FranD
Posts:
14
Registered:
5/22/11


Re: Maximize a single variable and solve for the rest
Posted:
May 23, 2011 5:29 AM


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

