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Re: Symbolic Optimization Problem

  • To: mathgroup at smc.vnet.net
  • Subject: [mg88544] Re: Symbolic Optimization Problem
  • From: Blake <blakeandteresa at gmail.com>
  • Date: Thu, 8 May 2008 04:12:23 -0400 (EDT)
  • References: <fvpd5c$mr4$1@smc.vnet.net>

Hello Gonca,

I suggest starting with a simpler problem which is a subset of your
problem:

f = (1/R)^(\[Beta]/(1 - \[Beta]));

I examine it's behavior for various values of \[Beta]

Plot[Table[f, {\[Beta], 0.1, .9, .1}], {R, -1, 1}]

Now, it seems that there is a more basic question: why doesn't the
following evaluate?

Maximize[{(1/R)^(\[Beta]/(1 - \[Beta])),   0 < \[Beta] < 1}, {R, \
[Beta]}]

It appears that the maximum of this function occurs in the limit \
[Beta]->1 and R->0.

Blake


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