Question: 4. Let f R R be a convex function and X is a polytope. Prove that maxxx {f(x)} maxxext(x) {f(x)}, where ext(X) denotes the

4. Let f R R be a convex function and X is

4. Let f R R be a convex function and X is a polytope. Prove that maxxx {f(x)} maxxext(x) {f(x)}, where ext(X) denotes the set of all the extreme points of X. ==

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