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Question

If a, b, c are positive real numbers such that a + b + c = 18, then maximum value of a2b3c4 will be
  1. 21832.4
  2. 217.32.42
  3. 21933.
  4. 21833.


Solution

The correct option is C 21933.

Given 2.a2+3.b3+4.c4=18

Now

AMGM

2.a2+3.b3+4.c49((a2)2(b3)3(c4)4)19

(189)9(a2)2(b3)3(c4)4

29.22.33.44a2b3c4

a2b3c4219.33

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