Topic: Industrial Engineering
In a small engineering project, three time estimates of a PERT activity are: Optimistic time = 8 min, Most likely time = 10 min, Pessimistic time = 14 min. The expected time of the activity would be :
- A. 12.13 min
- B. 10.33 min
- C. 10.76 min
- D. 11.25 min
Answer: B. 10.33 min
Explanation: The expected time ($t_e$) in a PERT analysis is calculated using the weighted average formula:
$t_e = \frac{t_o + 4t_m + t_p}{6}$
$t_e = \frac{8 + 4(10) + 14}{6} = \frac{8 + 40 + 14}{6} = \frac{62}{6} \approx 10.33$ minutes.