Question: As discussed in lecture, Integer Linear Programming ( ILP ) is NP - complete. In this problem, we discuss attempts to approximate ILPs with Linear

As discussed in lecture, Integer Linear Programming (ILP) is NP-complete. In this problem, we discuss attempts to approximate ILPs with Linear Programs and the potential shortcomings of doing so.
Throughout this problem, you may use the fact that the ellipsoid algorithm finds an optimal vertex (and corresponding optimal value) of a linear program in polynomial time.

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