Question: (a) Formulate the following linear programming problems into its dual form: (i) Minimize Z = 7x, + 3x, +8x, Subject to 8x2 + 2x, +

(a) Formulate the following linear programming problems into its dual form: (i) Minimize Z = 7x, + 3x, +8x, Subject to 8x2 + 2x, + x, 23 3x, +6x2 + 4x3 24 4.x, + x2 + 5xz 21 x; + 5x2 + 2x, 27 x7, X2, X3 20 (ii) Maximize Z = 2.x, + 5x2 + 3x3 Subject to 2.x, + 4.x, - x; 58 -2x, - 2x2 + 3x3 27 X: + 3x, - 5x3 2-2 4.x, + xy + 3x3 4 XX.X20
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