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1 (30 POINTS) Suppose that you need to design the layout for a manufacturing facility which produces various components for airplanes. The number and type of components to be manufactured change all the time. a) Suppose that there are various machines in this facility, and the average number of loads that are carried between these machines vary according to the following from-to matrix Weld Drill Mill Grind Paint Lathe 0 50 100 Lathe Weld Drill Mill Grind Paint 80 0 80 90 60 0 40 0 30 50 80 30 If you have the following areas for locating these machines, how would you place these five machines in order to minimize the total distances that the loads travel? Find by trial-and-error. area 1 10 m area 2. 10 m area 3 10 m area 4 10 m area 5 10 m area 6