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3. A cylindrical chemical storage tank with a capacity of 1000 m³ is going to be constructed in a warehouse that is 12 m by 15 m, with a height of 11 m. The specifications call for the base to be made of sheet steel that costs $90 m², the top to be made of sheet steel that costs $50 m², and the wall to be made of sheet steel that costs $60 m². Determine the proportions that meet the conditions and that minimize the cost of the steel for construction.

3. A cylindrical chemical storage tank with a capacity of 1000 m³ is going to be constructed in a warehouse that is 12 m by 15 m, with a height of 11 m. The specifications call for the base to be made of sheet steel that costs $90 m², the top to be made of sheet steel that costs $50 m², and the wall to be made of sheet steel that costs $60 m². Determine the proportions that meet the conditions and that minimize the cost of the steel for construction.

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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3. A cylindrical chemical storage tank with a capacity of 1000 m³ is going to be constructed in a warehouse that is 12 m by 15 m, with a height of 11 m. The specifications call for the base to be made of sheet steel that costs $90 m², the top to be made of sheet steel that costs $50 m², and the wall to be made of sheet steel that costs $60 m². Determine the proportions that meet the conditions and that minimize the cost of the steel for construction.
Transcribed Image Text:3. A cylindrical chemical storage tank with a capacity of 1000 m³ is going to be constructed in a warehouse that is 12 m by 15 m, with a height of 11 m. The specifications call for the base to be made of sheet steel that costs $90 m², the top to be made of sheet steel that costs $50 m², and the wall to be made of sheet steel that costs $60 m². Determine the proportions that meet the conditions and that minimize the cost of the steel for construction.
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