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Optimisation using calculus

  1. Mar 17, 2013 #1
    1. The problem statement, all variables and given/known data
    SEE QUESTION IMAGE


    2. Relevant equations
    SEE ABOVE


    3. The attempt at a solution
    SEE WORKINGS IMAGE
     

    Attached Files:

  2. jcsd
  3. Mar 17, 2013 #2

    ehild

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    Gold Member

    Can you type in your work?

    ehild
     
  4. Mar 17, 2013 #3
    Sorry that my handwritiing is too messy and scan isn't done right. Just trying to get this done ASAP.

    (25-2x)(40-2x)

    y=(25-2x)(-2)+(40-2x)(-2)
    =-50+4x-40+2x
    =-90+6x
    x=15

    Not sure what to next do.
     
  5. Mar 17, 2013 #4

    Ray Vickson

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    Is x the length of the corner pieces cut out? If so, you need to define it in words; a formulation without an explanation is worth 0.

    Also, is (25-2x)*(40-2x) the thing you want to maximize? Why? What does the box look like if you use your proposed solution of x = 15?
     
  6. Mar 17, 2013 #5

    eumyang

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    You mean y', not y.

    Also, I'm guessing that you want to maximize the volume. If so, then
    y = (25-2x)(40-2x)
    as the volume equation would be wrong. You're missing the height. What would it be?
     
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