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A cylindrical container that is open at the top is to be made from two kinds of material. The material for the side costs 20 pesos per cm² while the material for the base costs 5 pesos per cm?. If the container is to have a volume of 8t cm³, what must be its dimensions so that the cost of construction is as small as possible?

A cylindrical container that is open at the top is to be made from two kinds of material. The material for the side costs 20 pesos per cm² while the material for the base costs 5 pesos per cm?. If the container is to have a volume of 8t cm³, what must be its dimensions so that the cost of construction is as small as possible?

Calculus: Early Transcendentals
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 cylindrical container that is open at the top is to be made from two kinds of material. The material for the side costs 20 pesos per cm? while the material for the base costs 5 pesos per cm?. If the container is to have a volume of 8Tt cm3, what must be its dimensions so that the cost of construction is as small as possible?
Transcribed Image Text:A cylindrical container that is open at the top is to be made from two kinds of material. The material for the side costs 20 pesos per cm? while the material for the base costs 5 pesos per cm?. If the container is to have a volume of 8Tt cm3, what must be its dimensions so that the cost of construction is as small as possible?
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