$\textbf{Find Max. and Min. value of the expression}\\\\ $\mathbf{f(x)=\sum_{k=0}^{27}\left\{^{27}C_{k}.\left(\frac{x}{100}\right)^k}.\left(\frac{100-x}{100}\right)^{27-k}.\left(80k-23x\right)\right\}$.\textbf{Where} $\mathbf{x\in[0,100]}$
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