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Let 2p + 3q + 4r = 15 and if the expression p^3q^5r^7 takes the maximum value, then p:q:r is equal to

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Let 2p + 3q + 4r = 15 and if the expression p3q5r7 takes the maximum value, then p:q:r is equal to

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This can be done very easily using the AM - GM Inequality

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