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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.
Consider the following LP problem: min x 1 +3 x2 +x 3 -x 4 s.t. x 1 +x 2 +x 3 +x 4 ≥ 0 x 1 +x 2 -x 3 -x 4 ≥ 1 x 2 , x 3 ≥ 0 x 1 , x 4 ≤ 0. 1. Unique pr
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