Computers and Technology, 13.12.2019 22:31 sandlobster6274
Suppose that an optimal solution to the problem: minimize ex subject to ax > b, x > 0, exists. prove the following complementarity theorem. a. a variable is zero for all primal optimal solutions if and only if its complementary dual variable is positive for some dual optimal solution. b. a variable is unbounded in the primal feasible set if and only if its complementary dual variable is bounded in the dual feasible set. c. a variable is unbounded in the primal optimal set if and only if its complementary dual variable is zero for all dual feasible solutions. d. a variable is positive for some primal feasible solution if and only if its complementary dual variable is bounded in the dual optimal set.
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Suppose that an optimal solution to the problem: minimize ex subject to ax > b, x > 0, exis...
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