Problem 2 A fast-food chain is attempting to determine the best location of a new outlet. Management wants to determine the best location for drawing customers from three population centers. Letting (xl, x2) represent the map coordinates of the three population centers, we can show their locations as: Population center l : Population center 2: Population center 3 xl-2, X2-8 xl 6, x2 = 6 If the new outlet were located at coordinates (xl = 3, x2 = 2), it would be (3-1) + (2-1) = 3 km from population center 3 (distance is measured as the sum of the east-west and north-south differences in Formulate a goal programming model to determine the location for the new outlet that will minimize the total distance from the three population centers. Do not solve it. 12

Problem 2 A fast-food chain is attempting to determine the best location of a new outlet. Management wants to determine the best location for drawing customers from three population centers. Letting (xl, x2) represent the map coordinates of the three population centers, we can show their locations as: Population center l : Population center 2: Population center 3 xl-2, X2-8 xl 6, x2 = 6 If the new outlet were located at coordinates (xl = 3, x2 = 2), it

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