Locating Warehouses. Southeastern Foods has hired you to analyze their distribution-system design. The company has 11 distribution centers, with monthly volumes as listed below. Seven of these sites can support warehouses, in terms of the infrastructure available, and are designated by (W).   The monthly fixed cost for operating one of these warehouses is estimated at $3,600, although there is no capacity limit in their design. Southeastern could build warehouses at any of the designated locations, but its criterion is to minimize the total of fixed operating costs and variable shipment costs. The table below shows the cost per carton of shipping from any potential warehouse location to any distribution center.   Using the evolutionary solver, find the minimum monthly cost for Southeastern Foods.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Locating Warehouses. Southeastern Foods has hired you to analyze their distribution-system design. The company has 11 distribution centers, with monthly volumes as listed below. Seven of these sites can support warehouses, in terms of the infrastructure available, and are designated by (W).

 

The monthly fixed cost for operating one of these warehouses is estimated at $3,600, although there is no capacity limit in their design. Southeastern could build warehouses at any of the designated locations, but its criterion is to minimize the total of fixed operating costs and variable shipment costs. The table below shows the cost per carton of shipping from any potential warehouse location to any distribution center.

 

Using the evolutionary solver, find the minimum monthly cost for Southeastern Foods.

From City
Atlanta
Birmingham 0.15
Columbia
0.21
Louisville
0.42 0.36
Memphis
0.38
0.26
Nashville
0.25
0.19
Orlando
0.43
0.55
Atl
Bir
0.00 0.15
0.00
0.36
Col
0.21
0.36
0.00
0.50
0.62
0.44
0.44
Jac
0.40
0.25
0.60
0.59
0.21
0.41
0.70
Jvl
0.31
0.46
0.30
0.73
0.69
0.56
0.14
To City
Lvl
0.42
0.36
0.50
0.00
0.38
0.17
0.86
Mem
0.38
0.26
0.62
0.38
0.00
0.21
0.78
Mia
0.66
0.75
0.64
1.09
1.00
0.91
0.23
Nash
0.25
0.19
0.44
0.17
0.21
0.00
0.69
NewO
0.48
0.35
0.69
0.70
0.41
0.53
0.65
Orl
0.43
0.55
0.44
0.86
0.78
0.69
0.00
Transcribed Image Text:From City Atlanta Birmingham 0.15 Columbia 0.21 Louisville 0.42 0.36 Memphis 0.38 0.26 Nashville 0.25 0.19 Orlando 0.43 0.55 Atl Bir 0.00 0.15 0.00 0.36 Col 0.21 0.36 0.00 0.50 0.62 0.44 0.44 Jac 0.40 0.25 0.60 0.59 0.21 0.41 0.70 Jvl 0.31 0.46 0.30 0.73 0.69 0.56 0.14 To City Lvl 0.42 0.36 0.50 0.00 0.38 0.17 0.86 Mem 0.38 0.26 0.62 0.38 0.00 0.21 0.78 Mia 0.66 0.75 0.64 1.09 1.00 0.91 0.23 Nash 0.25 0.19 0.44 0.17 0.21 0.00 0.69 NewO 0.48 0.35 0.69 0.70 0.41 0.53 0.65 Orl 0.43 0.55 0.44 0.86 0.78 0.69 0.00
Center
Atlanta (W)
Birmingham (W)
Columbia (W)
Jackson
Jacksonville
Louisville (W)
Volume
5,000
3,000
1,400
2,200
8,800
3,000
Center
Memphis (W)
Miami
Nashville (W)
New Orleans
Orlando (W)
Volume
7,800
4,400
6,800
5,800
2,200
Transcribed Image Text:Center Atlanta (W) Birmingham (W) Columbia (W) Jackson Jacksonville Louisville (W) Volume 5,000 3,000 1,400 2,200 8,800 3,000 Center Memphis (W) Miami Nashville (W) New Orleans Orlando (W) Volume 7,800 4,400 6,800 5,800 2,200
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