Could you please help me to prove this using Farkas Lemma?
Well, I initially thought that I can use Farkas Lemma, but if it is impossible to use the lemma (though I do belive it will help), you might try other way.
(See attached file for full problem description)
Please see the attached file.
Suppose that , are such that , and
, are such that
Prove that there exists such that
Proof: Since , where , , ...
This shows how to complete the proof of a Dual problem.