A closed rectangular box is made with two kinds of materials. The top and bottom are made with heavy-duty cardboard costing 20¢ per square foot, and the sides are made with lightweight cardboard costing 10¢ per square foot. Given that the box is to have a capacity of 2 cubic feet, what should its dimensions be if the cost is to be minimized?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.4: Linear Programming
Problem 29E
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A closed rectangular box is made with
two kinds of materials. The top and bottom are made with
heavy-duty cardboard costing 20¢ per square foot, and the
sides are made with lightweight cardboard costing 10¢ per
square foot. Given that the box is to have a capacity of
2 cubic feet, what should its dimensions be if the cost is to
be minimized?

31. Construction Cost A closed rectangular box is made with
two kinds of materials. The top and bottom are made with
heavy-duty cardboard costing 20¢ per square foot, and the
sides are made with lightweight cardboard costing 10¢ per
square foot. Given that the box is to have a capacity of
2 cubic feet, what should its dimensions be if the cost is to
be minimized? [HINT: See Example 4.]
Transcribed Image Text:31. Construction Cost A closed rectangular box is made with two kinds of materials. The top and bottom are made with heavy-duty cardboard costing 20¢ per square foot, and the sides are made with lightweight cardboard costing 10¢ per square foot. Given that the box is to have a capacity of 2 cubic feet, what should its dimensions be if the cost is to be minimized? [HINT: See Example 4.]
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