Location Problem with Two Sites. Oliveira Office Supply has a large retail system consisting of twelve stores spread around the country, often in direct competition Kilroy. However, managers at Oliveira have decided to use two national distribution centers. When Oliveira's stores are mapped on the same grid as Kilroy's, the st locations occur at the coordinates listed in the following table. As in the previous exercise, there are also data to indicate how many trips are made annually to each store: Coordinates Trips Site (k) XK Yk nk 1 2 96 21 2 5 41 12 3 20 10 20 4 44 48 15 5 60 58 27 6 100 4 8 7 8 9 10 122 94 21 138 80 16 150 40 10 170 18 18 182 2 25 190 56 14 a. Find the optimal location for Oliveira's two distribution centers in this expanded version of the problem. 11 12

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
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Chapter6: Optimization Models With Integer Variables
Section: Chapter Questions
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Location Problem with Two Sites. Oliveira Office Supply has a large retail system consisting of twelve stores spread around the country, often in direct competition
Kilroy. However, managers at Oliveira have decided to use two national distribution centers. When Oliveira's stores are mapped on the same grid as Kilroy's, the st
locations occur at the coordinates listed in the following table. As in the previous exercise, there are also data to indicate how many trips are made annually to each
store:
Coordinates Trips
Site (k) Хk Ук пк
2 96 21
5 41 12
20 10 20
44 48 15
60 58 27
100 4 8
122 94 21
138 80 16
1
2
3
4
5
6
7
8
9
10
11
12
150 40 10
170 18 18
182 2 25
190 56 14
a. Find the optimal location for Oliveira's two distribution centers in this expanded version of the problem.
Transcribed Image Text:Location Problem with Two Sites. Oliveira Office Supply has a large retail system consisting of twelve stores spread around the country, often in direct competition Kilroy. However, managers at Oliveira have decided to use two national distribution centers. When Oliveira's stores are mapped on the same grid as Kilroy's, the st locations occur at the coordinates listed in the following table. As in the previous exercise, there are also data to indicate how many trips are made annually to each store: Coordinates Trips Site (k) Хk Ук пк 2 96 21 5 41 12 20 10 20 44 48 15 60 58 27 100 4 8 122 94 21 138 80 16 1 2 3 4 5 6 7 8 9 10 11 12 150 40 10 170 18 18 182 2 25 190 56 14 a. Find the optimal location for Oliveira's two distribution centers in this expanded version of the problem.
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