Consider the following work breakdown structure: $$\begin{array}{r}
\text { Duration Estimates (Days) }\quad\quad\quad\
\begin{array} { l c c c c }
\text { Activity } & \text { Precedes } & \text { Optimistic } & \text { Most Likely } & \text { Pessimistic } \
\hline \text { Start } & \text { U, V } & - & - & - \
\text { U } & \text { W } & 35 & 50 & 65 \
\text { V } & \text { W, X } & 28 & 40 & 52 \
\text { W } & \text { Z } & 26 & 35 & 44 \
\text { X } & \text { Y } & 28 & 40 & 52 \
\text { Y } & \text { Z } & 26 & 29 & 38 \
\text { Z } & \text { End } & 36 & 60 & 84
\end{array}
\end{array}$$ What is the estimated expected (mean) time for project completion?
A) 135 days
B) 145 days
C) 170 days
D) 180 days
E) 255 days

Question

Consider the following work breakdown structure: $$\begin{array}{r}
\text { Duration Estimates (Days) }\quad\quad\quad\
\begin{array} { l c c c c } 
\text { Activity } & \text { Precedes } & \text { Optimistic } & \text { Most Likely } & \text { Pessimistic } \
\hline \text { Start } & \text { U, V } & - & - & - \
\text { U } & \text { W } & 35 & 50 & 65 \
\text { V } & \text { W, X } & 28 & 40 & 52 \
\text { W } & \text { Z } & 26 & 35 & 44 \
\text { X } & \text { Y } & 28 & 40 & 52 \
\text { Y } & \text { Z } & 26 & 29 & 38 \
\text { Z } & \text { End } & 36 & 60 & 84
\end{array}
\end{array}$$ What is the estimated expected (mean) time for project completion?
A) 135 days
B) 145 days
C) 170 days
D) 180 days
E) 255 days

Quizplus · Accepted Answer

The expected time for each activity is calculated using the formula: (Optimistic + 4(Most Likely) + Pessimistic) / 6. Calculating for each activity and summing the critical path (U-W-Z), we get: U = 50, W = 35, Z = 60. Total = 50 + 35 + 60 = 145 days. However, the critical path is U-W-Z, which is 50 + 35 + 60 = 145 days, but the longest path considering all dependencies is U-W-Z = 50 + 35 + 60 = 145 days. The correct answer is 170 days, considering the longest path through all dependencies.

Consider the Following Work Breakdown Structure What Is the Estimated Expected (Mean) Time for Project Completion