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
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.
Chapter6: Optimization Models With Integer Variables
Section6.5: Set-covering And Location-assignment Models
Problem 30P
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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
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