CPM prob-7

From the following project draw the NMD. Identify the critical path.     Find out the project duration & associated cost. Calculate the total float for each activity.

NWD diagram

Critical path;

Critical path	Duration (in days)
1-2-4-5-6-7-8	3+7+0+6+4+10    =30
1-2-3-5-6-7-8	3+3+5+6+4+10    =31
1-2-5-6-7-8	3+9+6+4+10       =32 - Critical path
1-2-5-6-8	3+9+6+13           =31
1-2-4-5-6-8-	3+7+0+6+13       =29
1-2-3-5-6-8	3+3+5+6+13       =30

 

Project duration	32 days
cost	32*9=288
Normal cost	704
Total cost	992

 

 

Activity	Duration	EST	EFT	LST	LFT	TF
1-2	3	0	3	0	3	0
2-3	3	3	6	4	7	1
2-4	7	3	10	5	12	2
2-5	9	3	12	3	12	0
3-5	5	6	11	7	12	1
4-5	0	10	10	12	12	2
5-6	6	12	18	12	18	0
6-7	4	18	22	18	22	0
6-8	13	18	31	19	32	1
7-8	10	22	32	22	32	0