The Hospital Administrators at New Hope, County General, and City $\quad$

question 38

Essay

The hospital administrators at New Hope, County General, and City East recently received notice of an impending state inspection of their facilities. Under new guidelines established to improve the overall health care system, state inspectors will be assessing the efficiency of each hospital. The staff at New Hope has suggested a mutual assistance program in preparation for the inspections and have proposed using DEA as a means to assess the efficiency of each facility. The data collected thus far is summarized in the following table. All data reflects averages compiled over the past six months.
$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\text { Hospital }$
$\begin{array}{lccc}&\text { New Hope } & \text { Countv General } & \text { City East }\\\hline \text { Input Measures } & & & \\\text { Bed days unused (1000s) } & 83.0 & 105.0 & 104.1 \\\text { Supply expense }(\$ 1000 \mathrm{~s}) & 123.8 & 162.3 & 154.0 \\\text { Full-time staff } & 225.0 & 200.0 & 231.0 \\\text { Output Measures } & & & \\\text { Patient-days (1000s) } & 105.0 & 71.0 & 82.7 \\\text { Nurses qualified } & 253.0 & 92.0 & 175.0 \\\text { Assistants on staff } & 125.0 & 45.0 & 65.0 \\\text { Custnmer satisfactinn } & 98.0 & 88.0 & 83.0\end{array}$
Enter the numbers in the appropriate cells of ranges B4:H6 in the Excel spreadsheet to solve this problem based on the following formulation.
Let $\quad w _ { i } =$ werght as5igned to dutput $j , j = 1 , \ldots , 4$
$\mathbf { v } _ { i } =$ waight as5igned to ingut $i , i = 1 , \ldots , 3$

MAX: $\left. \left. \quad 82.7 w _ { 1 } + 175 .\right] w _ { 2 } + 65.0 w _ { 3 } + 83 .\right] w _ { 4 }$
Subject to:
$105.1 w _ { 1 } + 253.0 w _ {2 } + 125.0 w _ { 3 } + 98.0 w _ { 4 } - 83.0 v _ { 1 } - 123.8 v _ { 2 } - 225.0 v _ { 3 } \leq 0$
$71.0 w _ { 1 } + 92.0 w _ { 2 } + 45.0 w _ { 3 } + 88.0 w _ { 4 } - 105.0 v _ { 1 } - 162.3 v _ { 2 } - 200 v _ { 3 } \leq 0$
$82.7 w _ { 1 } + 175.0 w _ { 2 } + 65.0 w _ { 3 } + 83.0 w _ { 4 } - 104.1 v _ { 1 } - 154.0 v _ { 2 } - 231.0 v _ { 3 } \leq 0$
$104.1 \mathbf { v } _ { 1 } + 154.0 \mathbf { v } _ { \mathbf { 2 } } + 231.0 \mathbf { v } _ { \mathbf { 3 } } = 1$
$w _ { 1 , } w _ { 2 } w _ { 3 , } w _ { 4 } , \mathbf { v } _ { 1 } , \mathbf { v } _ { 2 } , \mathbf { v } _ { 3 } \geq0$

Comprehend the relationship between validity and reliability in evaluating social work interventions.

Develop cultural competence in evaluation efforts and understand strategies for enhancing it.

Explore different outcomes of interventions and the importance of addressing termination in social worker-client relationships.

Understand the concept and components of working capital.

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Definitions:

Chemoautotrophic Bacteria

Bacteria that obtain their energy through the oxidation of inorganic molecules, rather than using sunlight for photosynthesis.

Trophic Level

Position of an organism in a food chain.

Chaparral Biome

A biome characterized by dense, spiny shrubs and a Mediterranean climate, with hot, dry summers and mild, wet winters, typically found in California and the Mediterranean region.