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A Project Has the Activity Duration and Cost Information Indicated

question 56

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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 $250 per week for every week the project extends beyond 32 weeks.What is the cost of the least expensive project possible?  Activity  Narmal  time  Crash  time  Narmal  Cust  Crash  Cast  Predecessar  A 85$1,0002,000B641,5002,000 A C851,8002,300 A B1291,0001,800 BE14119501,450 BF971,5001,900C,DG752,3002,800E,F\begin{array} { | l | l | l | l | l | l } \hline \text { Activity } & \begin{array} { l } \text { Narmal } \\\text { time }\end{array} & \begin{array} { l } \text { Crash } \\\text { time }\end{array} & \begin{array} { l } \text { Narmal } \\\text { Cust }\end{array} & \begin{array} { l } \text { Crash } \\\text { Cast }\end{array} & \text { Predecessar } \\\hline \text { A } & 8 & 5 & \$ 1, 000 & 2,000 & \\\hline B & 6 & 4 & 1,500 & 2,000 & \text { A } \\\hline \mathrm { C } & 8 & 5 & 1,800 & 2,300 & \text { A } \\\hline \mathrm { B } & 12 & 9 & 1,000 & 1,800 & \mathrm {~B} \\\hline \mathrm { E } & 14 & 11 & 950 & 1,450 & \mathrm {~B} \\\hline \mathrm { F } & 9 & 7 & 1,500 & 1,900 & \mathrm { C } , \mathrm { D } \\\hline \mathrm { G } & 7 & 5 & 2,300 & 2,800 & \mathrm { E } , \mathrm { F } \\\hline\end{array}


Definitions:

Wide Data

A data set that has so many variables that simultaneous consideration of all variables is infeasible.

Sampling Distribution

A distribution indicating the probabilities of a statistic, which is calculated from a random sample.

Sample Proportion

The fraction of the sample that represents a particular attribute or characteristic.

Normal Probability Distribution

A bell-shaped distribution characterized by its mean and standard deviation, representing a continuous random variable.

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