Use Excel to show formulas A company needs to locate three departments (I, II, and III) in the three areas (A, B, and C) of a new facility. They want to minimize interdepartmental transportation costs, which are expected to be $.30 per load per meter moved. An analyst has prepared the following distances and flow matrices: Distance (meters) Flows (loads per week) From/To A B C From/To I II III A - 10 30 I - 60 110 B - 50 II 90 - 80 C - III 80 90 - In what areas, I, II, and III, should departments A, B, and C be located that minimize the total cost of moving loads over the distance?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 21T
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Use Excel to show formulas 

A company needs to locate three departments (I, II, and III) in the three areas (A, B, and C) of a new facility. They want to minimize interdepartmental transportation costs, which are expected to be $.30 per load per meter moved. An analyst has prepared the following distances and flow matrices:

Distance (meters)                                                 Flows (loads per week)

From/To                     A            B             C             From/To             I              II             III

A                    -              10          30                         I              -              60          110

B                                   -              50                         II             90          -              80

C                                                  -                             III           80          90          -

In what areas, I, II, and III, should departments A, B, and C be located that minimize the total cost of moving loads over the distance? 

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