In a CPM network, what determines which path becomes the critical path?
Correct Answer
D) The path with the longest total duration
The critical path is the sequence of activities that takes the longest time to complete from project start to finish. This path determines the minimum project duration and cannot be delayed without delaying the entire project.
Why This Is the Correct Answer
The critical path in a CPM network is determined solely by the longest total duration from project start to finish. This path represents the minimum time required to complete the entire project, as any delay in activities on this path will directly delay the project completion date. The critical path method calculates the total duration of each possible path through the network and identifies the one with the maximum time as critical.
Why the Other Options Are Wrong
Option A: The path with the most activities
The number of activities in a path does not determine the critical path. A path with fewer activities could still have the longest total duration if those activities take more time individually than the many shorter activities on another path.
Option B: The path with the most complex activities
Cost is not a factor in determining the critical path in CPM analysis. The critical path method focuses exclusively on time duration, not financial considerations. High-cost activities may or may not be on the critical path.
Memory Technique
Use 'CPM = Critical Path = Maximum time' - the word 'Critical' suggests urgency and time pressure, which relates to the longest duration path that controls project completion.
Reference Hint
Look up 'Critical Path Method (CPM)' or 'Project Scheduling' in construction management or project management chapters of your reference materials
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