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Suppose a home improvement contractor is painting the walls and ceiling of a rectangular room. The volume of the room is 405 cubic feet. The cost of wall paint is S0.048 per square foot and the cost of ceiling paint is $0.18 per square foot. Let x, y, and be the length, width, and height of a rectangular room respectively. Find the room dimensions that result in a minimum cost for the paint. Round your answers to two decimal places.

Suppose a home improvement contractor is painting the walls and ceiling of a rectangular room. The volume of the room is 405 cubic feet. The cost of wall paint is S0.048 per square foot and the cost of ceiling paint is $0.18 per square foot. Let x, y, and be the length, width, and height of a rectangular room respectively. Find the room dimensions that result in a minimum cost for the paint. Round your answers to two decimal places.

Intermediate Algebra
Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Functions
Section9.CR: Review Problem Set
Problem 37CR: A garden has 60 yards of fencing and wants to enclose a rectangular garden that requires fencing...
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Suppose a home improvement contractor is painting the walls and ceiling of a rectangular room. The volume of the room is 405 cubic feet. The cost of wall paint is $0.048 per square foot and the cost of ceiling paint is S0.18 per square foot. Let x, y, and be the length, width, and height of a rectangular room respectively. Find the room dimensions that result in a minimum cost for the paint. Round your answers to two decimal places.
Transcribed Image Text:Suppose a home improvement contractor is painting the walls and ceiling of a rectangular room. The volume of the room is 405 cubic feet. The cost of wall paint is $0.048 per square foot and the cost of ceiling paint is S0.18 per square foot. Let x, y, and be the length, width, and height of a rectangular room respectively. Find the room dimensions that result in a minimum cost for the paint. Round your answers to two decimal places.
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