Shipping crates A square-based, box-shaped shipping crate isdesigned to have a volume of 16 ft3. The material used to makethe base costs twice as much (per square foot) as the material inthe sides, and the material used to make the top costs half as much(per square foot) as the material in the sides. What are the dimensionsof the crate that minimize the cost of materials?
Shipping crates A square-based, box-shaped shipping crate isdesigned to have a volume of 16 ft3. The material used to makethe base costs twice as much (per square foot) as the material inthe sides, and the material used to make the top costs half as much(per square foot) as the material in the sides. What are the dimensionsof the crate that minimize the cost of materials?
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter61: Areas Of Circles, Sectors, And Segments
Section: Chapter Questions
Problem 50A
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Shipping crates A square-based, box-shaped shipping crate is
designed to have a volume of 16 ft3. The material used to make
the base costs twice as much (per square foot) as the material in
the sides, and the material used to make the top costs half as much
(per square foot) as the material in the sides. What are the dimensions
of the crate that minimize the cost of materials?
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