What is the critical path in a project schedule?

Correct answer: The longest path through the project network determining minimum duration

Option C is correct because the critical path is defined in network scheduling (CPM/PERT) as the longest sequence of dependent activities from project start to finish, and it determines the minimum total project duration; any delay on the critical path directly extends the project end date. Option A is wrong because the number of tasks on a path is irrelevant; a path with fewer but longer-duration tasks can still be the critical path. Option B is wrong because cost is not a factor in identifying the critical path, which is based solely on activity durations and dependencies. Option D is wrong because resource intensity does not define the critical path; resource leveling is a separate scheduling concern that may shift activities but does not determine which path governs project duration.