Groups > comp.soft-sys.math.mathematica > #2625

Re: Maximize a single variable and solve for the rest

From	FranD <seacrofter001@yahoo.com>
Newsgroups	comp.soft-sys.math.mathematica
Subject	Re: Maximize a single variable and solve for the rest
Date	2011-05-23 10:24 +0000
Organization	Steven M. Christensen and Associates, Inc and MathTensor, Inc.
Message-ID	<irdcku$3lp$1@smc.vnet.net> (permalink)

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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

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Re: Maximize a single variable and solve for the rest FranD <seacrofter001@yahoo.com> - 2011-05-23 10:24 +0000

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