Can we design a pivot for this tableau that tries to

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Unformatted text preview: le because the objective row coefficients are all non-positive, but it is not primal feasible. -1 -4 1 -4 -1 -2 1 -2 2 1 -4 -1 1 0 0 0 0 1 0 0 0 0 1 0 -3 -4 2 0 A tableau is optimal if and only if it is both primal feasible and dual feasible. Can we design a pivot for this tableau that tries to move it toward primal feasibility while retaining dual feasibility? D minimize subject to −3y1 − 4y2 + 2y3 −y1 − 4y2 + y3 ≥ −4 −y1 − 2y2 + y3 ≥ −2 2y1 + y2 − 4y3 ≥ −1 0 ≤ y1 , y2 , y3 D minimize subject to −3y1 − 4y2 + 2y3 −y1 − 4y2 + y3 ≥ −4 −y1 − 2y2 + y3 ≥ −2 2y1 + y2 − 4y3 ≥ −1 0 ≤ y1 , y2 , y3 −1 −4 1 −4 −1 2100 −2 1010 1 −4 0 0 1 −2 −1 0 0 0 −3 −4 2 0 D minimize subject to −3y1 − 4y2 + 2y3 −y1 − 4y2 + y3 ≥ −4 −y1 − 2y2 + y3 ≥ −2 2y1 + y2 − 4y3 ≥ −1 0 ≤ y1 , y2 , y3 −1 −4 1 −4 −1 2100 −2 1010 1 −4 0 0 1 −2 −1 0 0 0 −3 −4 2 0 dual objective coefficients D minimize subject to ...
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This note was uploaded on 01/29/2014 for the course MATH 407 taught by Professor Staff during the Fall '08 term at University of Washington.

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