Question: Linear Optimization Problem 4. For each sentence, if it is true, please explain; if it is false, please provide a counterexample. 1) If there is

Linear Optimization Problem 4. For each sentence, Linear Optimization Problem

4. For each sentence, if it is true, please explain; if it is false, please provide a counterexample. 1) If there is a vector y=0 such that Ay=0, then the polyhedron P={xRn:Axb}= does not have an extreme point. 2) Every nonzero polyhedral cone is the convex hull of its extreme rays. 4) Let ARmn be a fixed matrix. The set of all bRm for which the constraints Axb are feasible (i.e., {bRm:x,Axb} is convex

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