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I want the max of:


I am given 5 inequalities:








It seems obvious that i want the most of $x_1$, and the least of $x_6$ within my constraints, but I am having trouble setting up the set of equations properly. I read about using an extra variable for each inequality to turn it into an equality, but then I think I'll have 12 or 13 equations to solve.

Is there some next step that I should take to solve this?

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Have a look at the Simplex Method. – Daryl Sep 26 '12 at 3:58
What do you know at this point in your course? Daryl is right that the simplex method will solve this problem for you. Are you allowed to use that? – Mike Spivey Sep 26 '12 at 4:26
All your variables are positive? – cactus314 Sep 26 '12 at 13:28
The simplex method is what I needed – Jimmy Pitts Sep 29 '12 at 16:43

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