[Help-glpk] Solving inequations

[Falk Hueffner]

Hi,

I'm currently trying to solve a problem with inequations, but I'm from
the area of algorithmic biology, so I don't know much about integer
programming... Perhaps I can use glpk to solve it? The problem is:

I want to find some x_i so that some inequations of the form

c_0 + c_1 x_1 + ... >= 0

hold. Also, all x_i are >= 0 and also have an upper limit. And all
variables are integer, of course.

So there's no optimizing going on actually, I just want to find any
solution. Can this be formulated for glpk?

I tried it by eliminationg variables, but the number of inequations
grows too quickly. I have perhaps 20 x_i and 20 inequations.

        Falk