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Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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
Transcribed Image Text: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 = Tr h Area of the sides: A = 2rrh Area of the top/bottom: A =
Area of the top/bottom: A = Ar²
To minimize the cost of the package Find:
Radius:
cm
Height:
cm
Minimum cost: $
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