A worker is to construct an open rectangular box with a square base and a volume of 147 ft3. If material for the bottom costs $6/ft2 and material for the sides costs $7/ft2 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.

Consider the given information about the box:

Answered: A worker is to construct an open…

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

Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...

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A worker is to construct an open rectangular box with a square base and a volume of 147 ft³. If material for the bottom costs $6/ft²and material for the sides costs $7/ft²what 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.

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