Consider the following work breakdown structure: $$\begin{array}{l}

\begin{array} { l c c c c }
&&&\text { Time Estimates (days) }\
\text { Activity } & \text { Precedes } & \text { Optimistic } & \text { Most Likely } & \text { Pessimistic } \
\hline \text { Start } & \text { A, B } & - & - & - \
\text { A } & \text { C, D } & 44 & 50 & 56 \
\text { B } & \text { D } & 45 & 60 & 75 \
\text { C } & \text { E } & 42 & 45 & 48 \
\text { D } & \text { F } & 31 & 40 & 49 \
\text { E } & \text { F } & 27 & 36 & 39 \
\text { F } & \text { End } & 58 & 70 & 82
\end{array}
\end{array}$$ What is the estimated slack time for activity D?
A) 0 days
B) 30 days
C) 40 days
D) 50 days
E) 100 days

Question

Consider the following work breakdown structure: $$\begin{array}{l}

\begin{array} { l c c c c } 
&&&\text { Time Estimates (days) }\
\text { Activity } & \text { Precedes } & \text { Optimistic } & \text { Most Likely } & \text { Pessimistic } \
\hline \text { Start } & \text { A, B } & - & - & - \
\text { A } & \text { C, D } & 44 & 50 & 56 \
\text { B } & \text { D } & 45 & 60 & 75 \
\text { C } & \text { E } & 42 & 45 & 48 \
\text { D } & \text { F } & 31 & 40 & 49 \
\text { E } & \text { F } & 27 & 36 & 39 \
\text { F } & \text { End } & 58 & 70 & 82
\end{array}
\end{array}$$ What is the estimated slack time for activity D?
A) 0 days
B) 30 days
C) 40 days
D) 50 days
E) 100 days

Quizplus · Accepted Answer

The estimated slack time for activity D is calculated by finding the difference between the earliest finish time of D's successor(s) and D's latest finish time. The successors of D are F and B.

For F: 
Earliest start time = Latest start time = F's optimistic time = 31 days
Earliest finish time = Latest finish time = F's pessimistic time = 49 days

For B: 
Earliest start time = Latest start time = B's optimistic time = 45 days 
Earliest finish time = Latest finish time = B's pessimistic time = 75 days

D's latest finish time = 56 days (most likely time)
Therefore, D's slack time = min(49-56, 75-56) = 30 days.

So, the answer is B: 30 days.

Consider the Following Work Breakdown Structure What Is the Estimated Slack Time for Activity D? A)

Consider the Following Work Breakdown Structure What Is the Estimated Slack Time for Activity D?
A)