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A square-based, box-shaped shipping crate is designed to have a volume of 16ft3 . The material used to make the base costs twice as much

A square-based, box-shaped shipping crate is designed to have a volume of 16ft3 . The material used to make the base costs twice as much (per square foot) as the material used in the sides, and the material used to make the top costs half as much (per square foot) as the material in the sides. What are the dimensions of the crate that minimize the cost of the materials?

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