Activity

ABCDEFG

Normal Time $($weeks$)$

Crash Time $($weeks$)$

$2$

$1$

$1$

$3$

Normal Cost

Total Cost with Crashing

Immediate Predecessor$($s$)$

$3$

$$2,000$

$$2,800$

$$1,650$

$$1,000$

$$350$

$$350$

$|||$ABC

$217624$

$$1,500$

$$1,820$

$3$

$1$

$2$

$$850$

$$1,000$

$$4,250$

$$1,800$

$$5,250$

$$2,400$

D$,$ E

a$)$ Based on the given information regarding the activities for the project, the project completion date

b$)$ To reduce the duration of the project to $10$ weeks at the least cost, the following is the order of what needs to be followed while crashing the activities:

$14$ weeks.

The first activity to crash is D by $2$ weeks at a per week crashing cost of $80$ dollars.

Next, one should crash activity D and activity E by $2$ weeks for an additional total per week crashing cost of $130$ dollars.

c$)$ New requirements are to reduce the project to $7$ weeks. Continuing to crash the activities from $10$ weeks based on the above crashing already completed, the following is the order for crashing:

Next activity to crash in order is

$$by $2$ weeks at a per week crashing cost of dollars.