given the transportation problem, assume that the demands at the 4 destinations are 5, 5, 7, and 8 units, respectively, and the supplies at the 4 sources are 7, 3, 7 and 8 units, respectively. C₁₁=7ㅤ   C₁₂=9ㅤ   C₁₃ = 1ㅤ   C₁₄ = 10 C₂₁= 22ㅤ   C₂₂ = 25ㅤ   C₂₃ = 16ㅤ   C₂₄ = 26 С₃₁ = 28ㅤ   C₃₂ = 32ㅤ   C₃₃ = 24ㅤ   Сз₄ = 32 C₄₁ = 12ㅤ   C₄₂ = 14ㅤ   C₄з = 6ㅤ   C₄₄ = 16 where m=4, n=4 what is the optimal solution using vogel's approximation method, least-cost method, and northwest-corner rule?

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 35P
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given the transportation problem, assume that the demands at the 4 destinations are 5, 5, 7, and 8 units, respectively, and the supplies at the 4 sources are 7, 3, 7 and 8 units, respectively.
C₁₁=7ㅤ   C₁₂=9ㅤ   C₁₃ = 1ㅤ   C₁₄ = 10

C₂₁= 22ㅤ   C₂₂ = 25ㅤ   C₂₃ = 16ㅤ   C₂₄ = 26

С₃₁ = 28ㅤ   C₃₂ = 32ㅤ   C₃₃ = 24ㅤ   Сз₄ = 32

C₄₁ = 12ㅤ   C₄₂ = 14ㅤ   C₄з = 6ㅤ   C₄₄ = 16
where m=4, n=4


what is the optimal solution using vogel's approximation method, least-cost method, and northwest-corner rule?

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