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
icon
Related questions
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.
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.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Numerical Calculations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY