Model Formulation: Clearly define the variables, objective functions and constraints in a LP model, using generic form in model formulation is not allowed. Illustrate the output found using your design.Due to the decline in student population, the education bureau (EDB) decides to close one of its primary schools in the district at the end of this school year and reassign all the next year's primary school students to the three remaining middles schools. The school district provides bus service for all primary school students, so the school board wants a plan for reassigning the students that will minimize the total bus cost. The annual cost per student for the bus from each of the residential areas to each of the school is shown in the following table, where 0 indicates that the bus service is not needed and line indicates an infeasible assignment. Bus cost per student Area School A School B School C Tai Wai 300 700 Shatin --- 400 500 Fo Tan 600 300 200 Tai Po 200 500 --- Tai Wo 0 400 Fanling 500 300 0 School 900 1150 1200 capacity In addition, the following table shows the percentage of each area's primary school population of the next year that falls into each of the three grades. Area Number of Percentage in Percentage in Percentage in students P1 P2 P3 Tai Wai 450 38 32 30 Shatin 600 35 40 25 Fo Tan 350 28 36 36 Tai Po 600 28 40 32 Tai Wo 450 38 34 28 Fanling 550 40 32 28