Mountainside State Park Has Four Visitor Centers $1 \mathrm { E } + 0 \mathrm { wn } + 0 \mathrm { ws } + 0 \mathrm { we } + 0 \mathrm { ww }$

question 28

Essay

Mountainside State Park has four visitor centers.To study the operation of these centers,a DEA model has been developed that compares inputs (size,number of staff,weekly hours of operation)and outputs (% of visitors attending educational program,daily sales in gift shop).The computer solution is shown below.What can you conclude about the efficiency of the North center?
LINEAR PROGRAMMING PROBLEM
Min $1 \mathrm { E } + 0 \mathrm { wn } + 0 \mathrm { ws } + 0 \mathrm { we } + 0 \mathrm { ww }$
S.T. 1) $- 400 \mathrm { E } + 400 \mathrm { wn } + 1200 \mathrm { ws } + 2400 \mathrm { we } + 1500 \mathrm { ww } < 0$
2) $- 3 E + 3 w n + 6 w s + 10 w e + 7 w w < 0$
3) $- 56 \mathrm { E } + 56 \mathrm { wn } + 108 \mathrm { ws } + 92 \mathrm { we } + 108 \mathrm { ww } < 0$
4) $- 49 \mathrm { E } + 49 \mathrm { wn } + 83 \mathrm { ws } + 56 \mathrm { we } + 72 \mathrm { ww } > 0$
5) $- 38 \mathrm { E } + 38 \mathrm { wn } + 425 \mathrm { ws } + 1200 \mathrm { we } + 630 \mathrm { ww } > 0$
6) $+ 1 w n + 1 w s + 1 w e + 1 w w = 1$
OPTIMAL SOLUTION
Objective Function Value = 1.000 $$\begin{array} { c c c } \text { Variable } & \text { Value } & \text { Reduced Cost } \\\text { E } & 1.000 & 0.000 \\\text { wn } & 1.000 & 0.000 \\\text { ws } & 0.000 & 0.000 \\\text { we } & 0.000 & 0.000 \\\text { ww } & 0.000 & 0.000\end{array}$$ $$\begin{array} { c c c } \text { Constraint } & \text { Slack/Surplus } & \text { Dual Price } \\1 & 0.000 & 0.008 \\2 & 0.000 & 0.000 \\3 & 0.000 & 0.001 \\4 & 0.000 & - 0.034 \\5 & 0.000 & - 0.013 \\6 & 0.000 & - 1.000\end{array}$$

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Definitions:

Effectiveness

The degree to which something achieves its intended outcome or performs its intended function.

Ethical Issues

Pertains to questions and situations that involve distinguishing between right and wrong behavior, often in moral terms, within a professional or social context.

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A system of government where power is divided between a central (national) government and various regional governments.

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The system of practices and institutions of governments directed at upholding social control, deterring and mitigating crime, and sanctioning those who violate laws with criminal penalties and rehabilitation efforts.