Let $a, b, c$ and $d$ be positive real numbers such that $a+b$ $+c+d=11$. If the maximum value of $a^5 b^3 c^2 d$ is $3750 \beta$, then the value of $\beta$ is [JEE Main 2023, 11 Apr (Shift 2)]

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Let \(a, b, c\) and \(d\) be positive real numbers such that \(a+b\) \(+c+d=11\). If the maximum value of \(a^5 b^3 c^2 …

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