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.

Critical Path

The sequence of stages determining the minimum time required for an operation, especially in project management, identifying the longest stretch of dependent tasks and establishing the shortest possible project duration.

Immediate Predecessor

A term used in project management and planning, referring to an activity that directly precedes another activity in a sequence, without any intervening activities.

Activity Durations

Activity Durations refer to the length of time needed to complete specific tasks or activities within a project or process.