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Determine the minimum cost for distribution of goods using North-West Corner, Minimum Cell Cost and Vogel Approximation methods, Min Z = 16x11 + 13x12

Determine the minimum cost for distribution of goods using North-West Corner, Minimum Cell Cost and Vogel Approximation methods, Min Z = 16x11 + 13x12 + 22x13 + 17x14 + 14x21 + 13x22 + 19x23 + 15x24 +19x31 +20x32 +23x33 + 24x34 subject to: X11 + x12 + X13 = 50 X21 + X22 + x23 = 60 X31 + x32 + x33 = 50 Xy 20 where X11 + x21 + X31 = 50 X12 + X22 + x32 = 70 X13 + x23 + x33 = 30 X14 + X24 + X34 = 60 i = 1,2,3 j=1,2,3,4 (15 marks)

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