Consider the Project Described by the Table Where All Durations

question 84

Essay

Consider the project described by the table where all durations are in days and the costs in dollars.What is the minimum cost of completing this project in 150 days?
$\begin{array}{|l|l|l|l|l|l|}\hline&&\text { Normal } & \text { Minimum } & \text {Normal }\\ \text { Activity} & \text { Predecessor } & \text {Time } & \text { Time } & \text { Cost } & \text { Crash Cost }\\ \hline\mathrm{A} & 15 & 12 & 800 & 1,100 & \\\hline\mathrm{B} & \mathrm{A} & 30 & 22 & 2,500 & 4,100 \\\hline \mathrm{C} & \mathrm{A} & 45 & 37 & 21,000 & 33,000 \\\hline \mathrm{D} & \mathrm{C} & 20 & 17 & 15,000 & 22,000 \\\hline\mathrm{E} & \mathrm{D} & 5 & 4 & 3,000 & 3,300 \\\hline\mathrm{F} & \mathrm{B} & 10 & 7 & 13,000 & 15,500 \\\hline \mathrm{G} & \mathrm{F} & 30 & 25 & 41,000 & 46,000 \\\hline \mathrm{H} & \mathrm{J}, \mathrm{E} & 50 & 45 & 30,000 & 37,500 \\\hline \mathrm{J} & \mathrm{F} & 25 & 20 & 20,000 & 25,000 \\\hline\mathrm{K} & \mathrm{G} & 35 & 33 & 6,500 & 7,200 \\\hline\mathrm{L} & \mathrm{K} & 40 & 33 & 16,500 & 19,400 \\\hline\mathrm{M} &\mathrm{L} & 15 & 13 & 14,400 & 18,600 \\\hline \mathrm{N} & \mathrm{K} & 30 & 26 & 23,500 & 27,500 \\\hline\mathrm{P} & \mathrm{H} & 20 & 15 & 15,250 & 23,500 \\\hline\mathrm{Q} & \mathrm{N}, \mathrm{P} & 5 & 5 & 5,000 & 5,000\\\hline \end{array}$

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