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Metropolitan metric cross-median approach

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A major furniture manufacturer is trying to determine an optimal location for their new warehouse that will serve their seven retail stores in Ontario. The coordinates of the seven stores on an xy grid (in 100's of kms) are C1 = (1,9), C2 = (1,2), C3 = (2,5), C4 = (5,7), C5 = (5,3), C6 = (8,4), and C7 = (9,8). The manufacturer uses the number of merchandise palettes that will be delivered to each store monthly to assign the following weights:

w1 = 180, w2 = 95, w3 = 75, w4= 140, w5 = 105, w6 = 110, w7 = 65

Using the metropolitan metric cross-median approach, recommend a location for the warehouse that will minimize total delivery travel distance to their stores. Show as much work as possible.

-West to East pass

-East to West pass

-North to South pass

-South to North pass

-Coordinates of Recommended Location

Reference no: EM132813491

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