GATE ME 2019 Set 1 — Question 65
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Question
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 ________
| Activity | Immediate predecessor | Estimated duration (weeks) |
|---|---|---|
| P | - | 5 |
| Q | - | 1 |
| R | Q | 2 |
| S | P, R | 4 |
| T | P | 6 |
| U | S, T | 3 |
Correct answer
6 to 6
Solution
To find the maximum duration of activity S without delaying the project, we first determine the original project completion time.
1.Calculate Earliest Finish (EF) for each activity:
- weeks (starts at 0)
- week (starts at 0)
- weeks
- weeks
- weeks
- weeks
2.Determine the constraint on activity S:
Activity S lies on two paths that must not exceed the project duration of 14 weeks:- Path :
- Path :
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