Question: Question 4 (a) In a rectangular city, a company with 15 outlets to which various turnovers and products are transported at different frequencies. The coordinates

Question 4 (a) In a rectangular city, a company

Question 4 (a) In a rectangular city, a company with 15 outlets to which various turnovers and products are transported at different frequencies. The coordinates and the number of transportation within a month are presented in the table below. Determine the best position to locate the distribution center that would be used to supply all the 15 outlets. x y Transp. x y Transp. x V Transp. 12.5 5.5 8 29.0 25.0 3 32.5 25.0 1 26.5 9.5 6 30.0 25.0 5 33.0 15.0 9 19.5 14.0 5 29.5 24.5 1 32.5 24.5 1 18.5 24.0 7 32.0 14.5 3 16.0 36.5 5 28.5 26.5 1 22.0 25.0 1 18.0 37.5 4 (b) Assuming a Manhattan-like city, determine the distances of the cities given in the table below Point Ortankoy(1) Tasinkov (2) Hamitkov (3) Girne Karpas (4) Metropol (5) X 0 10 8 20 6 1 9 7 18 25 (c) Suppose a computer solution suggests optimal movement for the above traveling salesman problem described in 4(b) as Cia = 1, C2a = 1. Cas = 1, C45 = 1.051 = 1, (1) List out the tour with the names of the city (ii) What is the total distance to be covered? C represents "City")

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