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

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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Because E = 1,the composite vi...

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