A linear programming computer package is needed. In Section 5.1 data envelopment analysis was used to evaluate the relative efficiencies of four hospitals. Data for three input measures and four output measures were provided in the following figures. Relationship Between the Output Measures for the Four Hospitals and the Output Measures for the Composite HospitalFive hospitals, each displaying their output measures for: Medicare, Non-Medicare, Nurses, and Interns. The five hospitals and their outputs are as follows. General Hospital assigned variable wg; Medicare: 48.14; Non-Medicare: 43.10; Nurses: 253; Interns: 41 University Hospital assigned variable wu; Medicare: 34.62; Non-Medicare: 27.11; Nurses: 148; Interns: 27 County Hospital assigned variable wc; Medicare: 36.72; Non-Medicare: 45.98; Nurses: 175; Interns: 23 State Hospital assigned variable ws; Medicare: 33.16; Non-Medicare: 56.46; Nurses: 160; Interns: 84 Composite Hospital not assigned a variable Medicare: 48.14 wg + 34.62 wu + 36.72 wc + 33.16 ws Non-Medicare: 43.10 wg + 27.11 wu + 45.98 wc + 56.46 ws Nurses: 253 wg + 148 wu + 175 wc + 160 ws Interns: 41 wg + 27 wu + 23 wc + 84 ws Relationship Between the Input Measures for the Four Hospitals and the Input Measures for the Composite HospitalFive hospitals, each displaying their input measures for: FTE nonphysicians, Supply expense, and Bed-days. The five hospitals and their inputs are as follows. General Hospital assigned variable wg; FTE nonphysicians: 285.20; Supply expense: 123.80; Bed-days: 106.72; University Hospital assigned variable wu; FTE nonphysicians: 162.30; Supply expense: 128.70; Bed-days: 64.21; County Hospital assigned variable wc; FTE nonphysicians: 275.70; Supply expense: 348.50; Bed-days: 104.10; State Hospital assigned variable ws; FTE nonphysicians: 210.40; Supply expense: 154.10; Bed-days: 104.04; Composite Hospital not assigned a variable FTE nonphysicians: 285.20 wg + 162.30 wu + 275.70 wc + 210.40 ws Supply expense: 123.80 wg + 128.70 wu + 348.50 wc + 154.10 ws Bed-days: 106.72 wg + 64.21 wu + 104.10 wc + 104.04 ws (a) Use these data to develop a linear programming model that could be used to evaluate the performance of General Hospital. (Let EI = the efficiency index.) Min s.t. sum of weights Medicare patient-days (1,000s) Non-Medicare patient-days (1,000s) Nurses trained Interns trained Full-time equivalent nonphysicians Supply expenses ($1,000s) Bed-days available (1,000s) EI, wg, wu, wc, ws 0 (b) The following solution is optimal. Does the solution indicate that General Hospital is relatively inefficient? Objective Function Value = 1.000 Variable Value Reduced Costs EI 1.000 0.000 wg 1.000 0.000 wu 0.000 0.000 wc 0.000 0.331 ws 0.000 0.215 Since the value of wg is , the solution ---Select--- that the General Hospital is relatively inefficient. (c) Which hospital or hospitals make up the composite unit used to evaluate General Hospital. (Select all that apply.) University Hospital State Hospital General Hospital County Hospital