CAPM Practice Question

To determine the shortest possible duration to complete the project, we need to identify the longest path through the project's activity network, which is known as the critical path. The critical path dictates the minimum project duration.

First, list all possible paths and calculate their total durations:

1. Path A→B→D: Activity A (3 days) + Activity B (5 days) + Activity D (4 days) = 12 days
2. Path A→C→D: Activity A (3 days) + Activity C (2 days) + Activity D (4 days) = 9 days

The longest path is Path A→B→D with a total duration of 12 days. Therefore, the shortest possible duration to complete the project is 12 days.