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 possible time that Activity E can be started without delaying the completion of the project?
A) 8
B) 3
C) 7
D) 9

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 possible time that Activity E can be started without delaying the completion of the project?
A) 8
B) 3
C) 7
D) 9

Quizplus · Accepted Answer

To find the latest possible start time for Activity E without delaying the project, we need to calculate the critical path and then determine the slack time for Activity E. The critical path is the longest path through the project, determining the shortest time in which the project can be completed. - Activities A and B can start immediately, taking 3 and 4 days respectively.- Activity C, which depends on A, can start after 3 days and takes 4 days (total 7 days).- Activity D, also depending on A, can start after 3 days and takes 6 days (total 9 days).- Activity E, depending on B, can start after 4 days and takes 5 days (total 9 days).- Activity F, depending on C and D, can start after the later of the two, which is D at 9 days, and takes 4 days (total 13 days).- Activity G, depending on E and F, can start after the later of the two, which is F at 13 days, and takes 7 days (total 20 days).The critical path is either A-D-F-G or B-E-F-G, both taking 20 days to complete the project. To find the latest start time for E without affecting the project completion:- The project must finish by day 20.- Activity G, which takes 7 days, must start by day 13.- Since Activity F must finish by day 13 and takes 4 days, it must start by day 9.- Activity E, leading into F, must finish by day 9 to allow F to start on time. Since E takes 5 days, it must start by day 4.Therefore, the latest Activity E can start without delaying the project is day 4, which corresponds to choice A (8 days from the project start, considering the project starts at day 0). This explanation contains a mistake in the final calculation; the correct interpretation should directly address the calculation of the latest start time for E based on its duration and the latest finish time required for its subsequent activities.

Consider the Following Project -What Is the Latest Possible Time That Activity E Can