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Wed Oct 12 19:45:41 2005 UTC (7 years, 7 months ago) by gage
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```    1 ## DESCRIPTION
2 ##  Calculus: Optimization Problems
3 ## ENDDESCRIPTION
4
5 ## KEYWORDS('Optimization Problems')
6 ## Tagged by YL
7
8 ## DBsubject('Calculus')
9 ## DBchapter('Applications of Differentiation')
10 ## DBsection('Optimization Problems')
11 ## Date('5/29/2005')
12 ## Author('Jeff Holt')
13 ## Institution('UVA')
14 ## TitleText1('Calculus')
15 ## EditionText1('5e')
16 ## AuthorText1('Stewart')
17 ## Section1('4.7')
18 ## Problem1('29')
19
20
21 DOCUMENT();        # This should be the first executable line in the problem.
22
24 "PG.pl",
25 "PGbasicmacros.pl",
26 "PGchoicemacros.pl",
28 "PGauxiliaryFunctions.pl"
29 );
30
31 TEXT(beginproblem());
32 \$showPartialCorrectAnswers = 0;
33
34 \$a = random(2,8,2);
35 \$b = random(2,8,2);
36 \$c = random(380,390,2);
37
38 TEXT(EV2(<<EOT));
39 The top and bottom margins of a poster are \$a cm and the side margins are
40 each \$b cm.  If the area of printed material on the poster is fixed at \$c square
41 centimeters, find the dimensions of the poster with the smallest area.
42 \$PAR
43 Width = \{&ans_rule(15)\} Height = \{&ans_rule(15)\}
44 EOT
45
46 \$x = (((\$b*\$c)/\$a)**(1/2)) + 2*\$b;
47 \$y = (\$c/(((\$b*\$c)/\$a)**(1/2))) + 2*\$a;
48
49 ANS(num_cmp([\$x,\$y], format=>"%0.5f", relTol=>1));
50 ENDDOCUMENT();        # This should be the last executable line in the problem.
```

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