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: 門LLEE 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 a) minimize the total cost of transportation. b) Assuming that the cost is proportional to distance. Formulate the problem to Can the problem from part (a) be solved using the simplex method? Explain Vour answer

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: 門LLEE 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 a) minimize the total cost of transportation. b) Assuming that the cost is proportional to distance. Formulate the problem to Can the problem from part (a) be solved using the simplex method? Explain Vour answer

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Numerical Calculations

In the mid-20th century, the availability and the growth in power of digital computers led to the increase in the mathematical model in the field of engineering and science. The analysis of these detailed models needs to be increased.

Question

Please give correct answers

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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