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y 2x We are looking to build an open rectangular container, without a cover, having capacity 22 m , with the length of its base equal to twice that of its width, as in the diagram above. The material used for the base costs 60 dollars per square meter, and that used for the walls costs 20 dollars per square meter. We want to minimize cost. a) Give a formula for the volume of such a container, as an expression in the variables x and y in the diagram: Volume = 22 m³ = 2x^2y O BA m3 b) Give a formula for the cost of building such a container, as an expression in the variables x and y : Cost = 120x^2+60xy OA dollars. Now work out how to minimize the cost of the materials. c) What are the dimensions of such a container that minimize the cost of materials? Height of the container = 5.60 Width of the base = 1.40 FORMATTING: Give the values with an accuracy of at least two decimal places.

y 2x We are looking to build an open rectangular container, without a cover, having capacity 22 m , with the length of its base equal to twice that of its width, as in the diagram above. The material used for the base costs 60 dollars per square meter, and that used for the walls costs 20 dollars per square meter. We want to minimize cost. a) Give a formula for the volume of such a container, as an expression in the variables x and y in the diagram: Volume = 22 m³ = 2x^2y O BA m3 b) Give a formula for the cost of building such a container, as an expression in the variables x and y : Cost = 120x^2+60xy OA dollars. Now work out how to minimize the cost of the materials. c) What are the dimensions of such a container that minimize the cost of materials? Height of the container = 5.60 Width of the base = 1.40 FORMATTING: Give the values with an accuracy of at least two decimal places.

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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y 2x We are looking to build an open rectangular container, without a cover, having capacity 22 m³ , with the length of its base equal to twice that of its width, as in the diagram above. The material used for the base costs 60 dollars per square meter, and that used for the walls costs 20 dollars per square meter. We want to minimize cost. a) Give a formula for the volume of such a container, as an expression in the variables x and y in the diagram: Volume = 22 m³ = 2x^2y b) Give a formula for the cost of building such a container, as an expression in the variables x and y : Cost = 120x^2+60xy A dollars. Now work out how to minimize the cost of the materials. c) What are the dimensions of such a container that minimize the cost of materials? Height of the container = 5.60 m Width of the base = 1.40 m FORMATTING: Give the values with an accuracy of at least two decimal places.
Transcribed Image Text:y 2x We are looking to build an open rectangular container, without a cover, having capacity 22 m³ , with the length of its base equal to twice that of its width, as in the diagram above. The material used for the base costs 60 dollars per square meter, and that used for the walls costs 20 dollars per square meter. We want to minimize cost. a) Give a formula for the volume of such a container, as an expression in the variables x and y in the diagram: Volume = 22 m³ = 2x^2y b) Give a formula for the cost of building such a container, as an expression in the variables x and y : Cost = 120x^2+60xy A dollars. Now work out how to minimize the cost of the materials. c) What are the dimensions of such a container that minimize the cost of materials? Height of the container = 5.60 m Width of the base = 1.40 m FORMATTING: Give the values with an accuracy of at least two decimal places.
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