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An automobile manufacturer has assembly plants located in the Northwest, Midwest and Southeast. The cars are assembled and sent to major markets in the Southwest, East, West and Northeast. The appropriate distance matrix, availabilities and demands are given by the following table: Southwest East West Northeast availability 2,500,000 1,800,000 1,600,000 Northwest 1200 8500 1850 2250 Midwest 400 800 900 1400 Southeast 800 1200 1000 1100 demand 2,000,000 1,500,000 1,200,000 1,200,000 Assuming that the cost is proportional to distance. Formulate the problem to minimize the total cost of transportation.

An automobile manufacturer has assembly plants located in the Northwest, Midwest and Southeast. The cars are assembled and sent to major markets in the Southwest, East, West and Northeast. The appropriate distance matrix, availabilities and demands are given by the following table: Southwest East West Northeast availability 2,500,000 1,800,000 1,600,000 Northwest 1200 8500 1850 2250 Midwest 400 800 900 1400 Southeast 800 1200 1000 1100 demand 2,000,000 1,500,000 1,200,000 1,200,000 Assuming that the cost is proportional to distance. Formulate the problem to minimize the total cost of transportation.

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
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An automobile manufacturer has assembly plants located in the Northwest, Midwest and Southeast. The cars are assembled and sent to major markets in the Southwest, East, West and Northeast. The appropriate distance matrix, availabilities and demands are given by the following table: Southwest East West Northeast availability 2,500,000 1,800,000 1,600,000 Northwest 1200 8500 1850 2250 Midwest 400 800 900 1400 Southeast 800 1200 1000 1100 demand 2,000,000 1,500,000 1,200,000 1,200,000 Assuming that the cost is proportional to distance. Formulate the problem to minimize the total cost of transportation. b) Can the problem from part (a) be solved using the simplex method? Explain your answer.
Transcribed Image Text:An automobile manufacturer has assembly plants located in the Northwest, Midwest and Southeast. The cars are assembled and sent to major markets in the Southwest, East, West and Northeast. The appropriate distance matrix, availabilities and demands are given by the following table: Southwest East West Northeast availability 2,500,000 1,800,000 1,600,000 Northwest 1200 8500 1850 2250 Midwest 400 800 900 1400 Southeast 800 1200 1000 1100 demand 2,000,000 1,500,000 1,200,000 1,200,000 Assuming that the cost is proportional to distance. Formulate the problem to minimize the total cost of transportation. b) Can the problem from part (a) be solved using the simplex method? Explain your answer.
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