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Let-a-b-c-gt-0-If-a-b-b-gt-7-b-c-c-lt-8-Find-min-a-b-c-




Question Number 176773 by Ar Brandon last updated on 26/Sep/22
Let a, b, c >0. If   ((a−b)/b)>7, ((b+c)/c)<8,   Find min(a+b+c)
$$\mathrm{Let}\:{a},\:{b},\:{c}\:>\mathrm{0}.\:\mathrm{If}\: \\ $$$$\frac{{a}−{b}}{{b}}>\mathrm{7},\:\frac{{b}+{c}}{{c}}<\mathrm{8},\: \\ $$$$\mathrm{Find}\:\mathrm{min}\left({a}+{b}+{c}\right)\: \\ $$
Commented by Ar Brandon last updated on 26/Sep/22
OK, Sir. Thanks
Commented by mr W last updated on 26/Sep/22
0<a+b+c<+∞  i think there are no min and no max.
$$\mathrm{0}<{a}+{b}+{c}<+\infty \\ $$$${i}\:{think}\:{there}\:{are}\:{no}\:{min}\:{and}\:{no}\:{max}. \\ $$

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