Which of the following statements regarding CPM networks is true?

A) There can be multiple critical paths on the same project, all with different durations.
B) The early finish of an activity is the latest early start of all preceding activities.
C) The late start of an activity is its late finish plus its duration.
D) If a specific project has multiple critical paths, all of them will have the same duration.
E) If a specific project has multiple critical paths, all of them will have negative slack.

Question

Abraham Setia · Accepted Answer

Final Answer : D, Explanation :  Critical Path Method (CPM) identifies the longest stretch of dependent activities and measures the time required to complete them from start to finish. When a project has multiple critical paths, they must all have the same duration because the critical path is defined as the longest possible path. This ensures that the project completion time is accurately reflected. Options A and E are incorrect because all critical paths must have the same duration and cannot have negative slack (slack time is the amount of time that a task in a project network can be delayed without causing a delay to subsequent tasks and project completion). Option B is incorrect because the early finish of an activity is determined by adding the activity's duration to its early start, not by the latest early start of preceding activities. Option C is incorrect because the late start of an activity is calculated by subtracting the activity's duration from its late finish, not adding.

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