Re: How Many Of You Had To Teach Yourself The Math?


Jonathan Kirwan wrote:

Ah. Now there's the next step. Assume that there is a cost function
that yields the actual ratio found in a tuna can as optimal. Solve
for the currently unknown cost relationship that could have been
specified at the outset to get that particular ratio out as optimal.

. . .

Or, in other words, m = .53846 or 7/13ths. Roughly speaking, the lid
material must be about half the cost per unit area as the cylindrical
side material if this is optimized and ignoring the cost of the can
seals. Not unexpected.

Jon

And then there are soda pop cans, which have a different ratio for H/D.
Makes me wonder what is so different about making a soda can that the
optimum shape would be proportionately so much taller than a tuna can.

Mark

.

Relevant Pages

  • Re: How Many Of You Had To Teach Yourself The Math?
    ... specified at the outset to get that particular ratio out as optimal. ... material must be about half the cost per unit area as the cylindrical ... And then there are soda pop cans, which have a different ratio for H/D. ... optimum shape would be proportionately so much taller than a tuna can. ...
    (sci.electronics.basics)
  • Re: How Many Of You Had To Teach Yourself The Math?
    ... specified at the outset to get that particular ratio out as optimal. ... material must be about half the cost per unit area as the cylindrical ... And then there are soda pop cans, which have a different ratio for H/D. ... optimum shape would be proportionately so much taller than a tuna can. ...
    (sci.electronics.basics)
  • Re: How Many Of You Had To Teach Yourself The Math?
    ... minimum area. ... I checked a tuna can on my shelf that measures 3.25 diameter by 1.75 ... inch high, which is not optimum and apparently wastes about 1.6 sq. ... assumed the cost were the same for both. ...
    (sci.electronics.basics)
  • Re: How Many Of You Had To Teach Yourself The Math?
    ... minimum area. ... I checked a tuna can on my shelf that measures 3.25 diameter by 1.75 ... inch high, which is not optimum and apparently wastes about 1.6 sq. ... assumed the cost were the same for both. ...
    (sci.electronics.basics)
  • Re: How Many Of You Had To Teach Yourself The Math?
    ... assumed the cost were the same for both. ... specified at the outset to get that particular ratio out as optimal. ... A = top lid area + bottom lid area + side cylinder area ...
    (sci.electronics.basics)
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