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#1 Yoruichi-san

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Posted 16 January 2013 - 10:14 AM

I'm baking biscuits.  I have 15 cubic inches of dough.  I need to roll it out and cut circles out of it.  Let's say I'm obsessive and require the circles to be perfect 3 inch rounds, and I am uber-skilled and rolling and roll to a perfectly uniform thickness of 1/4 inch, and I have some strange compulsion and can only roll the dough into rectangular shapes.

 

Being an engineer, on a day when I'm more lazy and less greedy, I choose to roll the dough out once, cut the rounds, and feed the scraps to the dog.  What are dimensions so that I can cut the maximum biscuits?  (Hey, I said less greedy... ;) )

 

On a day when I'm more greedy and less lazy, I make a quadruple batch (60 cubic inches) and choose to roll the dough out, cut the rounds, consolidate the scraps and roll out again, cut more rounds, etc until I am left with less dough than I can roll into a piece I can cut a biscuit out of, and I feed that to the dog.  What is the minimum number of times I have to roll out the dough?  


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#2 bonanova

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Posted 16 January 2013 - 12:53 PM

Spoiler for Part 1


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#3 CaptainEd

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Posted 16 January 2013 - 04:22 PM

I'm missing something even before I try to answer: I see actions of

* cutting into rounds

* rolling out

* rolling into rectangles

* requiring 1/4 inch thick rollout

 

I think I hear that you cut them into circles, then roll them into 1/4 thickness, and then roll them into rectangular shapes. This will necessarily reduce the thickness. But maybe the 1/4 thickness is required AFTER rolling the rounds into rectangular shapes?

 

Please, what is the sequence of events and constraints thereupon? Alternatively, what was the stuff about rectangular shapes about?


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#4 k-man

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Posted 16 January 2013 - 07:42 PM

Spoiler for looks like

 

@CaptainEd

 

The last paragraph of the OP kinda describes the sequence. First you roll out the dough into a rectangular shape 1/4 inch thick. Then you cut out the round biscuits. The remaining dough either goes to the dog or get reshaped into another rectangle for the next round of cutting.


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#5 CaptainEd

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Posted 16 January 2013 - 07:45 PM

Thanks, k-man. That makes perfect sense, and I don't see why I didn't get that from Y-san's exposition--I think I need more biscuits this morning...


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#6 jhawk

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Posted 16 January 2013 - 09:57 PM

Spoiler for Here's what I got


Sorry, can't get spoilere to work
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