Question: The base of a rectangular box is to be twice as long as it is wide. The volume of the box is 256 cubic inches.

The base of a rectangular box is to be twice as long as it is wide. The volume of the box is 256 cubic inches. The material for the top costs $0.10 per square inch and the material for the sides and bottom costs $0.05 per square inch. Find the dimensions that will make the cost a minimum.

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