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There are 2 Thoughts essential to duality idea. One is The truth that (to the symmetric dual) the dual of the dual linear application is the original primal linear software. On top of that, just about every feasible Answer for your linear program offers a bound over the optimal value of the target function of its twin.

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The weak duality theorem states that the objective perform price of the dual at any possible Answer is usually greater than or equal to the target operate value of the primal at any feasible solution. The potent duality theorem states that Should the primal has an ideal Alternative, x*, then the twin also has an ideal Remedy, y*, and cTx*=bTy*.

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