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 minimum possible time for completing this project?
A) 15 days
B) 16 days
C) 18 days
D) 20 days

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 minimum possible time for completing this project?
A) 15 days
B) 16 days
C) 18 days
D) 20 days

Quizplus · Accepted Answer

To find the minimum possible time for completing the project, we need to calculate the longest path through the project, known as the critical path. The critical path is the sequence of activities that determines the shortest time in which the project can be completed. The activities must be completed in sequence, and the time for each activity is given in the table.- Activities A and B can start immediately and take 3 and 4 days, respectively.- Activity C follows A and takes 4 days, so the total time up to C is 3 (A) + 4 (C) = 7 days.- Activity D also follows A and takes 6 days, so the total time up to D is 3 (A) + 6 (D) = 9 days.- Activity E follows B and takes 5 days, so the total time up to E is 4 (B) + 5 (E) = 9 days.- Activity F follows C and D, so it can start after both are completed. Since D takes longer, F can start after 9 days and takes 4 days, making the total time up to F 9 (D) + 4 (F) = 13 days.- Activity G follows E and F, so it can start after both are completed. Since F takes longer, G can start after 13 days and takes 7 days, making the total time up to G 13 (F) + 7 (G) = 20 days.Therefore, the minimum possible time for completing the project is 20 days.

Consider the Following Project -What Is the Minimum Possible Time for Completing This Project