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The Hospital Administrators at New Hope,County General,and City East Recently

Question 63

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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.
Hospital
 New Hope County General  City East  Input Measures  Bed days unused 1000s) 83.0105.0104.1 Supply expense $1000 s)123.8162.3154.0 Full-time staff 225.0200.0231.0 Output Measures  Patient-days 1000s) 105.071.082.7 Nurses qualified 253.092.0175.0 Assistants on staff 125.045.065.0\begin{array}{cccc}&&\text { New Hope}&\text { County 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\end{array}

a.Formulate a DEA LP model to evaluate the efficiency of City East.
b.Implement a spreadsheet model for this problem and compute the DEA efficiency for each facility.Which facilities are efficient?

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a.Let wi = weight assigned to output j,j = 1,... ,4
vi = weight assigned to input i,i =

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