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.   Find C(x) The Length of one side of the box's base is  The height of the box is The minimum cost of the shed it $

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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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/ftand material for the sides costs ​$7​/ftwhat 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.

 

Find C(x)

The Length of one side of the box's base is 

The height of the box is

The minimum cost of the shed it $

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