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 IIIA - 10 30 I - 60 110B - 50 II 90 - 80C - 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? (Identify assignments and total cost)

Answered: A company needs to locate three…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter3: Matrices

Section3.1: Matrix Operations

Problem 19EQ: A factory manufactures three products (doohickies, gizmos, and widgets) and ships them to two...

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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? (Identify assignments and total cost)

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