Ok, the problem was solved by a colleague with a bit more math education than me. It turns out the solution was not very difficult, hinging on a better understanding of what duals are. Still i don't understand why, given the supposed audience here and the apparent simplicity of the solution, no-one could propose an helpful solution in 24 hours time.
I'm trying to express this linear program as a minimization problem and i couldn't do it.
$x_1 <= \delta$
$x_1 <= 0$
Where $\delta$ is some (not necessarily positive) constant.
Would anyone please be kind enough to help me out,
Ok, i'll adress the new comments below:
Is the aim of the of this forum to be helpful or pedantic ?
Ok, i'll address the comments i got so fare below:
Shake Baby & Yemon Choi:> This is not an homework, but an actual problem i'm trying to solve. Yemon Choi:> I'm not sure how much interest to a mathematician this problem will be, but i have tried several approach and none of them could do it, for example:
I think I'm missing something and hope that someone accustomed to linear programing can help.