*11. Consider the Lp, maximize z = ex subject to AX $ b, X ~ 0, where...

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*11. Consider the Lp, maximize z = ex subject to AX $

b, X ~ 0, where b ~ O. Suppose that the entering vector Pj is such that at least one element of B-1Pj is positive.

(a) If Pi is replaced with aPi' where a is a positive scalar, and provided Xi remains the entering variable, find the relationship between the values of Xi corresponding to Pj and aPj .

(b) Answer Part

(a) i~ additionally, b is replaced with ,Bb, where ,B is a positive scalar.

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