# Find Tuong's minimum

Algebra Level 5

Let $$x, y,z$$, and $$t$$ be positive real numbers such that $$x + y + z + t = 1$$. What is the minimum value of

$\frac{1}{x} + \frac{1}{y} + \frac{4}{z} + \frac{16}{t}?$

This problem is posed by Tuong N.

×