GATE CE 2016 Set 1 — Question 49
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Question
The Optimistic Time (O), Most likely Time (M) and Pessimistic Time (P) (in days) of the activities in the critical path are given below in the format O-M-P.
The expected completion time (in days) of the project is _________
Correct answer
37 to 38
Solution
In PERT (Program Evaluation and Review Technique), the expected time () for an activity is calculated using the formula:where:
- = Optimistic time
- = Most likely time
- = Pessimistic time
1.For activity E-F (8-10-14):
2.For activity F-G (6-8-11):
3.For activity G-H (5-7-10):
4.For activity H-I (7-12-18):
The total expected completion time of the project () is the sum of the expected times of all activities on the critical path:Thus, the expected completion time is approximately 37.83 days, which falls within the range of 37 to 38.Continue learning with Success Tracker
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