Consider a town with four elementary schools Aster, Brijbihari, Catholic mission, and DPS. The state has...

 

Transcribed Image Text:

Consider a town with four elementary schools Aster, Brijbihari, Catholic mission, and DPS. The state has implemented a series of standards of learning (SOL) tests in reading, math, and history that all schools are required to administer to all students in the fifth grade. The average test scores are a measurable output of the school's performance. The school board has identified three key resources, or inputs, that affect a school's SOL scores. The teacher-to-student ratio, supplementary funds per student (i.e., funding generated by the PTA and other private sources over and above the normal budget), and the average educational level of the parents (where 12 = high school graduate, 16 college graduate, etc.). These inputs and outputs are summarized as follows: = input 1 = teacher-to-student ratio input 3 = average educational level of parents output 2 = average math SOL score input 2 = supplementary funds/student (in Lakh Rs) output 1 = average reading SOL score output 3 = average history SOL score The school board wants to identify the school or schools that are less efficient in converting their inputs to outputs relative to the other elementary schools in the town. Formulate the above as a DEA-LPP and write the the complete linear programming model for determining the efficiency DPS of the Catholic Mission school and Brijbihari school. School Aster Brijbihari Catholic Mission 1 .06 .05 .08 .06 Inputs 2 Outputs 2 3 75 71 3 1 260 11.3 86 320 10.5 82 72 340 12.0 81 79 460 13.1 81 73 67 80 69 Consider a town with four elementary schools Aster, Brijbihari, Catholic mission, and DPS. The state has implemented a series of standards of learning (SOL) tests in reading, math, and history that all schools are required to administer to all students in the fifth grade. The average test scores are a measurable output of the school's performance. The school board has identified three key resources, or inputs, that affect a school's SOL scores. The teacher-to-student ratio, supplementary funds per student (i.e., funding generated by the PTA and other private sources over and above the normal budget), and the average educational level of the parents (where 12 = high school graduate, 16 college graduate, etc.). These inputs and outputs are summarized as follows: = input 1 = teacher-to-student ratio input 3 = average educational level of parents output 2 = average math SOL score input 2 = supplementary funds/student (in Lakh Rs) output 1 = average reading SOL score output 3 = average history SOL score The school board wants to identify the school or schools that are less efficient in converting their inputs to outputs relative to the other elementary schools in the town. Formulate the above as a DEA-LPP and write the the complete linear programming model for determining the efficiency DPS of the Catholic Mission school and Brijbihari school. School Aster Brijbihari Catholic Mission 1 .06 .05 .08 .06 Inputs 2 Outputs 2 3 75 71 3 1 260 11.3 86 320 10.5 82 72 340 12.0 81 79 460 13.1 81 73 67 80 69