Mountainside State Park Has Four Visitor Centers $\quad$ E $+ 0 w n + 0 w s + 0 w e + 0 w w$

question 30

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
OPTIMAL SOLUTION
Objective Function Value = 1.000

Min $\quad$ E $+ 0 w n + 0 w s + 0 w e + 0 w w$
S.T. 1) $- 400 \mathrm { E } + 400 w n + 1200 w s + 2400 w e + 1500 w w$
2) $- 3 \mathrm { E } + 3 w n + 6 w s + 10 w e + 7 w w < 0$
3) $- 56 \mathrm { E } + 56 w n + 108 w s + 92 w e + 108 w w < 0$
4) $- 49 \mathrm { E } + 49 w n + 83 w s + 56 w e + 72 w w > 0$
5) $- 38 \mathrm { E } + 38 w n + 425 w s + 1200 w e + 630 w w > 0$
$6 ) + 1 w n + 1 w s + 1 w e + 1 w w = 1$
$$\begin{array} { l l l } \text { Variable } & \text { Value } & \text { Reduced Cost } \\\text { E } & 1.000 & 0.000 \\\text { wn } & 1.000 & 0.000 \\\text { ws } & 0.000 & 0.000 \\\text { we } & 0.000 & 0.000 \\\text { ww } & 0.000 & 0.000\end{array}$$

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Definitions:

Efficiency

The ability to accomplish a job with a minimum expenditure of time and resources.

Revenue Generated

Income received from business activities like sales, services, and other operations.

Working Capital

The difference between a company's current assets and current liabilities, indicating its short-term liquidity.

External Users

Individuals or entities outside a company who use its financial information, such as investors, creditors, and regulatory agencies.