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Problem 3: A company is designing a new container for its product. The container must have a volume of 1600cm3 and a cylindrical shape. The material used to make the sides of the container costs $0.01/cm?. The material used to make the top and bottom of the container is a little thicker and costs $0.02/cm?. Find the dimensions (height and radius) that will minimize the cost of making each container.

Problem 3: A company is designing a new container for its product. The container must have a volume of 1600cm3 and a cylindrical shape. The material used to make the sides of the container costs $0.01/cm?. The material used to make the top and bottom of the container is a little thicker and costs $0.02/cm?. Find the dimensions (height and radius) that will minimize the cost of making each container.

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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Problem 3: A company is designing a new container for its product. The container must have a volume of 1600cm and a cylindrical shape. The material used to make the sides of the container costs $0.01/cm?. The material used to make the top and bottom of the container is a little thicker and costs $0.02/cm?. Find the dimensions (height and radius) that will minimize the cost of making each container.
Transcribed Image Text:Problem 3: A company is designing a new container for its product. The container must have a volume of 1600cm and a cylindrical shape. The material used to make the sides of the container costs $0.01/cm?. The material used to make the top and bottom of the container is a little thicker and costs $0.02/cm?. Find the dimensions (height and radius) that will minimize the cost of making each container.
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