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Geometric interpretation. The set of points in IRn at which any single constraint holds with equality is a hyperplane in IRn. Thus each constraint is satisfied by the points of a closed half-space of IRn, and the set of feasible solutions is the intersection of all these half-spaces, a convex polyhedron P.

refer http://www.ens-lyon.fr/DI/wp-content/uploads/2011/10/introduction-lp-duality1.pdf

file:///C:/Users/admin1/Downloads/9783540401384-c2.pdf

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