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question about maximization with mathematica tool

  • To: mathgroup at smc.vnet.net
  • Subject: [mg109399] question about maximization with mathematica tool
  • From: MANOLIS <voskakis86 at gmail.com>
  • Date: Sun, 25 Apr 2010 06:24:34 -0400 (EDT)

i want to maximize the equation below:

12La*T + (0.12x + 5 y)*((2 (42 x + 4018 y - 7 x y))/(
    9 x y) - (6 x + 574 y - x y)^2/(2025 x^2 y^2))

it has 4 variables x, y, La, T. I want the maximization for the x
variable only. In other words i want to find a relation between x and
the other variables that maximizes the whole equation. the
restrictions are that 80<x<250 and y==3.5 || y==2

i wrote the command below  in mathematica but nothing:


Maximize[{12La*T + (0.12x + 5y)*((2 (42 x + 4018 y - 7 x y))/(
      9xy) - (6x + 574y - x*y)^2/(2025 x^2 y^2)),
  x < 250 && x > 80, y == 3.5 || y == 2}, {x}]


i dont know why. i dont think that it is the number of variables that
causes the problem...

thank you very much
Manolis


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