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=8.
A)The critical path is A-B-C,duration 15.
B)The critical path is A-C,duration 12.
C)The critical path is A-B-C,duration 13.5
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 means it has the longest duration. In this case, the longest path is A-B-C with a duration of 15. Therefore, choice A is correct. Choice B is incorrect because it only includes activities A and C, which is not the longest path. Choice C is incorrect because the duration of the critical path is actually 15, not 13.5. Choice D is incorrect because PERT expected activity times are not needed to determine the critical path in a simple CPM network. Choice E is incorrect because there is a critical path in this network.

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