If a+b+c=3 and agt0, bgt0, cgt0 then the...

If `a+b+c=3 and agt0, bgt0, cgt0` then the greatest value of `a^2b^3c^2=` (A) `(3^2)(2^3)(7^2)` (B) `(3^10 2^4)/7^7` (C) `(3^7 2^5)/7^2` (D) `(3^7 2^4)/7^7`

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