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MathGroup Archive 2005

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Re: Optimal number of sheets

  • To: mathgroup at smc.vnet.net
  • Subject: [mg58347] Re: Optimal number of sheets
  • From: dh <dh at metrohm.ch>
  • Date: Tue, 28 Jun 2005 21:56:45 -0400 (EDT)
  • References: <d9r4sh$55f$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Hello John,
  The answer contained in this e-mail transmission is confidential
 >  information, proprietary to the sender and legally protected...

The greedy algorithmus will solve your problem.
Take as many 7 cm sheets that do not yet exhaust the given height.
For the rest, take as many 4cm sheets that do not yet exhaust the rest.
e.t.c

By the way, here is a more interesting problem: What the minimum number 
of heights you need to make all heights from 1 to 25.

sincerely, Daniel

Erb, John wrote:
> Hello,
> 
> On a given occasion, I wish to create different thicknesses of a
> material, ranging
> say, for example, from 1 cm to 25 cm, in increments of 1 cm.
> 
> How can I, using Mathematica, determine the minimum number
> of sheets of material I need?
> The material comes in thicknesses of 1, 2, 3, 4, & 7 cm.
> 
> Thank you,
> John C. Erb
> email:  John_C_Erb at prodigy.net
> 
> 
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