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Bounded and unbounded solutions

General · Mathematics

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Q: Max Z = x+y with x ≥ 0, y ≥ 0 only. Bounded? Optimal? Feasible: entire first quadrant - UNBOUNDED! Z = x+y: go to (1000,1000): Z = 2000; (10⁶,10⁶): 2×10⁶... NO MAXIMUM - unbounded above! Min: Z = 0 at (0,0) - minimum EXISTS (bounded below)!

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