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The Springfield 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 next year’s middle school students to the three remaining middle schools. The school district provides bussing 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 bussing cost. The annual cost per student of bussing from each of the six residential areas of the city to each of the schools is shown in the following table (along with other basic data for next year), where indicates that bussing is not needed and a dash indicates an infeasible assignment What is your resulting recommendation to the school board? After seeing your recommendation, the school board expresses concern about all the splitting of residential areas among multiple schools.