Question

If 'A' is the optimistic time, 'B' is the pessimistic time and 'C' is the most likely time of an activity, then the expected time of activity is:

• A. \( \frac{A+4B+C}{6} \)
• B. \( \frac{4A+B+C}{6} \)
• C. \( \frac{A+B+4C}{6} \)
• D. \( \frac{4A+4B+C}{6} \)

Hint:

The expected time formula in PERT places more weight on the most likely time \( C \), as it reflects the most probable duration of an activity.

Answer 1

The Correct Option is C

Step 1: Understanding the Expected Time Formula.
In project management, especially within PERT (Program Evaluation and Review Technique), the expected time for a task is determined by a weighted average of three time estimates:
- A = Optimistic time (best-case scenario),
- B = Pessimistic time (worst-case scenario),
- C = Most likely time (most realistic estimate).
The expected time \( E \) is computed as follows:\[E = \frac{A + B + 4C}{6}\]Step 2: Summary This formula calculates a weighted average, emphasizing the most likely time. Final Answer: \[ \boxed{\frac{A + B + 4C}{6}}\]