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What Is the Minimum Completion Cost of This Project If

question 14

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What is the minimum completion cost of this project if there is a penalty of $1,000 for each day the project lasts longer than 27 days? Activity durations in days and crash costs in dollars are given in the table.
$\begin{array}{|l|l|l|l|l|l|l|l|l|l|}\hline&\text { Reg } & \text { Crash }& \text { Reg } &\text { Crash }&&\text { Reg } & \text { Crash }& \text { Reg } &\text { Crash } \\ \text { Activity }&\text {Length }&\text {Length }&\text {Cost }& \text { Cost }&\text { Activity }&\text { Length }&\text { Length }&\text {Cost }&\text {Cost }\\\hline \mathrm{A} & 7 & 6 & 400 & 1,200 & \mathrm{L} & 7 & 5 & 800 & 1,500 \\\hline \mathrm{C} & 1 & 1 & 450 & 450 & \mathrm{N} & 6 & 5 & 500 & 1,250 \\\hline \mathrm{D} & 9 & 6 & 550 & 2,350 &\mathrm{R} & 4 & 4 & 600 & 600 \\\hline \mathrm{E} & 9 & 7 & 500 & 1,650 & \mathrm{S} & 10 & 8 & 450 & 1,350 \\\hline \mathrm{J} & 2 & 1 & 600 & 1,800 & \mathrm{Y} & 8 & 6 & 675 & 1,750\\\hline \end{array}$
$What is the minimum completion cost of this project if there is a penalty of $1,000 for each day the project lasts longer than 27 days? Activity durations in days and crash costs in dollars are given in the table. \begin{array}{|l|l|l|l|l|l|l|l|l|l|} \hline&\text { Reg } & \text { Crash }& \text { Reg } &\text { Crash }&&\text { Reg } & \text { Crash }& \text { Reg } &\text { Crash } \\ \text { Activity }&\text {Length }&\text {Length }&\text {Cost }& \text { Cost }&\text { Activity }&\text { Length }&\text { Length }&\text {Cost }&\text {Cost }\\ \hline \mathrm{A} & 7 & 6 & 400 & 1,200 & \mathrm{L} & 7 & 5 & 800 & 1,500 \\ \hline \mathrm{C} & 1 & 1 & 450 & 450 & \mathrm{N} & 6 & 5 & 500 & 1,250 \\ \hline \mathrm{D} & 9 & 6 & 550 & 2,350 &\mathrm{R} & 4 & 4 & 600 & 600 \\ \hline \mathrm{E} & 9 & 7 & 500 & 1,650 & \mathrm{S} & 10 & 8 & 450 & 1,350 \\ \hline \mathrm{J} & 2 & 1 & 600 & 1,800 & \mathrm{Y} & 8 & 6 & 675 & 1,750\\ \hline \end{array}$

Definitions:

Developmental Milestones

Key stages in the physical, emotional, intellectual, and social development of humans, especially as observed in children as they grow.

Self-esteem

An individual's subjective assessment of their own worth or value.

Warmly Supportive Parents

Parents who provide unconditional love, encouragement, and support to their children.

Maturation

The process of development and growth, whether physical or psychological, that occurs naturally over time, influenced by genetic and environmental factors.