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.)
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 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.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F225b3ea5-1600-4908-aa63-c458fb6867ea%2F1735484b-8866-4a91-9e53-f1fef6573b3c%2Fpm0ubh7_processed.png&w=3840&q=75)
Transcribed Image Text: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.)
Transcribed Image Text: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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