MTH 208 Lecture Notes - Lecture 9: Texas State Highway 16
7 May 2020
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Valve of xz b 2x 3 2 6 2 0 4 possiblecolumns1 pilots are or. 4 treat x4 as parameter with xz equivalent to increasing the value of from 0 to positive l 10 2 xy. 4 do 153 new basise 1,43 parameter 2,33. 3 232 1 3 3 phase i z. Sh r chooses increasesparameters by the most restrictiveconstraintfor treat variable any other choices of pilot in this column wouldleadto 1hfeasible tableau. Nowsuppose xv is free increasing allowed beyond xi 1 does not cause mfeasiblity since xyco. Since xy isfree xy o b not necessarily a boundary no reason to set is. Simplex rule once basic always basic one freevariable enters basis it should not leave i e. 5 1 3 21 8 3 e 528. Ani always pivot the freevariable into the basis. Here xz dfree so no xzzo or xzeo no restriction pivot 2 301 means z into the basis and nobody leaves.
