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Question Number 214454 by hardmath last updated on 09/Dec/24

$$\mathrm{a},\mathrm{b},\mathrm{c}\in {\mathbb{R}}^{+}$$$$\mathrm{S}=\frac{9\mathrm{a}}{\mathrm{b}+\mathrm{c}}+\frac{16\mathrm{b}}{\mathrm{a}+\mathrm{c}}+\frac{49\mathrm{c}}{\mathrm{a}+\mathrm{b}}$$$$\mathbf{min}\left(\mathrm{S}\right)=?$$

Commented by Ghisom last updated on 09/Dec/24

$$S>24$$$$\min \left(S\right)\mathrm{does}\mathrm{not}\mathrm{exist}\mathrm{for}a,b,c>0$$

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