maximin linear programming solution not feasible

lucy.chef

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Joined
Feb 13, 2022
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1
i want to find max(min(4x2 + x3 + 3x4),(x2 + 5x3 + 4x4))

subject to


-x1 + x2 =>0


x3 - x4 =>0


-x1 + x3 =>0


x2 - x4 => 0


x1, x2, x3, x4=>0


x1 + x2 + x3 + x4 = 1


I was doing this via finding


max x5

4x2 + x3 + 3x4 - x5 =>0

x2 + 5x3 + 4x4 - x5 =>0


however when i put this into a linear program calculator, it says that the solution is 'infeasible'.
Could anybody help me? I have little experience with linear programming.
Thanks so much!
 
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