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Question
A project consists of 7 activities. The network along with the time duration(in days) for various activities is shown in the figure. The number of Activities whose float is more than 1 day is
A project consists of 7 activities. The network along with the time duration(in days) for various activities is shown in the figure. The number of Activities whose float is more than 1 day is
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Solution
The correct option is B 3
To determine the critical nodes and total float, above computations are shown in the table below.
Activity
Time
(dij)
Earliest time
Latest time
Total float
(Lj−Ei)−dij
Ei
Ei+dij
Lj−dij
Lj
1-2
4
0
4
3
7
3
1-3
7
0
7
0
7
0
1-4
6
0
6
8
14
8
3-4
5
7
12
9
14
2
3-5
7
7
14
9
14
0
5-7
6
14
20
14
20
0
5-6
5
14
19
15
20
1
To determine the critical nodes and total float, above computations are shown in the table below.
| Activity | Time (dij) |
Earliest time | Latest time | Total float (Lj−Ei)−dij |
||
| Ei | Ei+dij | Lj−dij | Lj | |||
| 1-2 | 4 | 0 | 4 | 3 | 7 | 3 |
| 1-3 | 7 | 0 | 7 | 0 | 7 | 0 |
| 1-4 | 6 | 0 | 6 | 8 | 14 | 8 |
| 3-4 | 5 | 7 | 12 | 9 | 14 | 2 |
| 3-5 | 7 | 7 | 14 | 9 | 14 | 0 |
| 5-7 | 6 | 14 | 20 | 14 | 20 | 0 |
| 5-6 | 5 | 14 | 19 | 15 | 20 | 1 |
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