A rectangular storage tank with an open top is to have volume (20 m'). The length of the base is twice the width, see the figure. The Material of the base costs (20 S) 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. Ans/ I-3.914 w 1.957 h = 2.61

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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9 c 5
و تعديل
A rectangular storage tank with an open top is to have volume (20 m'). 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./ I 3.914
w = 1.957
h= 2.61
تمويه
رش الألوان
فلتر
اقتصاص
تدویر
O
A
Transcribed Image Text:9 c 5 و تعديل A rectangular storage tank with an open top is to have volume (20 m'). 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./ I 3.914 w = 1.957 h= 2.61 تمويه رش الألوان فلتر اقتصاص تدویر O A
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