9.6. You have been asked to help locate a catering service in the central business dis- trict...

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9.6. You have been asked to help locate a catering service in the central business dis- trict of a city. The locations of potential customers on an xy coordinate grid are P =(4, 4), P2 (12, 4), P3 = (2, 7), Pa = (11, 11), and Ps (7, 14). The ex- pected demand is weighted as w = 4, w2 = 3, w3=2, w4 = 4, and WS = 1.

a. Using the metropolitan metric, recommend a location for the catering service that will minimize the total weighted distance traveled to serve the customers.

b. Using the euclidian metric and the result found in part a as an initial solution, find the optimum location assuming vector travel.

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