An open rectangular box having a volume of 4in3 is to be constructed from a tin sheet. Find the dimensions of such a box if the amount of material used in its construction is to be minimal.
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Hint: Let the dimensions of the box be x by y by z. Then, xyz = 108 and the amount of material used is given by S = xy + 2yz + 2xz. Show that
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Minimize f(x, y)
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A. x = 1; y = 1; z = 2
B. x = 2; y = 2; z = 1
C. x = 2; y = 1; z = 1
D. x = 2; y = 1; z = 2
Answer: B
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A. -8 B. 5 C. Does not exist D. 0
Fill in the missing factor to complete the equation.
A. 
B. 
C. 
D. 
E. 