A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 250 cubic centimeters of soup. The sides and bottom of the container will be made of styrofoam costing 7 (.07) cents per square centimeter. The top will be made of glued paper, costing 9 (.09) cents per square centimeter. Find the dimensions for the package that will minimize production cost. Volume of a cylinder: V Trh Area of the sides: A = 2rrh Area of the top/bottom: A = Tr Area of the top/bottom: A = To minimize the cost of the package Find: Radius: cm Height: cm Minimum cost: $

A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 250 cubic centimeters of soup. The sides and bottom of the container will be made of styrofoam costing 7 (.07) cents per square centimeter. The top will be made of glued paper, costing 9 (.09) cents per square centimeter. Find the dimensions for the package that will minimize production cost. Volume of a cylinder: V Trh Area of the sides: A = 2rrh Area of the top/bottom: A = Tr Area of the top/bottom: A = To minimize the cost of the package Find: Radius: cm Height: cm Minimum cost: $

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Exponential And Logarithmic Functions

Section: Chapter Questions

Problem 22PS: In a classroom designed for 30 students, the air conditioning system can move 450 cubic feet of air...

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