4$

$ $2$ comma $500$

$ $2$ comma $780$

A

E

$6$

$3$

$ $1$ comma $000$

$ $1$ comma $375$

B

F

$3$

$2$

$ $3$ comma $000$

$ $4$ comma $200$

C

G

$4$

$2$

$ $1$ comma $500$

$ $2$ comma $100$

$$D$,$ E

Part $2$

$$a$)$ What is the project completion$$ date?

Based on the given information regarding the activities for the$$ project, the project length$=$

$$

$16$ weeks.

Part $3$

$$b$)$ What is the total cost required for completing this project on normal$$ time?

The total cost required for completing this project on normal time$=$$

$$

$12,900.$

Part $4$

$$c$)$ If you wish to reduce the time required to complete this project by $1$ week, which activity should be$$ crashed, and how much will this increase the total$$ cost$?$