Question: The linear program Max 3X1 + 2X2 is solved subject to the constraints i) X1 + X2 10 ii) 3X1 + X2 24 iii) X1

The linear program Max 3X1 + 2X2 is solved subject to the constraints i) X1 + X2 10 ii) 3X1 + X2 24 iii) X1 + 2X2 16 and iv) non-negativity for both X1 and X2. Which of the following statements is true?

The optimal solution occurs at the point (6, 6).

The optimal solution occurs at (8, 0) and the optimal value is 24.

The optimal solution value is 41.

The feasible region has five corner points.

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