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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Definitions:

Proximate Cause

Legal cause; exists when the connection between an act and an injury is strong enough to justify imposing liability.

Assault

An intentional act by one person that creates an apprehension in another of an imminent harmful or offensive contact.

Immediate Physical Harm

The urgent threat or actual occurrence of bodily injury or damage to a person's health.

Battery

A criminal offense involving the unlawful physical acting upon a threat, notably without the consent of the victim.