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The weak duality theorem states that the target functionality worth of the dual at any feasible Remedy is usually larger than or equal to the objective purpose price of the primal at any feasible Resolution. The solid duality theorem states that When the primal has an ideal Remedy, x*, then the dual also has an best solution, y*, and cTx*=bTy*.

Divisibility - the decision variables is often divided into non-integer values, taking up fractional values. Integer programming methods can be utilized In case the divisibility assumption would not hold.

The cost of the trousers is fixed at $50 and also the jacket, $40. What's the volume of trousers and jackets that the producer have to give for the stores making sure that these things attain a optimum sale?

Linear programming Simple Principles and principles A Linear programming challenge in standard formulation is an issue in the form

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, which gained’t seem anyplace else while in the remodeled linear system, represents the distinction between the right-hand side along with the left-hand side on the inequality.

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