Two Godowns A and B have grain capacity of 100tons and 50 tons respectively. They supply to 3 ration shops D, E and F whose requirements are 60, 50 and 40 tons respectively. The cost of transportation per ton from the godowns to the shops are given in the table below. From/To D E F Supply 6 3 2.5100 A B 4 2 3 50 Demand 60 5040 Let x tons and y tons of grain be transported from godown A to shop D and E respectively.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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 Write the above transportation problem as a LPP and Solve the LPP  using graphical method

Two Godowns A and B have grain capacity of 100tons and 50 tons
respectively. They supply to 3 ration shops D, E and F whose
requirements are 60, 50 and 40 tons respectively. The cost of
transportation per ton from the godowns to the shops are given in
the table below.
From/To D E F Supply
A
6 3 2.5 100
4 2 3 50
Demand 60 5040
Let x tons and y tons of grain be transported from godown A to
shop D and E respectively.
B.
Transcribed Image Text:Two Godowns A and B have grain capacity of 100tons and 50 tons respectively. They supply to 3 ration shops D, E and F whose requirements are 60, 50 and 40 tons respectively. The cost of transportation per ton from the godowns to the shops are given in the table below. From/To D E F Supply A 6 3 2.5 100 4 2 3 50 Demand 60 5040 Let x tons and y tons of grain be transported from godown A to shop D and E respectively. B.
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