A rectangular storage tank with an open top is to have volume (20 m³). The length of the base is twice the width, see the figure. The Material of the base costs (20 $) per square meter. The material of the sides costs (10 $) per square meter. Use Lagrange multiplier method to find the optimum dimensions of a tank that give the minimum cost. h 2w Ans./ l= 3.914 W = 1.957 h - 2.61 A rectangular storage tank with an open top is to have volume (20 m³). Thelength of the base is twice the width, see the figure. The Material of the basecosts (20 $) per square meter. The material of the sides costs (10 $) persquare meter. Use Lagrange multiplier method to find the optimumdimensions of a tank that give the minimum cost.h2wWAns./ 1 3.914w = 1.957h - 2.61

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Answered: A rectangular storage tank with an open…

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 rectangular storage tank with an open top is to have volume (20 m³). The length of the base is twice the width, see the figure. The Material of the base costs (20 $) per square meter. The material of the sides costs (10 $) per square meter. Use Lagrange multiplier method to find the optimum dimensions of a tank that give the minimum cost. h 2w Ans./ l= 3.914 W = 1.957 h - 2.61

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