A simple CPM network has three activities, A, B, and C. A is an immediate predecessor of B and of C. B is an immediate predecessor of C. The activity durations are A=4, B=3, C=5.
A) The critical path is A-B-C, duration 9.
B) The critical path is A-B-C, duration 12.
C) The critical path is A-C, duration 10.5.
D) The critical path cannot be determined without knowing PERT expected activity times.
E) The network has no critical path.

Question

Quizplus · Accepted Answer

The critical path is the longest path through the network, which determines the shortest time to complete the project. Here, A must occur before B and C, and B must occur before C. Therefore, the activities must be completed in the sequence A-B-C. The total duration is the sum of the durations of A, B, and C: 4 (for A) + 3 (for B) + 5 (for C) = 12.

A Simple CPM Network Has Three Activities, A, B, and C