An open-top rectangular box is being constructed to hold a volume of 250 in ³. The base of the box made from a material costing 6 cents/in². The front of the box must be decorated, and will cost 11 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: in. 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 250 in ³. The base of the box is
made from a material costing 6 cents/in². The front of the box must be decorated, and will cost 11
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:
in.
in.
in.
Transcribed Image Text:An open-top rectangular box is being constructed to hold a volume of 250 in ³. The base of the box is made from a material costing 6 cents/in². The front of the box must be decorated, and will cost 11 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: in. in. in.
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