2) Solve the following linear programming problems by the simplex method. Hint: Find the pivot element. (3x1 + x2 < 60 a) Maximize: P = x1 + 2x2; Subject to {x1 + 2x2 < 50 (x, > 0, x2 > 0 (2x1 +5x2 < 200 b) Maximize: P = 50x, + 60x2; Subject to 2x1 + 2x2 < 100 X1 2 0, x2 > 0

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