A project is composed of 6 activities that have durations and precedence requirements shown in the table. Which of these activities is NOT on the critical path? $$\begin{array} { | c | c | c | }
\hline \text { Activity } & \text { Length } & \text { Predecessor } \
\hline \text { A } & 5 & \cdots \
\hline \text { B } & 7 & \text { A } \
\hline \text { C } & 4 & \text { A } \
\hline \text { D } & 7 & \text { B,C } \
\hline \text { E } & 7 & \text { B } \
\hline \text { F } & 6 & \text { D, E } \
\hline
\end{array}$$
A)A
B)B
C)C
D)D

Question

A project is composed of 6 activities that have durations and precedence requirements shown in the table. Which of these activities is NOT on the critical path? $$\begin{array} { | c | c | c | } 
\hline \text { Activity } & \text { Length } & \text { Predecessor } \
\hline \text { A } & 5 & \cdots \
\hline \text { B } & 7 & \text { A } \
\hline \text { C } & 4 & \text { A } \
\hline \text { D } & 7 & \text { B,C } \
\hline \text { E } & 7 & \text { B } \
\hline \text { F } & 6 & \text { D, E } \
\hline
\end{array}$$
A)A
B)B
C)C
D)D

Quizplus · Accepted Answer

The critical path is the longest path through the network of activities. It is made up of the activities that have zero slack or float, meaning that any delay in these activities will delay the entire project. The critical path in this project is A -> B -> D -> F, with a total duration of 5 + 7 + 7 + 6 = 25. Activity C has a duration of 4 and is not on the critical path because there is 1 unit of slack between activities A and C (i.e. activity C can be delayed by 1 unit without delaying the project) but there is no slack between activities B and D or between activities D and F.

A Project Is Composed of 6 Activities That Have Durations