For all questions, prepare a written report showing your answers. Upload the CPLEX or the EXCEL file you have used to find your solutions. DEA has been used to measure the relative efficiency of a group of hospitals. This study involved twelve hospitals; data on two input measures and two output measures are provided in Table Inputs Doctors Hospital A 20 B C 19 25 27 D E Outputs Outpatients Inpatients 100 90 150 50 160 55 180 72 94 66 230 90 220 88 152 80 190 100 250 100 260 147 22 F 55 33 31 Nurses 151 131 160 168 158 255 235 206 244 268 306 284 G H 1 J K 30 50 53 38 250 120 1) Write the dual DEA model (envelopment) for Hospital I and determine the optimal solution. 2) Determine the level of technical and mix inefficiencies of Hospital I. For all questions, prepare a written report showing your answers. Upload the CPLEX or the EXCEL file you have used to find your solutions. DEA has been used to measure the relative efficiency of a group of hospitals. This study involved twelve hospitals; data on two input measures and two output measures are provided in Table Inputs Doctors Hospital A 20 B C 19 25 27 D E Outputs Outpatients Inpatients 100 90 150 50 160 55 180 72 94 66 230 90 220 88 152 80 190 100 250 100 260 147 22 F 55 33 31 Nurses 151 131 160 168 158 255 235 206 244 268 306 284 G H 1 J K 30 50 53 38 250 120 1) Write the dual DEA model (envelopment) for Hospital I and determine the optimal solution. 2) Determine the level of technical and mix inefficiencies of Hospital