A linear programming problem has two constraints 2X + 4Y ? 100 and 1X + 8Y ? 100, plus nonnegativity constraints on X and Y. Which of the following statements about its feasible region is TRUE?
A) There are four corner points including (50, 0 ) and (0, 12.5 ).
B) The two corner points are (0, 0 ) and (50, 12.5 ).
C) The graphical origin (0, 0 ) is in the feasible region.
D) The feasible region is triangular in shape, bounded by (50, 0 ), (33.3333, 8.3333 ), and (100, 0 )
E) The feasible region cannot be determined without knowing whether the problem is to be minimized or maximized.
D
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