A worker is to construct an open rectangular box with a square base and a volume of 27 ft°. If material for the bottom costs $6/ft and material for the sides costs $3/ft, what dimensions will result in the least expensive box? What is the minimum cost? Let x be the length of one side of the base of the box. Express the total cost of the materials, C, in terms of x. C(x) =

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
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A worker is to construct an open rectangular box with a square base and a volume of 27 ft°. If material for the bottom costs $6/ft and material for the sides costs $3/ft", what dimensions will result in the
least expensive box? What is the minimum cost?
Let x be the length of one side of the base of the box. Express the total cost of the materials, C, in terms of x.
C(x) =]
Transcribed Image Text:A worker is to construct an open rectangular box with a square base and a volume of 27 ft°. If material for the bottom costs $6/ft and material for the sides costs $3/ft", what dimensions will result in the least expensive box? What is the minimum cost? Let x be the length of one side of the base of the box. Express the total cost of the materials, C, in terms of x. C(x) =]
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