The document outlines a project network with various activities, their durations, and associated critical paths. The critical activities include paths such as 1-3-4-6-7 and 1-3-5-7, with total durations of 29 and 25 respectively. The float calculations show the earliest and latest times for activities, revealing a total float of 7 for certain tasks.

5. Problem: Draw a network corresponding to the following
information, obtain earliest and latest times, and determine
critical activities & floats.
Activity 1-2 1-3 2-6 3-4 3-5 4-6 5-6 5-7 6-7
Duration 4 6 8 7 4 6 5 19 10

6. Activity 1-2 1-3 2-6 3-4 3-5 4-6 5-6 5-7 6-7
Duration 4 6 8 7 4 6 5 19 10
1 7
5
6
4
3
2 8
4
5

7. 1 7
5
6
4
3
2
8
4
5
Possible Paths Duration Critical Path
1 – 3 – 4 – 6 – 7 29 Critical Path
1 – 2 – 6 – 7 22
1 – 3 – 5 – 7 29 Critical Path
1 – 3 – 5 – 6 – 7 25

8. Activity 1-2 1-3 2-6 3-4 3-5 4-6 5-6 5-7 6-7
Duration 4 6 8 7 4 6 5 19 10
1 7
5
6
4
3
2
8
4
5
(4, 12)
( 6, 10)
(10,15)
(14,19)
(11, 19)
(6, 10)

9. Float Calculations
Activity Duration Earliest
Times
Latest Times
EST EFT LST LFT
1-2 4 0 4 7 11
1-3 6 0 6 0 6
2-6 8 4 12 11 19
3-4 7 6 13 6 13
3-5 4 6 10 6 10
4-6 6 13 19 13 19
5-6 5 10 15 14 19
5-7 19 10 29 10 29
6-7 10 19 29 19 29
Float
Total Float Free Float Independent
Float
7 0 0
0 0 0
7 7 0
0 0 0
0 0 0
0 0 0
4 4 4
0 0 0
0 0 0