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What Is the Minimum Completion Cost of This Project If

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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.
 Reg  Crash  Reg  Crash  Reg  Crash  Reg  Crash  Activity Length Length Cost  Cost  Activity  Length  Length Cost Cost A764001,200L758001,500C11450450N655001,250D965502,350R44600600E975001,650S1084501,350J216001,800Y866751,750\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}

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Definitions:

Payoff Matrix

A table that represents the potential outcomes of different decisions in a strategic situation, showing the payoffs for each participant.

Simultaneous Game

A strategic situation where all players make their decisions or choose their actions at the same time.

Pricing Games

Strategic maneuvers or tactics used by companies to set prices in a way that maximizes profit or market share, often considering the actions of competitors.

Allocatively Inefficient

A situation where resources are not allocated in a way that maximizes the total benefits to society, often leading to overproduction or underproduction of certain goods.

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