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Consider the following LP:
Maximize z=4x1+5x2+3x3
Subject to:
x1+x2+4x3≤6
x1+2x2+x3≤7
x1+4x2+2x3≤12
a) Add slack variables x4, x5 and x6, and perform iterations of the simplex algorithm. Show each completed iteration using tableau. The final (filled) tableau of the primal must be provided.
Basis
z
x1
x2
x3
x4
x5
x6
RHS
1
0
b) Write the dual of this LP.
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