A rectangular box with a square base and a cover is to have a volume of 2500 cubic feet. If the cost

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A rectangular box with a square base and a cover is to have a volume of 2500 cubic feet. If the cost of material is $2 per square foot for the bottom, $3 per square foot for the top, and $1 per square foot for the sides, what should the dimensions of the box be in order to minimize the cost?
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