## DESCRIPTION
##  Calculus: Optimization Problems
## ENDDESCRIPTION

## KEYWORDS('Optimization Problems')
## Tagged by YL

## DBsubject('Calculus')
## DBchapter('Applications of Differentiation')
## DBsection('Optimization Problems')
## Date('5/29/2005')
## Author('Jeff Holt')
## Institution('UVA')
## TitleText1('Calculus: Early Transcendentals')
## EditionText1('5')
## AuthorText1('Stewart')
## Section1('4.7')
## Problem1('29')


DOCUMENT();        # This should be the first executable line in the problem.

loadMacros(
"PG.pl",
"PGbasicmacros.pl",
"PGchoicemacros.pl",
"PGanswermacros.pl",
"PGauxiliaryFunctions.pl"
);

TEXT(beginproblem());
$showPartialCorrectAnswers = 0;

$a = random(2,8,2);
$b = random(2,8,2);
$c = random(380,390,2); 

TEXT(EV2(<<EOT));
The top and bottom margins of a poster are $a cm and the side margins are
each $b cm.  If the area of printed material on the poster is fixed at $c square
centimeters, find the dimensions of the poster with the smallest area.
$PAR
Width = \{&ans_rule(15)\} Height = \{&ans_rule(15)\}
EOT

$x = ((($b*$c)/$a)**(1/2)) + 2*$b;
$y = ($c/((($b*$c)/$a)**(1/2))) + 2*$a;

ANS(num_cmp([$x,$y], format=>"%0.5f", relTol=>1));
ENDDOCUMENT();        # This should be the last executable line in the problem.