In a PERT network, what does the critical path represent?

The critical path in a PERT (Program Evaluation Review Technique) network represents the sequence of tasks that takes the longest time to complete. This path is crucial because it determines the minimum project duration. Any delay in the tasks along this path will directly affect the overall project completion time, highlighting the importance of managing these specific tasks effectively. Identifying the critical path helps project managers allocate resources efficiently, prioritize work, and minimize risks related to project delays.

Other options do not accurately represent the critical path’s role in project management. The sequence of tasks with the least time does not address the project's duration focus. Similarly, while the order of completion for all tasks may be relevant in understanding the project flow, it does not specifically pertain to the critical nature of certain tasks. Non-critical tasks may have some flexibility in their scheduling and do not directly impact the project duration, which further distinguishes the role of the critical path.