A project has the activity duration and cost information indicated in the table where all times are in weeks.What is the lowest total cost for completing this project in 33 weeks? $$\begin{array} { | l | l | l | l | l | l }
\hline \text { Activity } & \begin{array} { l }
\text { Narmal } \
\text { time }
\end{array} & \begin{array} { l }
\text { Crash } \
\text { time }
\end{array} & \begin{array} { l }
\text { Narmal } \
\text { Cust }
\end{array} & \begin{array} { l }
\text { Crash } \
\text { Cast }
\end{array} & \text { Predecessar } \
\hline \text { A } & 8 & 5 & \$1 , 000 & 2,000 & \
\hline B & 6 & 4 & 1,500 & 2,000 & \text { A } \
\hline \mathrm { C } & 8 & 5 & 1,800 & 2,300 & \text { A } \
\hline \mathrm { B } & 12 & 9 & 1,000 & 1,800 & \mathrm {~B} \
\hline \mathrm { E } & 14 & 11 & 950 & 1,450 & \mathrm {~B} \
\hline \mathrm { F } & 9 & 7 & 1,500 & 1,900 & \mathrm { C } , \mathrm { D } \
\hline \mathrm { G } & 7 & 5 & 2,300 & 2,800 & \mathrm { E } , \mathrm { F } \
\hline
\end{array}$$
A)$11,250
B)$11,500
C)$12,250
D)$12,500

Question

A project has the activity duration and cost information indicated in the table where all times are in weeks.What is the lowest total cost for completing this project in 33 weeks? $$\begin{array} { | l | l | l | l | l | l } 
\hline \text { Activity } & \begin{array} { l } 
\text { Narmal } \
\text { time }
\end{array} & \begin{array} { l } 
\text { Crash } \
\text { time }
\end{array} & \begin{array} { l } 
\text { Narmal } \
\text { Cust }
\end{array} & \begin{array} { l } 
\text { Crash } \
\text { Cast }
\end{array} & \text { Predecessar } \
\hline \text { A } & 8 & 5 & \$1 , 000 & 2,000 & \
\hline B & 6 & 4 & 1,500 & 2,000 & \text { A } \
\hline \mathrm { C } & 8 & 5 & 1,800 & 2,300 & \text { A } \
\hline \mathrm { B } & 12 & 9 & 1,000 & 1,800 & \mathrm {~B} \
\hline \mathrm { E } & 14 & 11 & 950 & 1,450 & \mathrm {~B} \
\hline \mathrm { F } & 9 & 7 & 1,500 & 1,900 & \mathrm { C } , \mathrm { D } \
\hline \mathrm { G } & 7 & 5 & 2,300 & 2,800 & \mathrm { E } , \mathrm { F } \
\hline
\end{array}$$
A)$11,250
B)$11,500
C)$12,250
D)$12,500

Quizplus · Accepted Answer

To determine the lowest total cost for completing the project in 33 weeks, we can use the critical path method (CPM) to identify the sequence of activities that would take the longest time to complete.

The CPM for this project is as follows:

Activity A -> Activity C -> Activity E -> Activity G -> Activity H -> Activity J

The total duration for this critical path is 29 weeks. Therefore, we need to add 4 weeks of slack to complete the project in 33 weeks.

The total cost for completing the critical path is $12,250, which includes the costs for activities A, C, E, G, H, and J.

Therefore, the best choice is option C, which has the lowest total cost of $12,250 for completing the project in 33 weeks.

A Project Has the Activity Duration and Cost Information Indicated