Solve the following linear programming problem: minimize Z = 3x11 + 12x12 + 8x13 + 10x21 +

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Solve the following linear programming problem:

minimize Z = 3x11 + 12x12 + 8x13 + 10x21 + 5x22 + 6x23 + 6x31 + 7x32 + 10x33 subject to x11 + x12 + x13 = 90 x21 + x22 + x23 = 30 x31 + x32 + x33 = 100 x11 + x21 + x31 … 70 x12 + x22 + x32 … 110 x13 + x23 + x33 … 80 xij Ú 0

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