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Consider the problem: Minimize cx subject to Ax=b x>=0 Let x* be the unique optimal extreme point. Show that the second best extreme point

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Consider the problem: Minimize cx subject to Ax=b x>=0 Let x* be the unique optimal extreme point. Show that the second best extreme point must be adjacent to x*. What happens if the uniqueness assumption is relaxed? Kindly explain in detail. This is a problem of special simplex implementations and optimization conditions.

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