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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./ 1 3.914 w = 1.957 h = 2.61

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./ 1 3.914 w = 1.957 h = 2.61

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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يجب أن يكون حجم الخزان المستطيل ذو القمة المفتوحة (20 متر مكعب). طول القاعدة ضعف العرض ، انظر الشكل. تكاليف المادة الأساسية (20 دولار) للمتر المربع. تكلفة مادة ال جوانب (10 دولارات) للمتر المربع. استخدم طريقة مضاعف لاجرانج لإيجاد الأبعاد المثلى للخزان التي تعطي أقل تكلفة. 2 واط Ans. / 1 ​​3.914 واط - 1.957 ساعة 2.61
سؤال ثاني 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. 2w Ans./ 1= 3.914 w x 1.957 h 2.61
Transcribed Image Text:سؤال ثاني 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. 2w Ans./ 1= 3.914 w x 1.957 h 2.61
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