Increasing Variables

Calculus Level 2

It is given that S=ab+cd+1e S=\frac{a}{b} + \frac{c}{d} + \frac{1}{e} , where 0<a<b<c<d<e 0 < a < b < c < d < e .

For which variable, would adding 1 to the value of it, increase SS by the greatest amount?

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