I need to make a linear programming model. Here are the inequalities I'm using (for example):
6x + 4y <= 24
x + 2y <= 6
-x + y <= 1
y <= 2
UPDATE: The answer has become somewhat outdated in the past 4 years, here is an update. You have many options:
If you do not have to do it Python then it is a lot more easier to do this in a modeling langage, see Any good tools to solve integer programs on linux?
I personally use Gurobi these days through its Python API. It is a commercial, closed-source product but free for academic research.
SciPy offers linear programming: scipy.optimize.linprog. (I have never tried this one.)
Apparently, CVXOPT offers a Python interface to GLPK, I did not know that. I have been using GLPK for 8 years now and I can highly recommend GLPK. The examples and tutorial of CVXOPT seem really nice!
You can find other possibilites at in the Wikibook under GLPK/Python. Note that many of these are not necessarily resticted to GLPK.