I am looking for things that might make sense to students in elementary school. 
 Maybe a bright young student would extend the question as you have.  

However, I will limit the results to lists and tables, because I ask to find 
how many solutions there are.

Thanks for the useful question.

Linda

-----Original Message-----
From: [email protected] 
[mailto:[email protected]] On Behalf Of Peter B. Kessler
Sent: Friday, October 03, 2014 2:46 PM
To: [email protected]
Subject: Re: [Jprogramming] Protect the Almond Cookies

Are only 2-dimensional boxes permitted?  That is, are these allowed?

              2 2 3 $ <'0'
        +-+-+-+
        |0|0|0|
        +-+-+-+
        |0|0|0|
        +-+-+-+
        
        +-+-+-+
        |0|0|0|
        +-+-+-+
        |0|0|0|
        +-+-+-+
              2 3 2 $ <'0'
        +-+-+
        |0|0|
        +-+-+
        |0|0|
        +-+-+
        |0|0|
        +-+-+
        
        +-+-+
        |0|0|
        +-+-+
        |0|0|
        +-+-+
        |0|0|
        +-+-+
              3 2 2 $ <'0'
        +-+-+
        |0|0|
        +-+-+
        |0|0|
        +-+-+
        
        +-+-+
        |0|0|
        +-+-+
        |0|0|
        +-+-+
        
        +-+-+
        |0|0|
        +-+-+
        |0|0|
        +-+-+

If I only have 2x2 boxes on hand, can I shrink wrap 3 of them together to 
package an order of 12 eggs?  What am I trying in minimize: the number of 
different kinds of boxes to keep in stock, or the number of empty pockets that 
I ship (e.g., with an order for 5), or what?

Does it matter that people mostly buy a dozen eggs, or a half-dozen eggs, and 
that they rarely buy just one egg?

What's the relative cost of boxes to eggs?  E.g., if someone orders 5 eggs and 
I ship them a pre-packaged box of 6, is that better or worse (for me) than 
keeping around a stock of boxes that hold 5 eggs and hand-packing one just for 
them?  Can I change the catalog so the price of a order of 5 eggs is the cost 
of 5 eggs plus the cost of a box that holds 6 eggs, whereas the price of an 
order of 6 eggs is the cost of 6 eggs plus the cost of the same box?  Probably 
I've wandered outside of the question you wanted me to express in J.

                        ... peter

On 10/ 3/14 01:53 AM, Linda Alvord wrote:
> As a result of Billl’s message we have found a new supplier of cookie boxes 
> which will decrease costs and increase profist for our company.
>
> However, the challenge remains the same.  After eliminataing the need for B, 
> we have three boxes so far. The issue remains to find all the possible boxed 
> eggs for our customers if we can send 1 to 12 eggs upon request. The answer 
> should determine the number of different boxes we will need. ]AC12A=:2 6$<'0'
> ┌─┬─┬─┬─┬─┬─┐
> │0│0│0│0│0│0│
> ├─┼─┼─┼─┼─┼─┤
> │0│0│0│0│0│0│
> └─┴─┴─┴─┴─┴─┘
>     ]AC12B=:6 2$<'0'
> ┌─┬─┐
> │0│0│
> ├─┼─┤
> │0│0│
> ├─┼─┤
> │0│0│
> ├─┼─┤
> │0│0│
> ├─┼─┤
> │0│0│
> ├─┼─┤
> │0│0│
> └─┴─┘
>     ]AC12=:3 4$<'0'
> ┌─┬─┬─┬─┐
> │0│0│0│0│
> ├─┼─┼─┼─┤
> │0│0│0│0│
> ├─┼─┼─┼─┤
> │0│0│0│0│
> └─┴─┴─┴─┘
>     ]AC5A=:5$<'0'
> ┌─┬─┬─┬─┬─┐
> │0│0│0│0│0│
> └─┴─┴─┴─┴─┘
>
>
>
>     ]AC12A=:2 6$<'0'
> ┌─┬─┬─┬─┬─┬─┐
> │0│0│0│0│0│0│
> ├─┼─┼─┼─┼─┼─┤
> │0│0│0│0│0│0│
> └─┴─┴─┴─┴─┴─┘
>     ]AC12B=:6 2$<'0'
> ┌─┬─┐
> │0│0│
> ├─┼─┤
> │0│0│
> ├─┼─┤
> │0│0│
> ├─┼─┤
> │0│0│
> ├─┼─┤
> │0│0│
> ├─┼─┤
> │0│0│
> └─┴─┘
>     ]AC12=:3 4$<'0'
> ┌─┬─┬─┬─┐
> │0│0│0│0│
> ├─┼─┼─┼─┤
> │0│0│0│0│
> ├─┼─┼─┼─┤
> │0│0│0│0│
> └─┴─┴─┴─┘
>     ]AC5A=:5$<'0'
> ┌─┬─┬─┬─┬─┐
> │0│0│0│0│0│
> └─┴─┴─┴─┴─┘
>
>
>
> -----Original Message-----
> From: [email protected] 
> [mailto:[email protected]] On Behalf Of bill lam
> Sent: Thursday, October 02, 2014 8:15 PM
> To: Programming forum
> Subject: Re: [Jprogramming] Protect the Almond Cookies
>
> rank conjunction is difficult to understand even for adult.
> IMO 2 6$<'0' is better,
>
>     2 6$<'0'
> ┌─┬─┬─┬─┬─┬─┐
> │0│0│0│0│0│0│
> ├─┼─┼─┼─┼─┼─┤
> │0│0│0│0│0│0│
> └─┴─┴─┴─┴─┴─┘
>
> On Oct 2, 2014 8:10 PM, "Linda Alvord" <[email protected]> wrote:
>
>> Suppose you want to start a little business to sell ancy Almond Cookies.
>> You want to be able to provide boxes of cookies for any order up to 12
>> cookies.  Createe a  way to show all the box designs you will need for your
>> cookies.  Orders may be from 1 to 12 cookies. Also include a way to have
>> the computer generate a count of the different  shapes of boxes you will
>> need. Show a cookie in each box.  Sinple J please.
>>
>> ]AC12A=:(<"0)2 6$'0'
>> --T-T-T-T-T-┐
>> │0│0│0│0│0│0│
>> +-+-+-+-+-+-+
>> │0│0│0│0│0│0│
>> L-+-+-+-+-+--
>>     ]AC12B=:<"0|.6 2$'0'
>> --T-┐
>> │0│0│
>> +-+-+
>> │0│0│
>> +-+-+
>> │0│0│
>> +-+-+
>> │0│0│
>> +-+-+
>> │0│0│
>> +-+-+
>> │0│0│
>> L-+--
>>     ]AC12C=:(<"0)3 4$'0'
>> --T-T-T-┐
>> │0│0│0│0│
>> +-+-+-+-+
>> │0│0│0│0│
>> +-+-+-+-+
>> │0│0│0│0│
>> L-+-+-+--
>>     ]AC5D=:(<"0)5$'0'
>> --T-T-T-T-┐
>> │0│0│0│0│0│
>> L-+-+-+-+--
>>
>> Packages A and B are considered the same
>>
>> Packages A and B are different.
>>
>>
>>
>>
>>
>> ----------------------------------------------------------------------
>> For information about J forums see http://www.jsoftware.com/forums.htm
> ----------------------------------------------------------------------
> For information about J forums see http://www.jsoftware.com/forums.htm
> ----------------------------------------------------------------------
> For information about J forums see http://www.jsoftware.com/forums.htm
>
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