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A closed rectangular box with a volume of 162ft is made from two kinds of materials. The top and bottom are made of material cos 84 cents per square foot and the sides from material costing 14 cents per square foot. Use Lagrange multipliers to find the dimensic of the box so that the cost of materials is minimized. Assume that w < I. i ft W = i ft h = i ft

A closed rectangular box with a volume of 162ft is made from two kinds of materials. The top and bottom are made of material cos 84 cents per square foot and the sides from material costing 14 cents per square foot. Use Lagrange multipliers to find the dimensic of the box so that the cost of materials is minimized. Assume that w < I. i ft W = i ft h = i ft

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A closed rectangular box with a volume of 162ft is made from two kinds of materials. The top and bottom are made of material cos 84 cents per square foot and the sides from material costing 14 cents per square foot. Use Lagrange multipliers to find the dimensic of the box so that the cost of materials is minimized. Assume that w < l. = i ft W = i ft h = i ft
Transcribed Image Text:A closed rectangular box with a volume of 162ft is made from two kinds of materials. The top and bottom are made of material cos 84 cents per square foot and the sides from material costing 14 cents per square foot. Use Lagrange multipliers to find the dimensic of the box so that the cost of materials is minimized. Assume that w < l. = i ft W = i ft h = i ft
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