Problem 6 (5 points): In the production area of a manufacturing firm, four machines are located at the coordinate points (0,4), a) Without solving the problem, find the location for the new facility such that maximum distance traveled to any of the b) Assuming that all of the existing facilities have the same amount of movement with the new facility, without solving (0, 8), (4, 0), and (8, 0). A new machine is to be located in the plant that has interaction with all the existing machines. existing facilities is minimized the problem, find the location for the new facility
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