mizing Construction Costs An open rectangular box is to have a volume of 768 ft³. If the material for its base costs three times as much (per square foot) as the material for its sides, what are the nsions of the box that can be constructed at the minimum cost? (Let / represent the length in feet, w the width in feet, and h the height in feet.) - h) =

Calculus: Early Transcendentals
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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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Minimizing Construction Costs An open rectangular box is to have a volume of 768 ft³. If the material for its base costs three times as much (per square foot) as the material for its sides, what are the
dimensions of the box that can be constructed at the minimum cost? (Let / represent the length in feet, w the width in feet, and h the height in feet.)
(1, w, h) =
Transcribed Image Text:Minimizing Construction Costs An open rectangular box is to have a volume of 768 ft³. If the material for its base costs three times as much (per square foot) as the material for its sides, what are the dimensions of the box that can be constructed at the minimum cost? (Let / represent the length in feet, w the width in feet, and h the height in feet.) (1, w, h) =
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