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A Project Has the Activity Duration and Cost Information Indicated

question 85

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A project has the activity duration and cost information indicated in the table where all times are in weeks.There is a penalty of $4,000 per week for every week the project exceeds 37 weeks.What is the lowest total cost for completing this project?  Activity  Predecessor  Normal  Time  Normal  Cost  Crash Time  Crash Cost  A 8$12,0005$22,000B A 12$18,0009$32,000 C  A 15$22,0009$62,000DB3$9,0002$18,000E C 9$15,0005$35,000FE7$5,0005$8,000GD8$13,0006$23,000HA12$20,0008$32,000JH6$45,0004$56,000\begin{array}{|l|l|l|l|l|l|}\hline \text { Activity } & \text { Predecessor } & \begin{array}{l}\text { Normal } \\\text { Time }\end{array} & \begin{array}{l}\text { Normal } \\\text { Cost }\end{array} & \text { Crash Time } & \text { Crash Cost } \\\hline \text { A } & -- & 8 & \$ 12,000 & 5 & \$ 22,000 \\\hline \mathrm{B} & \text { A } & 12 & \$ 18,000 & 9 & \$ 32,000 \\\hline \text { C } & \text { A } & 15 & \$ 22,000 & 9 & \$ 62,000 \\\hline \mathrm{D} & \mathrm{B} & 3 & \$ 9,000 & 2& \$ 18,000 \\\hline \mathbf{E} & \text { C } & 9 & \$ 15,000 & 5 & \$ 35,000 \\\hline \mathrm{F} & \mathrm{E} & 7 & \$ 5,000 & 5 & \$ 8,000 \\\hline \mathrm{G} & \mathrm{D} & 8 & \$ 13,000 & 6 & \$ 23,000 \\\hline \mathrm{H} & \mathrm{A} & 12 & \$ 20,000 & 8 & \$ 32,000 \\\hline \mathrm{J} & \mathrm{H} & 6 & \$ 45,000 & 4 & \$ 56,000 \\\hline\end{array}


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