A project has the activity duration and cost information indicated in the table where all times are in weeks.For every week longer than 30 weeks,there is a penalty of $300.What is the highest total cost for completing this project? $$\begin{array} { | l | l | l | l | l | l }
\hline \text { Activity } & \begin{array} { l }
\text { Narmal } \
\text { time }
\end{array} & \begin{array} { l }
\text { Crash } \
\text { time }
\end{array} & \begin{array} { l }
\text { Narmal } \
\text { Cust }
\end{array} & \begin{array} { l }
\text { Crash } \
\text { Cast }
\end{array} & \text { Predecessar } \
\hline \text { A } & 8 & 5 & \$1 , 000 & 2,000 & \
\hline B & 6 & 4 & 1,500 & 2,000 & \text { A } \
\hline \mathrm { C } & 8 & 5 & 1,800 & 2,300 & \text { A } \
\hline \mathrm { B } & 12 & 9 & 1,000 & 1,800 & \mathrm {~B} \
\hline \mathrm { E } & 14 & 11 & 950 & 1,450 & \mathrm {~B} \
\hline \mathrm { F } & 9 & 7 & 1,500 & 1,900 & \mathrm { C } , \mathrm { D } \
\hline \mathrm { G } & 7 & 5 & 2,300 & 2,800 & \mathrm { E } , \mathrm { F } \
\hline
\end{array}$$
A)$14,250
B)$13,950
C)$13,550
D)$13,150

Question

A project has the activity duration and cost information indicated in the table where all times are in weeks.For every week longer than 30 weeks,there is a penalty of $300.What is the highest total cost for completing this project? $$\begin{array} { | l | l | l | l | l | l } 
\hline \text { Activity } & \begin{array} { l } 
\text { Narmal } \
\text { time }
\end{array} & \begin{array} { l } 
\text { Crash } \
\text { time }
\end{array} & \begin{array} { l } 
\text { Narmal } \
\text { Cust }
\end{array} & \begin{array} { l } 
\text { Crash } \
\text { Cast }
\end{array} & \text { Predecessar } \
\hline \text { A } & 8 & 5 & \$1 , 000 & 2,000 & \
\hline B & 6 & 4 & 1,500 & 2,000 & \text { A } \
\hline \mathrm { C } & 8 & 5 & 1,800 & 2,300 & \text { A } \
\hline \mathrm { B } & 12 & 9 & 1,000 & 1,800 & \mathrm {~B} \
\hline \mathrm { E } & 14 & 11 & 950 & 1,450 & \mathrm {~B} \
\hline \mathrm { F } & 9 & 7 & 1,500 & 1,900 & \mathrm { C } , \mathrm { D } \
\hline \mathrm { G } & 7 & 5 & 2,300 & 2,800 & \mathrm { E } , \mathrm { F } \
\hline
\end{array}$$
A)$14,250
B)$13,950
C)$13,550
D)$13,150

Quizplus · Accepted Answer

The highest total cost is achieved by crashing all activities to their minimum duration, resulting in a total project duration of 30 weeks, thus avoiding any penalties. The total cost is the sum of all crash costs: $2,000 (A) + $2,000 (B) + $2,300 (C) + $1,800 (D) + $1,450 (E) + $1,900 (F) + $2,800 (G) = $14,250.

A Project Has the Activity Duration and Cost Information Indicated