Consider the following cost matrix to solve a warehouse location problem to minimize the total setup and cransportation costs. Warehouse sites Cust. Loc. A B 1 100 1000 200 2 1000 100 200 3 500 500 500 Fixed Cost 300 300 X What is the largest integer value for X (fixed cost of cite C) for which the greedy algorithm we have seen in the class gives a solution that is not optimal, regardless of how one break the ties?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section5.5: Shortest Path Models
Problem 32P
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1. Consider the following cost matrix to solve a warehouse location problem to minimize the total setup and
transportation costs.
Warehouse sites
Cust. Loc.
А
B C
1
100
1000
200
2
1000
100
200
3
500
500
500
Fixed Cost
300
300
X
What is the largest integer value for X (fixed cost of cite C) for which the greedy algorithm we have
seen in the class gives a solution that is not optimal, regardless of how one break the ties?
Transcribed Image Text:1. Consider the following cost matrix to solve a warehouse location problem to minimize the total setup and transportation costs. Warehouse sites Cust. Loc. А B C 1 100 1000 200 2 1000 100 200 3 500 500 500 Fixed Cost 300 300 X What is the largest integer value for X (fixed cost of cite C) for which the greedy algorithm we have seen in the class gives a solution that is not optimal, regardless of how one break the ties?
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