An open-top rectangular box is being constructed to hold a volume of 150 in3. The base of the box is made from a material costing 8 cents/in2. The front of the box must be decorated, and will cost 10...

An open-top rectangular box is being constructed to hold a volume of 150 in3. The base of the box is made from a material costing 8 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: in.
Depth: in.
Height: in