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If $a + 2 b + 3 c = 12, (a, b, c \in R^{+})$ ,then ${ab}^{2} c^{3}$ is

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Correct option is C

Given that,a+2b+3c=12and a, b, c are positive real numbersNow, AM≥GM⇒ a+b+b+c+c+c6≥ab2c36⇒ a+2b+3c6≥ab2c36⇒ab2c3≤26

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If a+2b+3c=12,a,b,c∈R+,then ab2c3 is

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If $a + 2 b + 3 c = 12, (a, b, c \in R^{+})$ ,then ${ab}^{2} c^{3}$ is