how to solve for all integer solutions, linear programming

*To*: mathgroup at smc.vnet.net*Subject*: [mg109505] how to solve for all integer solutions, linear programming*From*: me13013 <me13013 at gmail.com>*Date*: Sun, 2 May 2010 05:35:33 -0400 (EDT)

Howdy, I have a small linear programming problem that I would like to solve for all integer solutions: 5a + 3b + 2c + 6d + 5e + f = 25 a + b + c <= 4 d + e + f <= 5 a,b,c,d,e,f >= 0 How can I pose this problem to Mathematica? I have looked at (and fiddled around with) the LinearProgramming function, but I don't see how to make ti give me the solution(s) I am looking for. Thanks for any help, Bob H