Re: Maximize a single variable and solve for the rest
- To: mathgroup at smc.vnet.net
- Subject: [mg119147] Re: Maximize a single variable and solve for the rest
- From: FranD <seacrofter001 at yahoo.com>
- Date: Mon, 23 May 2011 06:24:35 -0400 (EDT)
This appars to work:
r1 = 3/4; r2 = 1;
Maximize[{c,
b == c*r1 && h + s + b + d == 1 && d == c*r2 && h == s && b + d <= 9/10, c <= 9}, {h, s, b, d, c}]
Out = {18/35, {h -> 1/20, s -> 1/20, b -> 27/70, d -> 18/35, c -> 18/35}}
FranD
----
Hello,
I have a problem where I would like to solve an equation (namely (h+s+b+d==1) with some constraints, while maximizing for a related variable "c" (c<=9). Please see below, any suggestions?
r1 = 3/4;
r2 = 1;
Block[{h, s, b, d, c},
NMaximize[{h + s + b + d,
b == c*r1 && h + s + b + d == 1 && d == c*r2 && h == s &&
b + d <= 0.9}, {h, s, b, d, c}]]
{1., {h -> 0.5, s -> 0.5, (3 c)/4 -> 0., c -> 0., c -> 0.}}
Should I be using NSolve?
Thanks in advance,
Ramiro