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Consider the problem to minimizexep f(x), where P is a non-empty polyhedron. a) Assume that f is a concave function and that the problem has

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Consider the problem to minimizexep f(x), where P is a non-empty polyhedron. a) Assume that f is a concave function and that the problem has an optimal solution. Does the set of optimal solutions contain an extreme point of P? Prove or provide a counter example. b) Assume that f is a convex function. Does the set of optimal solutions always contain an extreme point of P? Prove or provide a counter example

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