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# View of /trunk/NationalProblemLibrary/UVA-Stew5e/setUVA-Stew5e-C04S07-Optimization/4-7-29.pg

Wed Jul 18 15:40:35 2007 UTC (5 years, 10 months ago) by jjholt
File size: 1395 byte(s)
```Added Stew6e tags.
```

```    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: Early Transcendentals')
15 ## EditionText1('5')
16 ## AuthorText1('Stewart')
17 ## Section1('4.7')
18 ## Problem1('29')
19
20 ## TitleText2('Calculus: Early Transcendentals')
21 ## EditionText2('6')
22 ## AuthorText2('Stewart')
23 ## Section2('4.7')
24 ## Problem2('')
25
26
27 DOCUMENT();        # This should be the first executable line in the problem.
28
30 "PG.pl",
31 "PGbasicmacros.pl",
32 "PGchoicemacros.pl",
34 "PGauxiliaryFunctions.pl"
35 );
36
37 TEXT(beginproblem());
39
40 \$a = random(2,8,2);
41 \$b = random(2,8,2);
42 \$c = random(380,390,2);
43
44 TEXT(EV2(<<EOT));
45 The top and bottom margins of a poster are \$a cm and the side margins are
46 each \$b cm.  If the area of printed material on the poster is fixed at \$c square
47 centimeters, find the dimensions of the poster with the smallest area.
48 \$PAR
49 Width = \{&ans_rule(15)\} Height = \{&ans_rule(15)\}
50 EOT
51
52 \$x = (((\$b*\$c)/\$a)**(1/2)) + 2*\$b;
53 \$y = (\$c/(((\$b*\$c)/\$a)**(1/2))) + 2*\$a;
54
55 ANS(num_cmp([\$x,\$y], format=>"%0.5f", relTol=>1));
56 ENDDOCUMENT();        # This should be the last executable line in the problem.
```