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Given the capacities of the three schools, as well as the need to roughly balance the number of students in the three grades at each school, how can
Given the capacities of the three schools, as well as the need to roughly balance the number of students in the three grades at each school, how can linear programming be used to determine how many students from each of the city's six residential areas should be assigned to each school? What would happen if each entire residential area must be assigned to the same school?