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Rectangular container optimization

  1. Apr 8, 2010 #1
    1. The problem statement, all variables and given/known data
    A rectangular storage container with an open top is to have a volume of 10 m^3. The length of this base is twice the width. Material for the base costs $10 per square meter. Material for the sides costs $6 per square meter. Find the cost of materials for the cheapest such container.


    2. Relevant equations

    See below

    3. The attempt at a solution
    I have my worked out (but wrong) solution here: http://img510.imageshack.us/img510/7963/calchw.jpg [Broken]
    For some reason I keep getting a negative answer. I really have no idea what I'm doing wrong.
     
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. Apr 9, 2010 #2

    hotvette

    User Avatar
    Homework Helper

    Your expression for y in terms of x isn't correct.
     
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