Maximize with Integer constraints

*To*: mathgroup at smc.vnet.net*Subject*: [mg78227] Maximize with Integer constraints*From*: "sdw" <warwick at jps.net>*Date*: Tue, 26 Jun 2007 04:33:18 -0400 (EDT)

given entry #1: Maximize[ {x1 + x2 + x3 + x4, Element[x1 | x2 | x3 | x4 , Integers] && 0 <= x1 <= 5.6 && 0 <= x2 <= 8.6 && 0 <= x3 <= 9.7 && 4.0 <= x4 <= 22.4 }, {x1, x2, x3, x4}] {4., {x1 -> 0, x2 -> 0, x3 -> 0, x4 -> 4}} note - zeros for answers entry #2: Maximize[ {x1 + x2 + x3 + x4, Element[x1 | x2 | x3 | x4 , Integers] && 0 <= x1 <= 5.6 && 0 <= x2 <= 8.6 && 0 <= x3 <= 9.7 && 4.1 <= x4 <= 22.4 }, {x1, x2, x3, x4}] {44., {x1 -> 5, x2 -> 8, x3 -> 9, x4 -> 22}} note good answers... only difference is 4.1 vs. 4 in constraints any ideas what is going on? thanks, sdw

**Follow-Ups**:**Re: Maximize with Integer constraints***From:*Andrzej Kozlowski <akoz@mimuw.edu.pl>