An open-top rectangular box is being constructed to hold a volume of 300 in³. The base of the box is made from a material costing 5 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: Question Help: Video in. in. in. 20/04/2023 09:51

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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An open-top rectangular box is being constructed to hold a volume of 300 in³. The base of the box is made
from a material costing 5 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:
Question Help: Video
in.
in.
in.
20/04/2023 09:51
Transcribed Image Text:An open-top rectangular box is being constructed to hold a volume of 300 in³. The base of the box is made from a material costing 5 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: Question Help: Video in. in. in. 20/04/2023 09:51
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