Question: Q1. (30 pts.) Solve the following linear programming problem: minimize Z subject to 3xu + 12x12 + 8x13 + 10x21 + 5x22 + 6xyz +

Q1. (30 pts.) Solve the following linearQ1. (30 pts.) Solve the following linear

Q1. (30 pts.) Solve the following linear programming problem: minimize Z subject to 3xu + 12x12 + 8x13 + 10x21 + 5x22 + 6xyz + 6x31 + 7xz2 + 10x33 911 X12 + x3 90 821 + x22 + 123 = 30 X3] + 432 + 132 - 100 X11 + 121 + Nu S 70 x12 + 12 + 12 S 110 + 123 V: + E S 80 Q1. (30 pts.) Solve the following linear programming problem: minimize Z = 3x11 + 12x12 + 8x19 + 10x21 + 5192 + 6x23 + 603 + 7.832 + 10x23 subject to xu + .x2 + x3 90 X21 + 2 + .12: 30 X + 12 + tz: 100 211 + 12 + 13 S 70 112 + x2 + x32 $ 110 113 + xy + 27 80

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