A project consists of six activities. The immediate predecessor of each activity and the estimated duration is also provided in the table below:
Q. A project consists of six activities. The immediate predecessor of each activity and the estimated duration is also provided in the table below:
| Activity | Immediate predecessor | Estimated duration (weeks) |
| P | – | 5 |
| Q | – | 1 |
| R | Q | 2 |
| S | P, R | 4 |
| T | P | 6 |
| U | S, T | 3 |
If all activities other than S take the estimated amount of time, the maximum duration (in weeks) of the activity S without delaying the completion of the project is_
Ans:6
Various paths in this network are,
1 – 2 – 5 – 6 → 14 weeks
1 – 2 – 4 – 5 – 6 → 12 weeks
1 – 3 – 4 – 5 – 6 → 10 weeks
Hence, critical path is 1 – 2 – 5 – 6 with duration of 14 weeks.
Now, duration of activity S can be increased by 2 weeks almost.
So, maximum duration of activity S without delaying completion of project is 6 weeks.