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A linear programming problem has two constraints X + 2Y <= 50 and X + 8Y <= 100, plus non-negativity constraints on X and Y. Which of the following statements about the feasible region is TRUE?

There are four corner points including (50, 0) and (0, 12.5).

The two corner points are (0, 0) and (10, 12.5).

The graphical origin (0, 0) is not in the feasible region.

The feasible region includes all points that satisfy X + 2Y <= 50.

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