This is a repost
original question is here
http://web2.0calc.com/questions/linear-programming_1
I saw this question before an I have earmarked it to come back to but i have not had time. Sorry.
I still don't have time, maybe one of the other mathematicians would like to try it.
You are encouraged to repost when you question has been sitting about for some time but please follow this guideline.
http://web2.0calc.com/questions/instructions-on-reposting_1
Otherwise we sometimes end up answering the same question more than once and we just do not have time for that :)