An open-top rectangular box is being constructed to hold a volume of 400 in³. The base of the box is made from a material costing 6 cents/in?. The front of the box must be decorated, and will cost 11 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.
An open-top rectangular box is being constructed to hold a volume of 400 in³. The base of the box is made from a material costing 6 cents/in?. The front of the box must be decorated, and will cost 11 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.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![An open-top rectangular box is being constructed to hold a volume of 400 in³. The base of the box is made
from a material costing 6 cents/in?. The front of the box must be decorated, and will cost 11 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd9dde35b-b227-4cc6-9b6e-1ff481315c8c%2F20194d6c-4ff0-4f51-8560-6281eac0e40d%2Faahe0k_processed.png&w=3840&q=75)
Transcribed Image Text:An open-top rectangular box is being constructed to hold a volume of 400 in³. The base of the box is made
from a material costing 6 cents/in?. The front of the box must be decorated, and will cost 11 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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