(a) State the dual problem. (b) Solve both the primal and the dual problem with any method that w...

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9. Minimize z subject to 4x1 + x2 + x3 + 3x4 2x, + x2 + 3x3 + x4 2 12 3xi + 2x2 + 4x3 2x1-x2 + 2x3 + 3x4-8 3x1 + 4x2 + 3x3 х,

(a) State the dual problem.

(b) Solve both the primal and the dual problem with any method that works.
(c) Check that your optimal solutions are correct by verifying they are feasible and the primal and dual objective functions give the same value.

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