Question: Group-11 A school board has made the decision to close one of its middle schools (sixth, seventh and eighth grades) at the end of this

Group-11 A school board has made the decision to close one of its middle schools (sixth, seventh and eighth grades) at the end of this school year and reassign all of next year's middle school students to the three remaining middle schools. The school district provides for all middle school students who must travel more than approximately a mile, so the school board wants a plan for reassigning the students that will minimize the total busing cost. The annual cost per student of busing from each of the six residential areas of the city to each of the schools is shown in Table (along with other basic data for next year), where 0 indicates that busing is not needed and a dash indicates an infeasible assignment. The school board also has imposed the restriction that each grade must constitute between 30 and 36 percent of each school's population. The table shows each area's middle school population for next year. We have been hired as an operations research consultant to assist the school board in determining how many students in each area should be assigned to each school. Our job is to formulate and solve a linear program for this
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