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/in?. The front of the box must be decorated, and will cost 10 cents/in?. The remainder of the sides will cost 2 cents/in?. Find the dimensions that will minimize the cost of constructing this box. Round your answers to two decimal places as needed. Front width: in. Depth: in. Height: in.
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/in?. The front of the box must be decorated, and will cost 10 cents/in?. The remainder of the sides will cost 2 cents/in?. Find the dimensions that will minimize the cost of constructing this box. Round your answers to two decimal places as needed. Front width: in. Depth: in. Height: in.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text: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/in?. The front of the box must be decorated, and
will cost 10 cents/in?. The remainder of the sides will cost 2 cents/in?.
Find the dimensions that will minimize the cost of constructing this box. Round your answers to
two decimal places as needed.
Front width:
in.
Depth:
in.
Height:
in.
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