Question
Question: If a + 2b + 3c = 12 (a, b, c Î R<sup>+</sup>) then ab<sup>2</sup>c<sup>3</sup> is –...
If a + 2b + 3c = 12 (a, b, c Î R+) then ab2c3 is –
A
³ 23
B
³ 26
C
£ 26
D
None of these
Answer
£ 26
Explanation
Solution
AM ³ GM ³ 6ab2c3
̃ 6a+2b+3c³ 6ab2c3
̃ a b2c3 £ 26.