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A rectangular box is to have a square base and a volume of 48 ft3. If...

A rectangular box is to have a square base and a volume of 48 ft3. If the material for the base costs 4 cents per square foot, material for the top costs 20 cents per square foot, and the material for the sides costs 16 cents per square foot, determine the dimensions of the square base (in feet) that minimize the total cost of materials used in constructing the rectangular box.

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