The critical path is the sequence of schedule activities determining the duration of the project, and is generally the shortest path through the project.

Question

BlackTom AI · Accepted Answer

The critical path is the longest path through the project's activity network, so it determines the minimum possible project duration—not the shortest path.

Relevant knowledge points and concepts:
- Critical Path Method (CPM): identifies the sequence of activities that determines project duration.
- Path duration: sum of activity durations along a sequence from start to finish.
- Critical activities have zero total float (no slack); delaying any critical activity delays the project.
- The critical path is the longest-duration path, because the project cannot finish sooner than the longest chain of dependent tasks.

Step-by-step reasoning with numbers:
1. Construct network and list possible paths with durations.
   Example: Path 1: A (5 days) → B (3 days) → C (2 days). Total = 5 + 3 + 2 = 10 days.
   Path 2: D (4 days) → E (3 days). Total = 4 + 3 = 7 days.
2. Compare path totals. Path 1 = 10 days, Path 2 = 7 days.
3. The project cannot finish before the longest path (10 days). Thus Path 1 controls project duration and is the critical path.
4. Activities on Path 1 have zero float; any delay on A, B, or C delays the project. Activities on Path 2 could be delayed up to 3 days (float) without affecting project finish.

Why the correct answer is correct:
- The statement in the question claims the critical path is "generally the shortest path," which contradicts the definition and the arithmetic: the critical path is by definition the longest-duration sequence of dependent activities. Calling it the shortest path would imply the project completes as quickly as the shortest chain of tasks, which is false because dependent activities on other paths can extend the finish date.

Why the other option (True) is incorrect:
- Marking the critical path as the shortest path misidentifies which sequence constrains the schedule. Shorter paths have slack and do not determine the overall duration.

Conclusion: The correct choice is False, which matches the provided answer.

The critical path is the sequence of schedule activities determining the duration of the project, and is generally the shortest path through the project. 单项选择题

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