1. [-17 Points] DETAILS ASWMSCI15 5.E.001. 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 Hospital General Medicare Non-Medicare Nurses Interns University Medicare Non-Medicare Nurses Interns 48.14 43.10 253 41 34.62 27.11 County Medicare Non-Medicare Nurses Interns 36.72 45.98 175 23 State Medicare Non-Medicare Nurses Interns 33.15 56.46 160 184 27 Composite Medicare Non-Medicare Nurses Interns 48.14wg + 34.62 + 36.72we + 33.16 43.10wg +27.11wu+ 45.98we + 56.46ws 253wg + 148 + 175we + 160 27ww + 23we+ ws Relationship Between the Input Measures for the Four Hospitals and the Input Measures for the Composite Hospital General 285,20 PTE nonphysicians 123.80 Supply expense 106.72 Bed-days University 16230 PTE nonphysicians 128.70 Supply expense 64.21 Bed-days County 275.70 PTE nonphysicians 348.50 Supply expense 104.10 Bed-days State 210.40 FTE physicians 154.10 Supply expense 104.04 Bed-days Composite 285.20hvg + 162.30w + 275.70we + 210.4 FTE nonphysicians 123.80wg + 128.70ww + 348,50we + 154.10ws Supply expense 106.72wg + 64.21 ww + 104.1Owe + 104.04w Bed-clays (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 lwg + lwu + lwc + lws = 1 s.t. sum of weights Medicare patient-days (1,000s) - Non-Medicare patient-days (1,000s) - Nurses trained III|IIII 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 Reduced Costs Value 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 does not indicate 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.) General Hospital O County Hospital O University Hospital O State Hospital 1. [-17 Points] DETAILS ASWMSCI15 5.E.001. 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 Hospital General Medicare Non-Medicare Nurses Interns University Medicare Non-Medicare Nurses Interns 48.14 43.10 253 41 34.62 27.11 County Medicare Non-Medicare Nurses Interns 36.72 45.98 175 23 State Medicare Non-Medicare Nurses Interns 33.15 56.46 160 184 27 Composite Medicare Non-Medicare Nurses Interns 48.14wg + 34.62 + 36.72we + 33.16 43.10wg +27.11wu+ 45.98we + 56.46ws 253wg + 148 + 175we + 160 27ww + 23we+ ws Relationship Between the Input Measures for the Four Hospitals and the Input Measures for the Composite Hospital General 285,20 PTE nonphysicians 123.80 Supply expense 106.72 Bed-days University 16230 PTE nonphysicians 128.70 Supply expense 64.21 Bed-days County 275.70 PTE nonphysicians 348.50 Supply expense 104.10 Bed-days State 210.40 FTE physicians 154.10 Supply expense 104.04 Bed-days Composite 285.20hvg + 162.30w + 275.70we + 210.4 FTE nonphysicians 123.80wg + 128.70ww + 348,50we + 154.10ws Supply expense 106.72wg + 64.21 ww + 104.1Owe + 104.04w Bed-clays (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 lwg + lwu + lwc + lws = 1 s.t. sum of weights Medicare patient-days (1,000s) - Non-Medicare patient-days (1,000s) - Nurses trained III|IIII 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 Reduced Costs Value 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 does not indicate 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.) General Hospital O County Hospital O University Hospital O State Hospital