Question: This is a multi-step problem with 4 steps: Problem 4 Consider the following LP: max 2x1 + 2x2 + 4x3 x1 - 2x2 + 2x3

This is a multi-step problem with 4 steps:

Problem 4 Consider the following LP: max 2x1 + 2x2 + 4x3 x1 - 2x2 + 2x3 5 -1 3x1 - 2x2 + 4x3 5 -3 X1, X2, X3 5 0 Formulate a dual of this linear program. Select all the correct objective function and constraints. Select all that apply min - y1 - 3y2 min 2y1 + 2y2 + 2y3 yi + 3y2 52 0-2y1 - 2y2 5 2 2y1 + 4y2 5 4 y1, 12 SOProblem 5 [Continuing Problem 4]: Solve the dual using either graphical method or simplex method. Give the optimal dual objective value. Problem 6 (Continuing Problem 4): What is the optimal objective value of the primal? O 2 O 1 Oo O - 2Problem 7 (Continuing Problem 4): Use complementary slackness to find an optimal primal solution if we are given that the dual optimal solution {0, 23). 0 (0,4,0) 0 too) O (%,-%,0)

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