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Optimization problem

  1. Apr 18, 2010 #1
    1.http://www.teachingcenter.ufl.edu/materials/math_lab/oldtests/FA09_MAC2311_exam4ab.pdf [Broken] Number 2



    2. Maxamize XY subject to , y=sqrt(x)



    3. I dont know what numbers to use...
     
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. Apr 18, 2010 #2

    hotvette

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    The first thing you need to do is determine what is to be maximized and write an equation for it. It's pretty clear from the sketch (and it isn't xy).
     
  4. Apr 18, 2010 #3
    Maxamize Area. Area =(9-x)y
     
  5. Apr 18, 2010 #4

    hotvette

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    OK, correct. These types of problems are single variable optimization problems. The expression you have for area has x and y. How would you express area in terms of x only?
     
    Last edited: Apr 18, 2010
  6. Apr 18, 2010 #5
    OK so , A'= 9-3x
    x=3
    I plug X into A= (9-x)(sqrt(x))
    So the Area is 6*sqrt(3).
     
  7. Apr 18, 2010 #6

    hotvette

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    Correct.
     
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