The Heir to the Throne Was Due 56 Days from Now

question 24

Essay

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?
$$\begin{array} { | l | l | l | l | l | l |} \hline & \text { Normal } & \text { Crash } & \text { Normal } & \text { Crash } & \\\text { Activity } & \text { time } & \text { time } & \text { Cost } & \text { Cast } & \text { Predecesar } \\\hline\mathrm { A }& 5 & 500 & 1100 & \\\hline \mathrm { B } & 18 & 15 & 900 & 2300 &\mathrm { A } \\\hline \mathrm { C } & 12 & 9 & 2500 & 3000 & \mathrm { A } \\\hline \mathrm { D } & 9 & 7 & 500 & 650 &\mathrm { B } \\\hline \mathrm { E } & 15 & 12 & 3000 & 5000 &\mathrm { B } \\\hline \mathrm { F } & 12 & 10 & 4000 & 5000 & \mathrm { C } , \mathrm { D } \\\hline \mathrm {G}&20&15&3600&4800& \mathrm {E,F}\\\hline\end{array}$$

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Definitions:

Daylight Hours

The period during a day when natural light from the sun is available.

Asynchronous Meetings

Meetings where participants engage at different times according to their convenience, rather than gathering at the same time.

Time Zones

Geographic regions that follow the same standard time, affecting scheduling and coordination in global projects.

Worldwide Communication Network

A global system of interconnected electronic systems or networks that facilitate communication across the world.