Question content area

Part $1$

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

Total Cost with Crashing

Immediate$$ Predecessor$($s$)$

A

$44$

$33$

$ $2$ comma $000$$$2,000$

$ $2$ comma $700$$$2,700$

long dash$$

B

$22$

$11$

$ $2$ comma $200$$$2,200$

$ $3$ comma $000$$$3,000$

long dash$$

C

$33$

$33$

$ $750$$$750$

$ $750$$$750$

long dash$$

D

$88$

$44$

$ $2$ comma $400$$$2,400$

$ $2$ comma $700$$$2,700$

A

E

$66$

$33$

$ $1$ comma $000$$$1,000$

$ $1$ comma $300$$$1,300$

B

F

$33$

$22$

$ $3$ comma $200$$$3,200$

$ $4$ comma $400$$$4,400$

C

G

$44$

$22$

$ $1$ comma $500$$$1,500$

$ $2$ comma $000$$$2,000$

$$D$,$ E

$$c$)$ For reducing the duration of the project by one$$ week, the activity that should be crashed first is activity

$$

$.$