Re: how to solve for all integer solutions, linear programming

*To*: mathgroup at smc.vnet.net*Subject*: [mg109520] Re: how to solve for all integer solutions, linear programming*From*: "Harvey P. Dale" <hpd1 at nyu.edu>*Date*: Mon, 3 May 2010 06:11:42 -0400 (EDT)

Bob: Reduce[{5 a + 3 b + 2 c + 6 d + 5 e + f ==== 25 && a + b + c <== 4 && d + e + f <== 5 && a >== 0 && b >== 0 && c >== 0 && d >== 0 && e >== 0 &= & f >== 0}, {a, b, c, d, e, f}, Integers] Best, Harvey -----Original Message----- From: me13013 [mailto:me13013 at gmail.com] Sent: Sunday, May 02, 2010 5:36 AM To: mathgroup at smc.vnet.net Subject: [mg109520] [mg109505] how to solve for all integer solutions, linear programming 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