The map that follows shows the locations of 8 applicants for low-power radio station licences and the

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The map that follows shows the locations of 8 applicants for low-power radio station licences and the approximate range of their signals.

Regulators have scored the quality of applications on a scale of 0 to 100 as 45, 30, 84, 73, 80, 70, 61, and 91, respectively. They wish to select the highest-
quality combination of applications that has no overlap in signal ranges.

(a) Formulate this problem as a set packing ILP.

(b) Use class optimization software to solve your ILP.

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