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. To Milwaukee 761 1,050 87 From Memphis 371 N.Y. 861 Atlanta Boston 1,296 530 206 802 Chicago a) Formulate a balanced transportation problem that can be used to minimize Cars' transportation costs. b) Find a basic feasible solution to the problem.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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.
To
From
Atlanta
Boston
Memphis
371
Milwaukee
761
N.Y.
861
206
1,296
530
1,050
87
Chicago
802
a) Formulate a balanced transportation problem that can be used to minimize
Cars' transportation costs.
b) Find a basic feasible solution to the problem.
Transcribed Image Text: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. To From Atlanta Boston Memphis 371 Milwaukee 761 N.Y. 861 206 1,296 530 1,050 87 Chicago 802 a) Formulate a balanced transportation problem that can be used to minimize Cars' transportation costs. b) Find a basic feasible solution to the problem.
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