The Heir to the Throne Was Due 60 Days from Now

question 8

Essay

The heir to the throne was due 60 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.Just to be on the safe side,he decided to bring the project in at 53 days in case the delivery was a week early.Tell him what the least expensive 53-day project is; which activities should be reduced in duration,by how many days,and at the total cost,so he can roll up the sleeves on his "World's Greatest Dad" sweatshirt,and get to work. $$\begin{array} { | l | l | l | l | l | l | } \hline \text { Activity } & \begin{array} { l } \text { Normal } \\\text { time }\end{array} & \begin{array} { l } \text { Crash } \\\text { time }\end{array} & \begin{array} { l } \text { Normal } \\\text { Cost }\end{array} & \begin{array} { l } \text { Crash } \\\text { Cost }\end{array} & \text { Predecessor } \\\hline \text { A } & 5 & 3 & 500 & 1100 & \\\hline \text { B } & 18 & 15 & 900 & 2300 & \text { A } \\\hline \text { C } & 12 & 9 & 2500 & 3000 & \text { A } \\\hline \text { D } & 9 & 7 & 500 & 650 & \text { B } \\\hline \text { E } & 15 & 12 & 3000 & 5000 & \text { B } \\\hline \text { F } & 12 & 10 & 4000 & 5000 & \text { C, D } \\\hline \text { G } & 20 & 15 & 3600 & 4800 & \text { E, F } \\\hline\end{array}$$

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Definitions:

Proportion

Represents a part or fraction of a whole, usually expressed as a percentage or ratio in statistical contexts.

Unrelated Living Kidney Donation

The act of donating a kidney by a living person who has no genetic or familial relationship to the recipient.

Test Statistic

A value calculated from sample data during a hypothesis test, used to determine whether to reject the null hypothesis.

Statistically Significant

Describes a result that is unlikely to have occurred by chance alone, according to a predefined significance level.