a) Formulate a balanced transportation problem that can be used to minimize Gursoy Cars' transportation costs. b) Find a basic feasible solution to the problem.

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 34P
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5. Gursoy Cars produces cars in Atlanta (5,000 cars), Boston (5,500 cars) and
Chicago (4,000 cars). These cars are shipped to Memphis, Milwaukee, and N.Y.
Demand is given as 6,000 in Memphis, 4,000 in Milwaukee and 4,000 in Chicago.
The transportation costs for shipping a car from city i to city j are given below.
From
Atlanta
Boston
Chicago
Memphis
371
1,296
530
To
Milwaukee
761
1,050
87
N.Y.
861
206
802
a) Formulate a balanced transportation problem that can be used to minimize
Gursoy Cars' transportation costs.
b) Find a basic feasible solution to the problem.
Transcribed Image Text:5. Gursoy Cars produces cars in Atlanta (5,000 cars), Boston (5,500 cars) and Chicago (4,000 cars). These cars are shipped to Memphis, Milwaukee, and N.Y. Demand is given as 6,000 in Memphis, 4,000 in Milwaukee and 4,000 in Chicago. The transportation costs for shipping a car from city i to city j are given below. From Atlanta Boston Chicago Memphis 371 1,296 530 To Milwaukee 761 1,050 87 N.Y. 861 206 802 a) Formulate a balanced transportation problem that can be used to minimize Gursoy Cars' transportation costs. b) Find a basic feasible solution to the problem.
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