Consider the following project.
$$\begin{array} { | c | c | c | }
\hline \text { Activity } & \begin{array} { c }
\text { Imunediate } \
\text { Predecessor }
\end{array} & \begin{array} { c }
\text { Activity Time } \
\text { (drys) }
\end{array} \
\hline \text { A } & - - & 3 \
\hline \mathrm { B } & - - & 4 \
\hline \mathrm { C } & \mathrm { A } & 4 \
\hline \mathrm { D } & \mathrm { A } & 6 \
\hline \mathrm { E } & \mathrm { B } & 5 \
\hline \mathrm { F } & \mathrm { C } , \mathrm { D } & 4 \
\hline \mathrm { G } & \mathrm { E } _ { \mathrm { F } } \mathrm { F } & 7 \
\hline
\end{array}$$
-What is the latest time that activity B can start without delaying the project?
A) 0
B) 8
C) 4
D) 7

Question

Consider the following project.
 $$\begin{array} { | c | c | c | } 
\hline \text { Activity } & \begin{array} { c } 
\text { Imunediate } \
\text { Predecessor }
\end{array} & \begin{array} { c } 
\text { Activity Time } \
\text { (drys) }
\end{array} \
\hline \text { A } & - - & 3 \
\hline \mathrm { B } & - - & 4 \
\hline \mathrm { C } & \mathrm { A } & 4 \
\hline \mathrm { D } & \mathrm { A } & 6 \
\hline \mathrm { E } & \mathrm { B } & 5 \
\hline \mathrm { F } & \mathrm { C } , \mathrm { D } & 4 \
\hline \mathrm { G } & \mathrm { E } _ { \mathrm { F } } \mathrm { F } & 7 \
\hline
\end{array}$$
-What is the latest time that activity B can start without delaying the project?
A) 0
B) 8
C) 4
D) 7

Quizplus · Accepted Answer

To determine the latest start time for activity B without delaying the project, we need to trace the path that includes activity B and its successors to find the total duration. Activity B directly leads to activity E, which takes 5 days, and then to activity G, which takes 7 days. Therefore, the total duration from the start of B to the completion of G is 4 (for B) + 5 (for E) + 7 (for G) = 16 days. Since activities A, C, D, and F also lead to G, we need to ensure B's path doesn't delay G's start. The longest path through the project is A-D-F-G, which takes 3 (for A) + 6 (for D) + 4 (for F) + 7 (for G) = 20 days. To not delay the project, B must start by day 4 (20 days total duration - 16 days for B-E-G path).

Consider the Following Project -What Is the Latest Time That Activity B Can Start