Weak/Strong Duality, if a primal problem is infeasible, under what precise geometric condition will its dual be unbounded versus infeasible?
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By Weak and Strong Duality, when a primal problem is infeasible, its dual is unbounded if there exists a ray in the dual feasible region along which the dual objective improves without bound, and its dual is infeasible if no dual feasible point exists because both the primal and dual constraint spaces lack any consistent solutions.
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