A company manufactures cylindrical tin cans with closed tops with a volume of 400 cubic centimeters. The metal used to manufacture the cans costs $0.01 per square centimeter for the sides and $0.02 per square centimeter for the (thicker) top and bottom. What should be the dimensions of the cans to minimize the cost of metal in their production? HINT [See Example 4.] (Round your answers to two decimal places.) radius cm height cm What is the ratio height/radius? (Round your answer to two decimal places.)

A company manufactures cylindrical tin cans with closed tops with a volume of 400 cubic centimeters. The metal used to manufacture the cans costs $0.01 per square centimeter for the sides and $0.02 per square centimeter for the (thicker) top and bottom. What should be the dimensions of the cans to minimize the cost of metal in their production? HINT [See Example 4.] (Round your answers to two decimal places.) radius cm height cm What is the ratio height/radius? (Round your answer to two decimal places.)

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Description: A company manufactures cylindrical tin cans with closed tops with a volume of 400 cubic centimeters. The metal used to manufacture the cans costs $0.01 per square centimeter for the sides and$0.02 per square centimeter for the (thicker) top and bott

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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Question

A company manufactures cylindrical tin cans with closed tops with a volume of 400 cubic centimeters. The metal used to manufacture the cans costs $0.01 per square centimeter for the sides and
$0.02 per square centimeter for the (thicker) top and bottom. What should be the dimensions of the cans to minimize the cost of metal in their production? HINT [See Example 4.] (Round your
answers to two decimal places.)
radius
cm
height
cm
What is the ratio height/radius? (Round your answer to two decimal places.)

Fair Weather Airlines has a peculiar rule about luggage. It will accept only bags for which the sum of the length / and width w is at most 30 inches, while the sum of length /, height h, and twice the
width w is at most 60 inches. What are the dimensions of the bag with the largest volume that Fair Weather will accept?
in
W =
in
h =
in

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