A simple CPM network has three activities, D, E, and F. D is an immediate predecessor of E and of F. E is an immediate predecessor of F. The activity durations are D=4, E=3, F=8.
A) The critical path is D-E-F, duration 15.
B) The critical path is D-F, duration 12.
C) Slack at D is 3 units.
D) Slack at E is 3 units.
E) Both A and C are true.

Question

Quizplus · Accepted Answer

The critical path is the longest path in the network and determines the minimum duration of the project. In this case, the critical path is D-E-F with a duration of 15 (4+3+8). Therefore, option A is correct. 
Options B, C, and D are incorrect because the critical path includes activity E, so options B and D are wrong. Slack at activity D and E is zero because they are both on the critical path, so options C and D are also incorrect.

A Simple CPM Network Has Three Activities, D, E, and F