The critical path of a PERT Network cannot be determined solely by the duration of individual activities; instead, it requires knowledge of the complete network and dependencies. The correct answer is that it cannot be determined from the given information.
The critical path in a PERT (Program Evaluation Review Technique) Network is the sequence of activities that determines the shortest time possible to complete a project. It is found by identifying the longest path through the network, which is the path with the greatest total duration. Therefore, the duration of individual activities (such as 1 week, 2 weeks, or 3 weeks) does not by itself indicate which is the critical path. To determine the critical path, we need to know the sequence of dependencies and the total time for each path. Without the full PERT Network and information on dependencies, it is impossible to determine the critical path purely based on the duration of individual activities. Consequently, the answer to the question is option 4: Cannot be determined from the given information.