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OpenStudy (hpfan101):
A rectangular box is to be built with a square base. The volume of the box must be 1000 ft^3. The length of the base must be at least 2 ft but not more than 20 ft. The material for the sides costs $8 per square foot. The material for the top and base also costs $8 per square foot. What dimensions of the box would result in the greatest total cost?
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