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Question

If x, y, z are positive, and x + y + z = 1, then the maximum value of xyz is


A

13

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B

15

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C

125

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D

127

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Solution

The correct option is D

127


For the 3 variables x,y,z

AM GM

x+y+z3 (xyz)13

13 (xyz)13

(xyz)13 13

xyz 127

So, the maximum value of xyz is 127


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