Determine the assignment of customer zones to distribution centers that will minimize cost. Write the complete Linear Programming formulation in your answer page.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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The U.S. Cable Company uses a distribution system with five distribution centers and eight
customer zones. Each customer zone is assigned a sole source supplier; each customer zone
receives all of its cable products from the same distribution center. In an effort to balance
demand and workload at the distribution centers, the company's vice president of logistics
specified that distribution centers may not be assigned more than three customer zones. The
following table shows the five distribution centers and cost of supplying each customer zone
(in thousands of dollars):
Customer Zones
Distribution
Centers
Los
Kansas
City
Angeles Chicago Columbus Atlanta Newark
Denver
Dallas
Plano
Nashville
Flagstaff
Springfield
Boulder
70
75
15
22
19
37
53
58
82
21
34
40
27
40
13
26
32
47
98
38
78
90
111
29
60
45
23
40
8.
29
39
75
82
86
36
25
32
11
45
37
Determine the assignment of customer zones to distribution centers that will minimize cost.
Write the complete Linear Programming formulation in your answer page.
Transcribed Image Text:The U.S. Cable Company uses a distribution system with five distribution centers and eight customer zones. Each customer zone is assigned a sole source supplier; each customer zone receives all of its cable products from the same distribution center. In an effort to balance demand and workload at the distribution centers, the company's vice president of logistics specified that distribution centers may not be assigned more than three customer zones. The following table shows the five distribution centers and cost of supplying each customer zone (in thousands of dollars): Customer Zones Distribution Centers Los Kansas City Angeles Chicago Columbus Atlanta Newark Denver Dallas Plano Nashville Flagstaff Springfield Boulder 70 75 15 22 19 37 53 58 82 21 34 40 27 40 13 26 32 47 98 38 78 90 111 29 60 45 23 40 8. 29 39 75 82 86 36 25 32 11 45 37 Determine the assignment of customer zones to distribution centers that will minimize cost. Write the complete Linear Programming formulation in your answer page.
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