A can of soup with a volume of 500 cm³ is to be designed and produced. The material for the top of the can costs 0.4¢/cm², while the material for the bottom and sides costs 0.2¢/cm². Determine the dimensions that will minimize the cost of producing the can of soup.

A can of soup with a volume of 500 cm³ is to be designed and produced. The material for the top of the can costs 0.4¢/cm², while the material for the bottom and sides costs 0.2¢/cm². Determine the dimensions that will minimize the cost of producing the can of soup.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.1: Prisms, Area And Volume

Problem 27E: The box with dimensions indicated is to be constructed of materials that cost 1 cent per square inch...

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Question

A can of soup with a volume of 500 cm³ is to
be designed and produced. The material for
the top of the can costs 0.4¢/cm², while the
material for the bottom and sides costs
0.2¢/cm². Determine the dimensions that will
minimize the cost of producing the can of
soup. [

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