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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 ab2c36\sqrt [ 6 ] { a b ^ { 2 } c ^ { 3 } }

̃ a+2b+3c6\frac { a + 2 b + 3 c } { 6 }³ ab2c36\sqrt [ 6 ] { a b ^ { 2 } c ^ { 3 } }

̃ a b2c3 £ 26.