A closed rectangular box with square ends is to be designed so that the surface area of the box is minimized. [Note: Surface area = 2x2 + 4xy.] It is required that the volume be 32 cubic inches. Which of the following is the Lagrange function F(x, y, ?) for this problem? 
A. 2x2 + 4xy + ?(32)
B. 2x2 + 4xy + ?(x2y - 32)
C. (x2y - 32) + ?(2x2 + 4xy)
D. x2y + ?(2x2 + 4xy - 32)
E. none of these
Answer: B
Mathematics
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