1) The Betty Moore Company requires that its beef stew containers have a capacity of 64 in3., have the shape of right circular cylinders, and be made of aluminum. Determine the radius and height of the container the requires the least amount of metal.
1) The Betty Moore Company requires that its beef stew containers have a capacity of 64 in3., have the shape of right circular cylinders, and be made of aluminum. Determine the radius and height of the container the requires the least amount of metal.
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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Answer each of these optimization questions. Identify what is to be optimized, what is the constraint,
and show all necessary work in solving these questions.

Transcribed Image Text:Answer each of these optimization questions. Identify what is to be optimized, what is the constraint,
and show all necessary work in solving these questions.
1) The Betty Moore Company requires that its beef stew containers have a capacity of 64 in3.,
have the shape of right circular cylinders, and be made of aluminum. Determine the radius and
height of the container the requires the least amount of metal.
2) An open box constructed from a tin sheet has a square base and a volume of 216 in cubed. Find
the dimensions of the box, assuming that the minimum amount of material was used in its
construction.
3) An apple orchard has an average yield of 36 bushels of apples per tree if the tree density is 22
trees per acre. For each unit increase in tree density, the yield decreases by 2 bushels per tree.
How many trees per acre should be planted to maximize the yield?
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