Consider the following constraints from a two-variable linear program

1. X ? 0
2. Y ? 0
3 . X + Y ? 50

If the optimal corner point lies at the intersection of constraints 2. and 3 ., what is the optimal solution (X, Y)?

What will be an ideal response?


Y = 0, so X + 0 = 50, or X = 50. Thus the solution is (50, 0).

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