(Solved)CASE PROBLEM CP3-1. The school board of a certain city has
CASE PROBLEM CP3-1. The school board of a certain city 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 busing for all middle-school students who must travel more than approximately 1 mile, so the school board wants a plan for reassigning the students that wil 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 thc schools is shown in the following tablc (along with other basic data for next.year), where 0 indicates that busing is not needed and a dash indicates an infeasible assignment. No. of Area Students PercentagePercentagePercentage in 7th Grade Busing Cost per Student ($) School 1School 2 School 3 in 8th Grade 30 35 38 32 27 38 in 6th Grade 450 600 550 350 500 450 300 32 37 30 28 39 34 38 28 32 40 34 28 400 300 500 700 500 200 4 200 400 500 School capacity: 900 1,100 1,000 The school board also has imposed the restriction that each grade must constitute between 30 and 35 percent of each school’s population. The above table shows the percentage of each area’s middle-school population for next year that falls into each of the three grades. The school attendance zone boundaries can be drawn so as to split any given area among more than one school, but assume that the percentages shown in the table will continue to hold for any partial assignment of an area to a school. You have been hired as an OR consultant to assist the school board in determining how many students in each area should be assigned to each school. (a) Formulate a linear programming model for this problem
Answer to CASE PROBLEM CP3-1. The school board of a certain city has. . .