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A Closed Rectangular Box with Square Ends Is to Be $x ^ { 2 }$

Question 118

Multiple Choice

A closed rectangular box with square ends is to be designed so that the surface area of the box is minimized. [Note: Surface area = 2 $x ^ { 2 }$ + 4xy.] It is required that the volume be 32 cubic inches. Which of the following is the Lagrange function F(x, y, λ) for this problem? $A closed rectangular box with square ends is to be designed so that the surface area of the box is minimized. [Note: Surface area = 2 x ^ { 2 } + 4xy.] It is required that the volume be 32 cubic inches. Which of the following is the Lagrange function F(x, y, λ) for this problem? A) 2 x ^ { 2 } + 4xy + λ(32) B) ( x ^ { 2 } y - 32) + λ(2 x ^ { 2 } + 4xy) C) 2 x ^ { 2 } + 4xy + λ( x ^ { 2 } y - 32) D) x ^ { 2 } y + λ(2 x ^ { 2 } + 4xy - 32) E) none of these$

A) 2 $x ^ { 2 }$ + 4xy + λ(32)
B) ( $x ^ { 2 }$ y - 32) + λ(2 $x ^ { 2 }$ + 4xy)
C) 2 $x ^ { 2 }$ + 4xy + λ( $x ^ { 2 }$ y - 32)
D) $x ^ { 2 }$ y + λ(2 $x ^ { 2 }$ + 4xy - 32)
E) none of these

A Closed Rectangular Box with Square Ends Is to Be x2x ^ { 2 }x2

Multiple Choice

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A Closed Rectangular Box with Square Ends Is to Be $x ^ { 2 }$

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