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 12 cents/in². The remainder of the sides will cost 4 cents/in?. Find the dimensions that will minimize the cost of constructing this box. Front width: in. Depth: in. Height: in.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter81: Introduction To Computer Numerical Control (cnc)
Section: Chapter Questions
Problem 4A: A rectangular solid has length L=12.6 mm, width W=23.8 mm, and height H=32.5 mm. Find the length of...
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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 12
cents/in?. The remainder of the sides will cost 4 cents/in?.
Find the dimensions that will minimize the cost of constructing this box.
Front width:
in.
Depth:
in.
Height:
in.
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 12 cents/in?. The remainder of the sides will cost 4 cents/in?. Find the dimensions that will minimize the cost of constructing this box. Front width: in. Depth: in. Height: in.
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