Question: Consider the following optimization problem (P2): minimize 10y +12y2 + 13y3 + 16y4 + 19y5 + x1 + x2 + x3 subject to 5y1

Consider the following optimization problem (P2): minimize 10y +12y2 + 13y3 +

Consider the following optimization problem (P2): minimize 10y +12y2 + 13y3 + 16y4 + 19y5 + x1 + x2 + x3 subject to 5y1 +9y2 + 4y3 +10y4 + 6y5 + X = 60, 8y1 + 7y2 + 6y3 +10y4 +9y5 + x2 = 70, 4y1 +10y2 +9y3 +6y4 + 5y5 + x3 = 80, y1, y2, y3, y4, Y5 R+, X1, X2, X3 Z+. (P) ) Apply Bender's decomposition to (P2). Write down the Ben- der's Master Problem, Subproblem, and Dual Subproblem, explicitly. Apply 2 iterations by hand-writing.

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