Question: Consider the linear program Maximize x +2y + 3z, subject to: x+y=1 y+z51 z-y20 x, y, 220 (a) Write down the dual of this linear

Consider the linear program Maximize x +2y + 3z, subject to: x+y=1 y+z51 z-y20 x, y, 220 (a) Write down the dual of this linear program. Do not overlook the fact that the third inequality in the given LP is a constraint. (6) You are now told that x= 1, y=0, z=1 is an optimal solution to the original LP. Use complementary slackness to find an optimum solution of your dual LP. (C) Suppose the second constraint in the original LP is changed to ytz

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