A carpenter wants to build a rectangular box with square sides in which to put round things. The material for the bottom costs $20/sq it, material for the sides costs $10/ft, and the material for the top costs $50/sq ft. If the volume of the box must be 5 cu ft, then find the dimensions that will minimize the cost (and find the minimum cost) I need all the stes please

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 carpenter wants to build a rectangular
box with square sides in which to put
round things. The material for the bottom
costs $20/sq it, material for the sides
costs $10/ft, and the material for the top
costs $50/sq ft. If the volume of the box
must be 5 cu ft, then find the dimensions
that will minimize the cost (and find the
minimum cost)
I need all the stes please
Transcribed Image Text:A carpenter wants to build a rectangular box with square sides in which to put round things. The material for the bottom costs $20/sq it, material for the sides costs $10/ft, and the material for the top costs $50/sq ft. If the volume of the box must be 5 cu ft, then find the dimensions that will minimize the cost (and find the minimum cost) I need all the stes please
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