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For the follwoing problem work on (d) only , just write the objective function a

ID: 3126962 • Letter: F

Question

For the follwoing problem work on (d) only, just write the objective function and constraints in mathematical form. You do not have to solve...it's already solved here: http://www.chegg.com/homework-help/assigning-students-schoolsthe-springfield-school-board-made-chapter-3-problem-5cs-solution-9780078096600-exc

CASE 4.3 ASSIGNING STUDENTS TO SCHOOLS 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 of 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 ap- proximately 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 0 indicates that bussing is not needed and a dash indicates an infeasible assignment. Percentage in 6th Percentage in 7th Grade Percentage Bussing Cost per Student No. of in 8th Grade School 1 School 2 School 3 Area Students Grade 450 600 550 350 38 28 600 $400 $700 $300 $300 37 30 28 39 34 0 S00 200 $300 38 32 450 38 School capacity: 900 1,100 1,000 The school board also has imposed the restriction that each grade must constitute between 30 and 36 percent of each school's population. The above table shows the per centage of each area's middle school population for next year that falls into each of

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