Groups > comp.soft-sys.math.mathematica > #2513

Maximize a single variable and solve for the rest

From	Ramiro <ramiro.barrantes@gmail.com>
Newsgroups	comp.soft-sys.math.mathematica
Subject	Maximize a single variable and solve for the rest
Date	2011-05-20 10:38 +0000
Organization	Steven M. Christensen and Associates, Inc and MathTensor, Inc.
Message-ID	<ir5gat$t3f$1@smc.vnet.net> (permalink)

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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

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Maximize a single variable and solve for the rest Ramiro <ramiro.barrantes@gmail.com> - 2011-05-20 10:38 +0000
  Re: Maximize a single variable and solve for the rest Peter Pein <petsie@dordos.net> - 2011-05-21 10:49 +0000

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