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# View of /trunk/NationalProblemLibrary/Rochester/setVmultivariable7MaxMin/ur_vc_7_6.pg

Tue May 9 13:07:16 2006 UTC (7 years ago) by jjholt
File size: 1146 byte(s)
```Added tags.
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```    1 ## DESCRIPTION
2 ## Calculus
3 ## ENDDESCRIPTION
4
5 ## KEYWORDS('minimum' 'triangle' 'multivariable' 'surface area')
6 ## Tagged by tda2d
7
8 ## DBsubject('Calculus')
9 ## DBchapter('Applications of Differentiation')
10 ## DBsection('Optimization Problems')
11 ## Date('')
12 ## Author('')
13 ## Institution('Rochester')
14 ## TitleText1('')
15 ## EditionText1('')
16 ## AuthorText1('')
17 ## Section1('')
18 ## Problem1('')
19
20
21 DOCUMENT();   # This should be the first executable line in the problem.
22
24            "PGbasicmacros.pl",
25            "PGchoicemacros.pl",
27            "PGauxiliaryFunctions.pl"
28           );
29
30 TEXT(beginproblem());
32
33 \$a = random(2, 20, 1);
34 \$v = \$a**3;
35
36 BEGIN_TEXT
37 You are to manufacture a rectangular box with 3 dimensions x, y and z, and
38 volume \( v = \$v \).  Find the dimensions which minimize the surface area
39 of this box. \$BR
40
41 x = \{ ans_rule(5) \} \$BR
42 y = \{ ans_rule(5) \} \$BR
43 z = \{ ans_rule(5) \} \$BR
44
45 END_TEXT
46
47 ANS(num_cmp( \$a ) );
48 ANS(num_cmp( \$a ) );
49 ANS(num_cmp( \$a ) );
50
51
52 ENDDOCUMENT();    # This should be the last executable line in the problem.
```