A company is desgining a rectangular box with a closed top and a square base. The volume of the box must be 100 cubic inches. The cost of the material used for the top and the bottom of the box is $10 per square inch and the cost of the material used for the sides is $6 per square inch. Determine the dimensions of the box that would minimize cost.

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
Chapter4: Polynomials
Section4.5: Multiplying Polynomials By Monimials
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A company is desgining a rectangular box with a closed top and a square base. The volume of the box must be 100 cubic inches. The cost of the material used for the top and the bottom of the box is $10 per square inch and the cost of the material used for the sides is $6 per square inch. Determine the dimensions of the box that would minimize cost.

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