A problem with Maximize/Minimize
- To: mathgroup at smc.vnet.net
- Subject: [mg119682] A problem with Maximize/Minimize
- From: Gary Wardall <gwardall at gmail.com>
- Date: Fri, 17 Jun 2011 00:09:34 -0400 (EDT)
A problem with Maximize/Minimize: Clear[x, y, z] Maximize[{30 x + 20 y + 15 z, x >= 0, y >= 0, z >= 0, 7 x + 7 y + 3 z <= 100, 3 x + y + 2 z <= 50}, {x, y, z}] {450, {x -> 10, y -> 0, z -> 10}} Maximize[{30 x + 20 y + 15 z, x >= 0, y >= 0, z >= 0, 7 x + 7 y + 3 z <= 100, 3 x + y + 2 z <= 50}, {x, y, z}, Integers] {490, {x -> 10, y -> 0, z -> 10}} I think the problem is obvious or am I confused? I'm using Mathematica 8 on an Apple Power Book 10.5.6 A similar problem exist with Minimize. Minimize[{-30 x - 20 y - 15 z, x >= 0, y >= 0, z >= 0, 7 x + 7 y + 3 z <= 100, 3 x + y + 2 z <= 50}, {x, y, z}] {-450, {x -> 10, y -> 0, z -> 10}} Minimize[{-30 x - 20 y - 15 z, x >= 0, y >= 0, z >= 0, 7 x + 7 y + 3 z <= 100, 3 x + y + 2 z <= 50}, {x, y, z}, Integers] {-490, {x -> 10, y -> 0, z -> 10}} Gary Wardall
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