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.

Practical Management Science
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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.

Note:-

  • Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism.
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