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Cars are shipped from three distribution centres to five dealers. The shipping cost is based on the mileage between the sources and the destinations and is independent of whether the truck makes the trip with partial or full loads. Table Q1 summarizes the mileage between the distribution centres and the dealers together with the monthly supply and demand figures given in number of cars. A full truckload includes 18 cars. The transportation cost per truck mile is $25. Table Q1: The mileage between distribution centres Dealer Supply 5 1 2 3 4 1 100 150 140 35 400 Centre 2 50 70 60 65 80 200 40 100 150 130 150 Demand 100 200 150 160 140 (a) Formulate the associated transportation model. (b) Determine the optimal shipping schedule.

Cars are shipped from three distribution centres to five dealers. The shipping cost is based on the mileage between the sources and the destinations and is independent of whether the truck makes the trip with partial or full loads. Table Q1 summarizes the mileage between the distribution centres and the dealers together with the monthly supply and demand figures given in number of cars. A full truckload includes 18 cars. The transportation cost per truck mile is $25. Table Q1: The mileage between distribution centres Dealer Supply 5 1 2 3 4 1 100 150 140 35 400 Centre 2 50 70 60 65 80 200 40 100 150 130 150 Demand 100 200 150 160 140 (a) Formulate the associated transportation model. (b) Determine the optimal shipping schedule.

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Q1 Cars are shipped from three distribution centres to five dealers. The shipping cost is based on the mileage between the sources and the destinations and is independent of whether the truck makes the trip with partial or full loads. Table Q1 summarizes the mileage between the distribution centres and the dealers together with the monthly supply and demand figures given in number of cars. A full truckload includes 18 cars. The transportation cost per truck mile is $25. Table Q1: The mileage between distribution centres Dealer Supply 1 2 3 4 1 100 150 200 140 35 400 Centre 2 50 70 60 65 80 200 3 40 100 150 130 150 Demand 100 200 150 160 140 (a) Formulate the associated transportation model. (b) Determine the optimal shipping schedule.
Transcribed Image Text:Q1 Cars are shipped from three distribution centres to five dealers. The shipping cost is based on the mileage between the sources and the destinations and is independent of whether the truck makes the trip with partial or full loads. Table Q1 summarizes the mileage between the distribution centres and the dealers together with the monthly supply and demand figures given in number of cars. A full truckload includes 18 cars. The transportation cost per truck mile is $25. Table Q1: The mileage between distribution centres Dealer Supply 1 2 3 4 1 100 150 200 140 35 400 Centre 2 50 70 60 65 80 200 3 40 100 150 130 150 Demand 100 200 150 160 140 (a) Formulate the associated transportation model. (b) Determine the optimal shipping schedule.
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