ABC city has 17 neighborhoods. The number of high school students in each neighborhood and the...

 

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ABC city has 17 neighborhoods. The number of high school students in each neighborhood and the time required to drive from each neighborhood to each of the city's two high schools (North and South) are listed in the table below. (you can paste the table in Excel) Neighborhood Number of students 1 2 3 4 5 6 7 8 9 10 11 12 13. 14 15 16 17 200 200 180 100 150 220 150 180 150 210 220 230 120 210 180 190 160 Minutes to South 8 8 4 6 4 10 11 13 12 15 16 20 22162 12 19 18 32 28 Minutes to North 30 35 27 25 22 1212 26 32 34 28 32 19 18 21 24 16 15 4 3 The City Board of Education needs to determine how to assign students to high schools. All students in a given neighborhood must be assigned to the same high school. The Board has set the following goals: Goal 1: Ensure that the difference in enrollment at the two high schools differs by at most 50. Goal 2: Ensure that average student travel time is at most 13 minutes. Goal 3: Ensure that at most 4% of the students must travel at least 25 minutes to school. Determine an optimal assignment of students to high schools (assume no priorities on the goals). ABC city has 17 neighborhoods. The number of high school students in each neighborhood and the time required to drive from each neighborhood to each of the city's two high schools (North and South) are listed in the table below. (you can paste the table in Excel) Neighborhood Number of students 1 2 3 4 5 6 7 8 9 10 11 12 13. 14 15 16 17 200 200 180 100 150 220 150 180 150 210 220 230 120 210 180 190 160 Minutes to South 8 8 4 6 4 10 11 13 12 15 16 20 22162 12 19 18 32 28 Minutes to North 30 35 27 25 22 1212 26 32 34 28 32 19 18 21 24 16 15 4 3 The City Board of Education needs to determine how to assign students to high schools. All students in a given neighborhood must be assigned to the same high school. The Board has set the following goals: Goal 1: Ensure that the difference in enrollment at the two high schools differs by at most 50. Goal 2: Ensure that average student travel time is at most 13 minutes. Goal 3: Ensure that at most 4% of the students must travel at least 25 minutes to school. Determine an optimal assignment of students to high schools (assume no priorities on the goals).

Answer rating: 100% (QA)

No of Neighbourhood students South 1 STERE CU AWNA Neighbourhood 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 ... View the full answer