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: Understand the formula for expected time.
In project management, particularly in PERT (Program Evaluation and Review Technique), the expected time of an activity is calculated using the weighted average of three time estimates:
- A = Optimistic time (the minimum possible time),
- B = Pessimistic time (the maximum possible time),
- C = Most likely time (the most probable time).
The expected time \( E \) is calculated as: \[ E = \frac{A + B + 4C}{6} \] Step 2: Conclusion This formula provides a weighted average with a higher weight given to the most likely time. Final Answer: \[ \boxed{\frac{A + B + 4C}{6}} \]