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:

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.