MTH 208 Lecture Notes - Lecture 7: Joule, Cyc
15 May 2020
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2 31 5 4 x5 18 6 e 189. 2 4 1 5 4 6 e 175. Consider the prinalldnal constraints evaluated at xfy o. Yi y l yz sys l3y4 ay 9g. 12 in the primal precisely o are feasible m un. Equity achieved in jth constraint when the corresponding dual multiplier yj. Xm y and j cyc yn for primal and dual then respectively. By strongduality above and each inequality is met w equality in theabove then. J ane a pnmalldual optimalpain and hold below. Cj for f i for i t n im. Note the ith constrant ifaijxj bi b met w equality. T o o t o t l t means there are 3 problem variables o. If x j are optimal primaldual pair and the form c t o oct. Then tf must be the form ch o. 1st y slack b zero we only know 2nd y slack b non negative o.
