4 A court decision has stated that the enrollment of each high school in Metropolis must be at least 20 percent black.

The numbers of black and white high school students in each of the city’s five school districts are shown in Table 90.

The distance (in miles) that a student in each district must travel to each high school is shown in Table 91. School board policy requires that all the students in a given district attend the same school. Assuming that each school must have an enrollment of at least 150 students, formulate an IP that will minimize the total distance that Metropolis students must travel to high school.

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TABLE 90 District Whites Blacks 1 80 30 2345 70 5 90 10 50 40 60 30