How to select the non-optimal solution, Basic Statistics

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How to select the non-optimal solution

How to select the non-optimal solution.

Consider the subsequent constraints from a linear programming problem.

2X + Y ≤ 200

X + 2Y ≤ 200

X,Y ≥ 0

IF these are the merely constraints which of the following points (X,Y) can't be the optimal solution?

(0,0)
(0,100)
(65,65)
(100,0)
(66.67,66.67)

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