Question: An open-top rectangular box is being constructed to hold a volume of 200 in 3 . The base of the box is made from a
An open-top rectangular box is being constructed to hold a volume of 200 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 10 cents/in2. The remainder of the sides will cost 4 cents/in2.
Find the dimensions that will minimize the cost of constructing this box.
Front width: in.
Depth: in.
Height: in.
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