Which formula represents the PERT value?

The formula that represents the PERT value is derived from the Program Evaluation and Review Technique, which is a method used to estimate the duration of projects. The correct choice computes the weighted average of three estimates: the optimistic time, the pessimistic time, and the most likely time.

Using the formula (Optimistic + Pessimistic + (4 times Most Likely))/6 allows for a more realistic prediction of project duration by placing greater emphasis on the most likely scenario. The logic behind this is that the most likely estimate is generally seen as the most representative of normal circumstances, while the optimistic and pessimistic estimates provide bounds for potential variability in the project's timing.

This approach helps in balancing out extreme values and avoiding skewed interpretations, making it a valuable technique for project managers in planning and scheduling tasks. By integrating a weighted factor into the estimate, the PERT value yields a more accurate and reliable average that can guide decision-making and resource allocation.

The other options do not reflect the weighted nature of PERT and therefore do not capture the intended essence of the method.