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A company needs to locate three departments (X, Y, and Z) in the three areas (I, II, and III) of a new facility. They want to minimize interdepartmental transportation costs, which are expected to be $.50 per load meter moved. An analyst has prepared the following flow and distance matrices:
Distances (meters) Flows (Loads per week)
From/To I II III From/To X Y Z
I - 10 20 X - 0 80
II - - 10 Y 30 - 150
III - Z 100 130 -
If the company were to locate departments X, Y, and Z in areas 1, 2, and 3, respectively, what would be the total distance (in meters) loads would be moved each week?
A. 3,100
B. 3,600
C. 6,200
D. 7,200
E. 8,200
Work must be shown Calculations please.
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