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    Brooks City Transportation Problem

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    Brooks City has three consolidated high schools, each with a capacity of 1,200 students. The school board has partitioned the city into five busing districts - north, south, east, west, and central - each with different high school student populations. the three schools are located in the central, west, and south districts. Some students must be bused outside of theri district, and the school board wants to minimize the total bus distance traveled by these students. The average distances from each district to the three schools and the total student population in each district are as follows.
    Distance (miles)
    Central West South Student
    District School School School Population

    North 8 11 14 700
    South 12 9 0 300
    East 9 16 10 900
    West 8 0 9 600
    Central 0 8 12 500

    The school board wants to determine the number of students to bus from each district to each school to minimize the total busing miles traveled:
    A. Formulate a linear programming model for this problem.
    B. Solve the model using the computer. QM for Windows Preferred.

    © BrainMass Inc. brainmass.com October 9, 2019, 7:53 pm ad1c9bdddf
    https://brainmass.com/math/linear-programming/brooks-city-transportation-problem-132224

    Solution Summary

    The solution formulate a linear programming model for this transportation problem (minimize the total busing miles traveled) and solves the model using Microsoft Excel.

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