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Calculus1
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A square-based box-shaped shipping crate is designed to have a volume of 16ft^3. The material used to make the base costs 2x as much (per square foot) as the material in the sides, and the material used to make the top costs half as much as the material in the sides. What are the dimensions of the crate that minimize the cost of the materials?
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A plot and solution using Mathematica 9 is attached.
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