Mountainside State Park Has Four Visitor Centers

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
1E+0wn+0ws+0we+0ww
S.T.
1) -400E+400wn+1200ws+2400we+1500ww<0
2) -3E+3wn+6ws+10we+7ww<0
3) -56E+56wn+108ws+92we+108ww<0
4) -49E+49wn+83ws+56we+72ww>0
5) -38E+38wn+425ws+1200we+630ww>0
6) +1wn+1ws+1we+1ww=1
OPTIMAL SOLUTION
Objective Function Value = 1.000 $$\begin{array} { c c c } \text { Variable } & \text { Value } & \text { Reduced Cost } \\\text { E } & 1.000 & 0.000 \\\text { wn } & 1.000 & 0.000 \\\text { ws } & 0.000 & 0.000 \\\text { we } & 0.000 & 0.000 \\\text { ww } & 0.000 & 0.000\end{array}$$ $$\begin{array} { c c c } \text { Constraint } & \text { Slack/Surplus } & \text { Dual Price } \\1 & 0.000 & 0.008 \\2 & 0.000 & 0.000 \\3 & 0.000 & 0.001 \\4 & 0.000 & - 0.034 \\5 & 0.000 & - 0.013 \\6 & 0.000 & - 1.000\end{array}$$