A project is showed as follows a Find out the critical path

A project is showed as follows: (a) Find out the critical path of the Project (b) Fin out the duration of the projcet (c) Find out the slack time for each activity

Solution

a) critical path:

1. A-D-G = 8+5+7 =20 days

2. A-E-I =8+1+9 =18 days

3. B-I = 4+9 =13 days

4. C-F-I = 3+2+9 = 14 days

5. C-H-J = 3+6+9= 18 days

Critical path = A-D-G being the longest

b. Duration = 20 days (duration of the critical path)

c. Slack time:

Task Name	Duration (exp. time)	ES	EF	LS	LF	Slack
Start	0.00	0.00	0.00	0.00	0.00	0.00
Task A	8.00	0.00	8.00	0.00	8.00	0.00
Task B	4.00	0.00	4.00	7.00	11.00	7.00
Task C	3.00	0.00	3.00	5.00	8.00	5.00
Task D	5.00	8.00	13.00	8.00	13.00	0.00
Task E	1.00	8.00	9.00	10.00	11.00	2.00
Task F	2.00	3.00	5.00	9.00	11.00	6.00
Task G	7.00	13.00	20.00	13.00	20.00	0.00
Task H	6.00	3.00	9.00	8.00	14.00	5.00
Task I	9.00	9.00	18.00	11.00	20.00	2.00
Task J	6.00	9.00	15.00	14.00	20.00	5.00
Finish	0.00	20.00	20.00	20.00	20.00	0.00