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 2 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: Question Help: Video Submit Question 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 7 cents/in². The front of the box must be decorated, and will cost 12 cents/in². The remainder of the sides will cost 2 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: Question Help: Video Submit Question 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 7 cents/in². The front of the box must be decorated, and will cost 12 cents/in². The remainder of the sides will cost 2 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: [Input Box] in.
- Depth: [Input Box] in.
- Height: [Input Box] in.
Question Help: [Video Link]
[Submit Question Button]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9c62a616-6a2f-456f-ac81-c6090d5022b3%2F722834b5-8a0b-4e5b-8d9f-9e8578c38450%2Ftj8gn5c_processed.jpeg&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 7 cents/in². The front of the box must be decorated, and will cost 12 cents/in². The remainder of the sides will cost 2 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: [Input Box] in.
- Depth: [Input Box] in.
- Height: [Input Box] in.
Question Help: [Video Link]
[Submit Question Button]
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