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The Heir to the Throne Was Due 56 Days from Now

Question 68

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The heir to the throne was due 56 days from now and the first-time father had a serious construction project on his hands converting his man cave into a nursery.The seven activities,their normal and expedited times (in days)and costs appear in the table.What is the minimum cost to ensure that this project is completed in 56 days? Which activities should be reduced and by how many days?
 Normal  Crash  Normal  Crash  Activity  time  time  Cost  Cast  Predecesar A55001100B18159002300AC12925003000AD97500650BE151230005000BF121040005000C,DG201536004800E,F\begin{array} { | l | l | l | l | l | l |} \hline & \text { Normal } & \text { Crash } & \text { Normal } & \text { Crash } & \\\text { Activity } & \text { time } & \text { time } & \text { Cost } & \text { Cast } & \text { Predecesar } \\\hline\mathrm { A }& 5 & 500 & 1100 & \\\hline \mathrm { B } & 18 & 15 & 900 & 2300 &\mathrm { A } \\\hline \mathrm { C } & 12 & 9 & 2500 & 3000 & \mathrm { A } \\\hline \mathrm { D } & 9 & 7 & 500 & 650 &\mathrm { B } \\\hline \mathrm { E } & 15 & 12 & 3000 & 5000 &\mathrm { B } \\\hline \mathrm { F } & 12 & 10 & 4000 & 5000 & \mathrm { C } , \mathrm { D } \\\hline \mathrm {G}&20&15&3600&4800& \mathrm {E,F}\\\hline\end{array}

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