Consider a balanced transportation problem with three sources S1, S2, S3 and four destinations D1, D2, D3, D4 for minimizing total cost. The cost matrix is as follows: D1D2D3D4SupplyS1262011α + 10S2127410α + λ + 10S381416115Demandα + 510λ + 5α + λ where α, λ > 0. If the total cost of the initial basic feasible solution obtained using the North-West Corner Rule is 290, then which of the following is correct?

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Mathematics · Linear Programming

Verified Solution4 OptionsUpdated: October 2026👁️1 View

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Correct answer

α2 + αλ = 150

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Answer 1

α2 + λ2 = 100

Answer 2

α2 + αλ = 150

Answer 3

The optimal cost of the transportation problem is 260

Answer 4

The optimal cost of the transportation problem is 290

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