View of /trunk/NationalProblemLibrary/ma122DB/set9/s4_7_3.pg

    1 ##DESCRIPTION
    2 ## Max/min -- minimize sum of two positive numbers with fixed product.
    3 ##ENDDESCRIPTION
    4 ##KEYWORDS('maximization,minimization', 'derivatives', 'maximum,minimum',
    5 ##  'optimization')
    6 
    7 ## Shotwell cleaned
    8 ## lcao , PAID on 11-24-2003
    9 
   10 ## DBsubject('Calculus')
   11 ## DBchapter('Applications of Differentiation')
   12 ## DBsection('Optimization Problems')
   13 ## Date('6/3/2002')
   14 ## Author('')
   15 ## Institution('')
   16 ## TitleText1('Calculus: Early Transcendentals')
   17 ## EditionText1('6')
   18 ## AuthorText1('Stewart')
   19 ## Section1('4.7')
   20 ## Problem1('3')
   21 
   22 DOCUMENT();        # This should be the first executable line in the problem.
   23 
   24 loadMacros("PGbasicmacros.pl",
   25            "PGanswermacros.pl",
   26 "PGauxiliaryFunctions.pl");
   27 
   28 TEXT(beginproblem());
   29 $showPartialCorrectAnswers=0;
   30 
   31 $a = random(8,15,1);
   32 $b = $a**2;
   33 
   34 BEGIN_TEXT
   35 
   36 Find two positive numbers whose product is \($b\) and whose sum is a
   37 minimum.
   38 $BR$BR
   39 Answer:  \{ans_rule(10)\}, \{ans_rule(10)\}
   40 
   41 END_TEXT
   42 
   43 $ans1 = $a;
   44 $ans2 = $a;
   45 
   46 ANS(num_cmp($ans1));
   47 ANS(num_cmp($ans2));
   48 
   49 ENDDOCUMENT();        # This should be the last executable line in the problem.