Question: 1. A location for the new quality control machine is being searched for. In the existing situation, machines 1, 2, 3, 4 and 5 are

1. A location for the new quality control machine is being searched for. In the existing situation, machines 1, 2, 3, 4 and 5 are located at the points (1, 2), (4, 5), (3, 7), (6, 4) and (2,6), respectively and there are 5, 7, 3, 9, and 8 trips per week, respectively, between the machines and the new quality control machine. Find the location of the new quality control machine which minimizes the maximum distance (minimax) (15 pts.). 1. A location for the new quality control machine is being searched for. In the existing situation, machines 1, 2, 3, 4 and 5 are located at the points (1, 2), (4, 5), (3, 7), (6, 4) and (2,6), respectively and there are 5, 7, 3, 9, and 8 trips per week, respectively, between the machines and the new quality control machine. Find the location of the new quality control machine which minimizes the maximum distance (minimax) (15 pts.)
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