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An open-top rectangular box is being constructed to hold a volume of 400 in3. The base...

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 10 cents/in2. The remainder of the sides will cost 2 cents/in2.

Find the dimensions that will minimize the cost of constructing this box.

Front width:

Depth:

Height:

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