A worker is to construct an open rectangular box with the square base and volume of 12 ft.³. If material for the bottom cost 6$/ft^2 immature for the sides cost $2/ft^2, What dimensions will result in the least expensive box And what is the minimum cost?

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids
Section: Chapter Questions
Problem 79A
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A worker is to construct an open rectangular box with the square base and volume of 12 ft.³. If material for the bottom cost 6$/ft^2 immature for the sides cost $2/ft^2, What dimensions will result in the least expensive box And what is the minimum cost?
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