Question: (a) Is it true that every linear programming problem has an optimal solution? Justify your answer: either prove it or give a counterexample. (b) Is

(a) Is it true that every linear programming problem has an optimal solution? Justify your answer: either prove it or give a counterexample. (b) Is it true that if the feasible region of a linear programming problemis unbounded, then the linear programming problem does not have an optimalsolution? Justify your answer: either prove it or give a counterexample

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