Question: A closed rectangular box with a square base is to be constructed using two different types of wood. The top is made of wood costing

A closed rectangular box with a square base is to be constructed using two different types of wood. The top is made of wood costing $3 per square foot and the remainder is made of wood costing $1 per square foot. If $48 is available to spend, find the dimensions of the box of greatest volume that can be constructed.

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