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:

Fiscal Period

A specific time period used for accounting purposes and preparing financial statements, usually twelve months.

Accumulated Depreciation

The cumulative amount of depreciation cost recorded for an asset from the time it was first utilized.

Fixed Asset Account

An account that tracks the purchase, depreciation, and disposal of long-term assets used in the production of goods or services.

Book Value

The net value of a company's assets minus its liabilities, as reported on the balance sheet, often used to assess a company's worth.