A company wants to build a new distribution center that will serve six cities. T

Question

A company wants to build a new distribution center that will serve six cities. The information about the demand and location are as follows: City A, demand 5 ton/month, coordinates (52, 76) City B, demand 53 ton/month, coordinates (49, 22) City C, demand-38 ton/month, coordinates (33,24) City D, demand 22 ton/month, coordinates- (19, 45) City E, demand 33 ton/month, coordinates (53, 60) City F, demand 16 ton/month, coordinates (34, 67) The company is considering location (40, 36) for the new distribution center. Calculate the load-distance score for this location using rectilinear distance. The load-distance score is

Explanation / Answer

Distance = sqrt((X-X1)^2 + (Y- Y1)^2)

Load distance score = Sum of (Distance*Demand)

Example:

Distance of City A to new distribution is = sqrt((52-40)^2 + (76-36)^2) = 41.76

Similarly for others as:

Load distance score = 41.76*5 + 16.64*53 + 13.89*38 + 22.85*22 + 27.29*33 + 31.58*16 = 3527.39

X coordinate X1 Y coordinate Y1 Distance A 52 40 76 36        41.76 B 49 40 22 36        16.64 C 33 40 24 36        13.89 D 19 40 45 36        22.85 E 53 40 60 36        27.29 F 34 40 67 36        31.58

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