We want to build a closed-top rectangular box made of two types of material. The material for the four vertical sides costs $3 per square centimeter. The material for the top and bottom sides costs $2 per square centimeter. The base of the box is a square. Let å be its side length. Let y be the height of the box. If the volume must be 2250 cubic centimeters, what are the dimensions that will minimize the total cost?
We want to build a closed-top rectangular box made of two types of material. The material for the four vertical sides costs $3 per square centimeter. The material for the top and bottom sides costs $2 per square centimeter. The base of the box is a square. Let å be its side length. Let y be the height of the box. If the volume must be 2250 cubic centimeters, what are the dimensions that will minimize the total cost?
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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Transcribed Image Text:We want to build a closed-top rectangular box made of two types of material. The material for the four vertical sides
costs $3 per square centimeter. The material for the top and bottom sides costs $2 per square centimeter. The base of
the box is a square. Let x be its side length. Let y be the height of the box. If the volume must be 2250 cubic
centimeters, what are the dimensions that will minimize the total cost?
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