Develop the DEA model that would evaluate the efficiency of School A.Define the decision variables as follows:E = the fraction of Hayes School's input available to the Archer School,Wa - weight applied to inputs and outputs for schools A, andWt = weight applied to inputs and outputs for schools B.a. Define the objective function. (5 points)b. Define the constraints for inputs. (10 points)

The Eastern Washington County School Corporation is interested in comparing educational performance at two high schools and has hired you to prepare a DEA model to do so. After detailed conversations with the corporation administrative staff and the building principals, you have isolated the following input and output measurements: Data is collected for each school on each measure. Input School A School B Outputs School A School B Senior 37 25 Average SAT 800 830 Faculty scores Avg. Vol. 64 50 College 140 250 hours Admission