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A fire station has to be located to serve 5 communities located as shown in the table on the right. (a) Where would you locate

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A fire station has to be located to serve 5 communities located as shown in the table on the right. (a) Where would you locate the fire station if you wanted to minimize the total distance of the fire station from the communities? Answer by finding the x and y coordinates of the optimal location. (b) What is the total distance from the fire station to the communities? Hint: The squared distance between two points (a, b) and (c, d} is given by (a c)2 + (b 02 Community I: y 1 14 15 2 6 1 3 11 0 4 3 12 5 14 4

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