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?

  • $\begingroup$ Have a look at the Simplex Method. $\endgroup$ – Daryl Sep 26 '12 at 3:58
  • $\begingroup$ 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? $\endgroup$ – Mike Spivey Sep 26 '12 at 4:26
  • $\begingroup$ All your variables are positive? $\endgroup$ – cactus314 Sep 26 '12 at 13:28
  • $\begingroup$ The simplex method is what I needed $\endgroup$ – Jimmy Pitts Sep 29 '12 at 16:43

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