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Consider the following LP problem:
min x1 +3x2 +x3 -x4
s.t. x1 +x2 +x3 +x4 ≥ 0
x1 +x2 -x3 -x4 ≥ 1
x2, x3 ≥ 0 x1, x4 ≤ 0.
1. Unique primal-dual solutions.
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