he Child-fair Company has three plants producing child push chairs that are to be shipped to four distribution centers. Plants 1, 2, and 3 produce 12, 17, and 11 shipments per month, respectively. Each distribution center needs to receive 10 shipments per month. The distance from each plant to the respective distribution centers is given below. How much should be shipped from each plant to each of the distribution centers to minimize the total shipping cost, where the freight cost for each shipment is $100 plus 50 cents/mile? Formulate this case as a transpo

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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The Child-fair Company has three plants producing child push chairs that are to be shipped to four distribution centers. Plants 1, 2, and 3 produce 12, 17, and 11 shipments per month, respectively. Each distribution center needs to receive 10 shipments per month. The distance from each plant to the respective distribution centers is given below. How much should be shipped from each plant to each of the distribution centers to minimize the total shipping cost, where the freight cost for each shipment is $100 plus 50 cents/mile? Formulate this case as a transportation problem (a) algebraically, and (b) on a spreadsheet, then (c) use Solver to obtain the optimal solutions
The Child-fair Company has three plants producing child push chairs that are to be shipped to four distribution centers. Plants 1,
2, and 3 produce 12, 17, and 11 shipments per month, respectively. Each distribution center needs to receive 10 shipments per
month. The distance from each plant to the respective distribution centers is given below.
Centers →
Plants↓↓
Distance to Centers (Miles)
2
1
3
4
1
800
1300 400
2
1100
1400 600
3
600
1200 800
How much should be shipped from each plant to each of the distribution centers to minimize the total shipping cost, where the
freight cost for each shipment is $100 plus 50 cents/mile? Formulate this case as a transportation problem (a) algebraically, and
(b) on a spreadsheet, then (c) use Solver to obtain the optimal solutions and (d) comment on the results using your own words.
700
1000
900
Transcribed Image Text:The Child-fair Company has three plants producing child push chairs that are to be shipped to four distribution centers. Plants 1, 2, and 3 produce 12, 17, and 11 shipments per month, respectively. Each distribution center needs to receive 10 shipments per month. The distance from each plant to the respective distribution centers is given below. Centers → Plants↓↓ Distance to Centers (Miles) 2 1 3 4 1 800 1300 400 2 1100 1400 600 3 600 1200 800 How much should be shipped from each plant to each of the distribution centers to minimize the total shipping cost, where the freight cost for each shipment is $100 plus 50 cents/mile? Formulate this case as a transportation problem (a) algebraically, and (b) on a spreadsheet, then (c) use Solver to obtain the optimal solutions and (d) comment on the results using your own words. 700 1000 900
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