Y by Adventure10
Let
be real nonzero numbers such that
and
Compute the largest possible value of
.
Proposed by Tristan Shin


![\[\frac{1}{a}+\frac{1}{b}+\frac{1}{c}+\frac{1}{abc}=1.\]](http://latex.artofproblemsolving.com/6/d/a/6da709be271e908a29f5a90b71e5ff8f499c6fbb.png)

Proposed by Tristan Shin
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