Question: A closed box in the form of a rectangular parallelepiped with a square base is to have a given volume. If the material used in

A closed box in the form of a rectangular parallelepiped with a square base is to have a given volume. If the material used in the bottom costs 20% more per square inch than the material in the sides, and the material in the top costs 50% more per square inch than that of the sides, find the most economical pro-portions for the box.

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