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an open-top rectangular box is being constructed to hold a volume of 400 in3. the base of the box is made from a material costing 7 cents/in2. the front of the box must be decorated, and will cost 9 cents/in2. the remainder of the sides will cost 2 cents/in2. find the dimensions that will minimize the cost of constructing this box. please show your answers to at least 4 decimal places.

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