Consider above problem. Suppose that the weight of facility 2 is 20. Applying the median method, it can be verified that the optimal location is (10, 10) - the centroid of department 2, where immovable structures exist. It is now desired to find a feasible and “near-optimal” location using the contour line method.
 

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4-Two high speed copiers are to be located in the fifth floor of an office complex which houses four departments of the Social Security Administration. Coordinates of the centroid of each department as well as the average number of trips made per day between each department and the copiers' yet-to-be-determined location are known and given in Table below. Assume that travel originates and ends at the centroid of each department. Determine the optimal location, i.e., x, y coordinates, for the copiers. Dept. Coordinates Average number of # X y daily trips to copiers 1 10 2 6 234 10 10 10 8 12 65 8 4-Two high speed copiers are to be located in the fifth floor of an office complex which houses four departments of the Social Security Administration. Coordinates of the centroid of each department as well as the average number of trips made per day between each department and the copiers' yet-to-be-determined location are known and given in Table below. Assume that travel originates and ends at the centroid of each department. Determine the optimal location, i.e., x, y coordinates, for the copiers. Dept. Coordinates Average number of # X y daily trips to copiers 1 10 2 6 234 10 10 10 8 12 65 8