Table for FindInstance solutions
- To: mathgroup at smc.vnet.net
- Subject: [mg114575] Table for FindInstance solutions
- From: MH <matthewhoek at gmail.com>
- Date: Wed, 8 Dec 2010 06:41:31 -0500 (EST)
Hello. I'm trying to display in a table solutions to the equation 6S
+ 9N + 20T = D, where D is an integer allowed to go from 1 to 100. I
can use FindInstance to find solutions with no problems. What'd I'd
really like, though, is a table with four columns: one column each for
D, S, N, and T. The following code gets me close to what I want, but
every entry in the last three columns is the same. And, every entry
gives the value for S, N, and T, instead of just the appropriate S or
N or T value. For example, when D = 71, that row reads
71 {S -> 7, N -> 1, T -> 1} {S -> 7, N -> 1, T -> 1} {S -> 7, N ->
1, T -> 1}.
I can interpret the correct result (7 sixes, 1 nine, and 1 twenty),
but I'd like the column to read
71 7 1 1
How can I change that? Incidentally, this problem is from a current
issue of Delta Airlines' Sky Magazine. The problem asks about a baker
who sells donuts in boxes of 6, 9, and 20. What's the largest number
of donuts you CANNOT purchase? I have the solution; I'd just like it
to look a little bit nicer. :-)
Thanks!
MH
=====
TableForm[
Table[
{D,
FindInstance[
6 S + 9 N + 20 T == D && S >= 0 && N >= 0 && T >= 0, {S, N, T},
Integers],
FindInstance[
6 S + 9 N + 20 T == D && S >= 0 && N >= 0 && T >= 0, {S, N, T},
Integers],
FindInstance[
6 S + 9 N + 20 T == D && S >= 0 && N >= 0 && T >= 0, {S, N, T},
Integers]
},
{D, 1, 20, 1}],
TableHeadings -> {None, {"TOTAL", "BOXES OF 6", "BOXES OF 9",
"BOXES OF 20"}},
TableAlignments -> {Center},
TableSpacing -> {1, 3}
]
=====