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 5 cents/in². The front of the box must be decorated, and will cost 11 cents/in². The remainder of the sides will cost 4 cents/in². Find the dimensions that will minimize the cost of constructing this box. Please show your answers to at least 4 decimal places. Front width: Depth: Height: in. in. 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 5 cents/in². The front of the box must be decorated, and will cost 11 cents/in². The remainder of the sides will cost 4 cents/in². Find the dimensions that will minimize the cost of constructing this box. Please show your answers to at least 4 decimal places. Front width: Depth: Height: in. in. 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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![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 5 cents/in². The front of the box must be decorated, and will cost 11 cents/in².
The remainder of the sides will cost 4 cents/in².
Find the dimensions that will minimize the cost of constructing this box. Please show your answers to at
least 4 decimal places.
Front width:
Depth:
Height:
in.
in.
in.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4502ad76-029d-4512-814c-251a152b6281%2Ff080e586-0e75-406c-b83a-5eb544f8767f%2Flrgqmrp_processed.png&w=3840&q=75)
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 5 cents/in². The front of the box must be decorated, and will cost 11 cents/in².
The remainder of the sides will cost 4 cents/in².
Find the dimensions that will minimize the cost of constructing this box. Please show your answers to at
least 4 decimal places.
Front width:
Depth:
Height:
in.
in.
in.
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