Noble Amazon sells books online. Management is trying to determine the best sites for the company's warehouses. The five potential sites under consideration are listed in the first column of the following table. Most of the sales come from customers in the United States. The average weekly demand from each region of the country, the average shipping cost from each warehouse site to each region of the country, the fixed cost per week of each warehouse if it is operated, and the maximum capacity of each warehouse (if it is operated) are shown in the following table. (a) Formulate the above case algebraically and on a spreadsheet as a mixed BIP model (b) Solve the spreadsheet model to determine which warehouse sites Noble Amazon should operate and how books should be distributed from each warehouse to each region of the country to minimize total cost. (c) Comment on the final results using your own words.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section: Chapter Questions
Problem 100P
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Noble Amazon sells books online. Management is trying to determine the best sites for the company's warehouses. The five potential sites under consideration are listed in the first column of the following table. Most of the sales come from customers in the United States. The average weekly demand from each region of the country, the average shipping cost from each warehouse site to each region of the country, the fixed cost per week of each warehouse if it is operated, and the maximum capacity of each warehouse (if it is operated) are shown in the following table. (a) Formulate the above case algebraically and on a spreadsheet as a mixed BIP model (b) Solve the spreadsheet model to determine which warehouse sites Noble Amazon should operate and how books should be distributed from each warehouse to each region of the country to minimize total cost. (c) Comment on the final results using your own words.
Noble Amazon sells books online. Management is trying to determine the best sites for the company's warehouses. The five potential
sites under consideration are listed in the first column of the following table. Most of the sales come from customers in the United
States. The average weekly demand from each region of the country, the average shipping cost from each warehouse site to each region
of the country, the fixed cost per week of each warehouse if it is operated, and the maximum capacity of each warehouse (if it is
operated) are shown in the following table.
Warehouse Site
Spokane, WA
Reno, NV
Omaha, NE
Harrisburg, PA
Jacksonville, FL
Weekly Demand
Northwest
$2.40
$3.25
$4.05
$5.25
$6.95
8,000
Average Shipping Cost ($/book)
Southwest Midwest Southeast
$3.50
$4.80
$6.80
$2.30
$3.40
$5.25
$3.25
$2.85
$4.30
$6.05
$4.30
$3.20
$5.85
$4.80
$2.10
12,000
9,000
14,000
Fixed
Cost
(per
week)
Northeast
$5.75 $40,000
$6.00 $30,000
$4.75
$25,000
$2.75
$40,000
$3.50
$30,000
17,000
Warehouse Capacity
(books/week)
20,000
20,000
15,000
25,000
15,000
(a) Formulate the above case algebraically and on a spreadsheet as a mixed BIP model
(b) Solve the spreadsheet model to determine which warehouse sites Noble Amazon should operate and how books should
be distributed from each warehouse to each region of the country to minimize total cost.
(c) Comment on the final results using your own words.
Transcribed Image Text:Noble Amazon sells books online. Management is trying to determine the best sites for the company's warehouses. The five potential sites under consideration are listed in the first column of the following table. Most of the sales come from customers in the United States. The average weekly demand from each region of the country, the average shipping cost from each warehouse site to each region of the country, the fixed cost per week of each warehouse if it is operated, and the maximum capacity of each warehouse (if it is operated) are shown in the following table. Warehouse Site Spokane, WA Reno, NV Omaha, NE Harrisburg, PA Jacksonville, FL Weekly Demand Northwest $2.40 $3.25 $4.05 $5.25 $6.95 8,000 Average Shipping Cost ($/book) Southwest Midwest Southeast $3.50 $4.80 $6.80 $2.30 $3.40 $5.25 $3.25 $2.85 $4.30 $6.05 $4.30 $3.20 $5.85 $4.80 $2.10 12,000 9,000 14,000 Fixed Cost (per week) Northeast $5.75 $40,000 $6.00 $30,000 $4.75 $25,000 $2.75 $40,000 $3.50 $30,000 17,000 Warehouse Capacity (books/week) 20,000 20,000 15,000 25,000 15,000 (a) Formulate the above case algebraically and on a spreadsheet as a mixed BIP model (b) Solve the spreadsheet model to determine which warehouse sites Noble Amazon should operate and how books should be distributed from each warehouse to each region of the country to minimize total cost. (c) Comment on the final results using your own words.
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