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Q60Section B (Part B)60 of 120

Linear programming — optimum over a bounded feasible region

Consider the following linear programming problem: Maximize 3x1+4x23x_1+4x_2 subject to

3x1+2x2≤12,3x1+5x2≤15,2x1−x2≥0,x2≤2,x1,x2≥0.3x_1+2x_2\le12,\quad 3x_1+5x_2\le15,\quad 2x_1-x_2\ge0,\quad x_2\le2,\quad x_1,x_2\ge0 .

Which of the following values is the optimum value of the objective function in the feasible region?

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