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...Lecture linear programming artificial variable technique big m method computational procedure of charne s penalty step express the problem in standard form add non negative to left side each equations corresponding constraints type or when variables are added it causes violation this difficulty is removed by introducing a condition which ensures that will be zero final solution provided exists on other hand if does not have at least one appear with positive value achieved assigning very large price per unit these objective function such designated for maximization problems minimizing where last use starting and proceed usual simplex routine until optimal obtained worked examples example max z x subject slpp c j basic min ratio b k since all feasible therefore...