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A Project Has the Activity Duration and Cost Information Indicated

question 95

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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 $6,000 per week for every week the project extends beyond 25 weeks.What is the lowest total cost duration 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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