Optimization Problem

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revisisland24

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Apr 23, 2013
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Hey guys,
I've been stuck on this for hours.

A rectangular piece of cardboard measures 1 meter by 1/2 meter. Squares are to be cut out from each corner of the rectangle and the sides folded up to make an open-top-box. Determine the dimensions of the box with the largest possible volume.

Can you guys please show your work? I want to know how to do this properly! Thanks a lot.
 
revisisland24 said:
Hey guys,
I've been stuck on this for hours.

A rectangular piece of cardboard measures 1 meter by 1/2 meter. Squares are to be cut out from each corner of the rectangle and the sides folded up to make an open-top-box. Determine the dimensions of the box with the largest possible volume.

Can you guys please show your work? I want to know how to do this properly! Thanks a lot.
Click to expand...

Take a look at Example 2 in this link.

http://faculty.wlc.edu/buelow/calc/nt4-6.html
 
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