An open-top box is to have a square base and a volume of 10 m3 . The cost per square meter of material is 5 dollars for the bottom and 2 dollars for the four sides. Let x and y be lengths of the box’s width and height respectively. Let C be the total cost of material required to make the box. Find the dimensions of the box so that the cost of materials is minimized. What is this minimum 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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An open-top box is to have a square base and a volume of 10 m3
. The cost per square meter of
material is 5 dollars for the bottom and 2 dollars for the four sides. Let x and y be lengths of the
box’s width and height respectively. Let C be the total cost of material required to make the box.
Find the dimensions of the box so that the cost of materials is minimized. What is this minimum cost?

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