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24-25. A box with a rectangular base and rectangular sides is open at the top. It is to be constructed so that its width is 4 feet and its volume is 36 cubic feet. If constructing the box costs P10 per square feet for the base and P5 per square feet for the sides, what are the dimensions of the box that gives a minimum cost? A) 1 ft by 3 ft by 12 ft B) 2 ft by 3 ft by 6 ft C) 2 ft by 2 ft by 9 ft D) 3 ft by 3 ft by 4ft

24-25. A box with a rectangular base and rectangular sides is open at the top. It is to be constructed so that its width is 4 feet and its volume is 36 cubic feet. If constructing the box costs P10 per square feet for the base and P5 per square feet for the sides, what are the dimensions of the box that gives a minimum cost? A) 1 ft by 3 ft by 12 ft B) 2 ft by 3 ft by 6 ft C) 2 ft by 2 ft by 9 ft D) 3 ft by 3 ft by 4ft

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter5: Factoring Polynomials
Section5.13: Using Factoring To Solve Problems
Problem 32P
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24-25. A box with a rectangular base and rectangular sides is open at the top. It is to be constructed so that its width is 4 feet and its volume is 36 cubic feet. If constructing the box costs P10 per square feet for the base and P5 per square feet for the sides, what are the dimensions of the box that gives a minimum cost? A) 1 ft by 3 ft by 12 ft B) 2 ft by 3 ft by 6 ft C) 2 ft by 2 ft by 9 ft D) 3 ft by 3 ft by 4ft
Transcribed Image Text:24-25. A box with a rectangular base and rectangular sides is open at the top. It is to be constructed so that its width is 4 feet and its volume is 36 cubic feet. If constructing the box costs P10 per square feet for the base and P5 per square feet for the sides, what are the dimensions of the box that gives a minimum cost? A) 1 ft by 3 ft by 12 ft B) 2 ft by 3 ft by 6 ft C) 2 ft by 2 ft by 9 ft D) 3 ft by 3 ft by 4ft
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