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If $2 p + 3 q + 4 r = 15$ then the maximum value of $p^{3} q^{5} r^{7}$ is

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Correct option is C

Since,2p3+2p3+2p3+3q5+…+3q5⏟5 times +4r7+…+4r7⏟7 times 15 ≥2p333q554r7715 [AM≥GM]⇒p3q5r7233547335577≤1⇒p3q5r7≤5577233247≤55772179

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If 2p+3q+4r=15 then the maximum value of p3q5r7 is

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If $2 p + 3 q + 4 r = 15$ then the maximum value of $p^{3} q^{5} r^{7}$ is