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Math Help - minimizing the cost of making a box with an open top

  1. #1
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    minimizing the cost of making a box with an open top

    a box is made with a square bottom and open top to hold a volume of 8ft3. the material for the sides cost $4 per square foot and the material for the bottom costs $1 per square foot. What dimensions will minimize the cost of the box?
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    Re: minimizing the cost of making a box with an open top

    what equations have you come up with from the given problem statement?
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    Re: minimizing the cost of making a box with an open top

    Let "x" be the length of each side of the base and "y" be the height. What is the volume in terms of x and y? What is the total area in terms of x and y?
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    Re: minimizing the cost of making a box with an open top

    how do you solve a volume with 2 variables???
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    Re: minimizing the cost of making a box with an open top

    Quote Originally Posted by OceanicBlue View Post
    how do you solve a volume with 2 variables???
    you come up with two equations ... the object equation (cost) and constraint equation (volume).
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