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

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
$\begin{array}{cccc}&&\text { New Hope}&\text { County General }&\text { City East }\\\hline\text { Input Measures }\\&\text { Bed days unused 1000s) } & 83.0 & 105.0 & 104.1 \\&\text { Supply expense } \$ 1000 \mathrm{~s}) & 123.8 & 162.3 & 154.0 \\&\text { Full-time staff } & 225.0 & 200.0 & 231.0 \\& & & \\\text { Output Measures }\\&\text { Patient-days 1000s) } & 105.0 & 71.0 & 82.7 \\&\text { Nurses qualified } & 253.0 & 92.0 & 175.0 \\&\text { Assistants on staff } & 125.0 & 45.0 & 65.0\end{array}$

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?