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Optimum over an unbounded region

Optimising

Concept 10 of 13 in Linear Programming

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Maximise Z=x+yZ = x + y over x+y≥3x + y \ge 3, x,y≥0x, y \ge 0. The corners (3,0)(3, 0) and (0,3)(0, 3) both give Z=3Z = 3. Is 33 the maximum?