Part a)
For positive real numbers x, y, z and what is the maximum possible value for
\( \sqrt{\frac{3x+4y}{6x+5y+4z}} + \sqrt{\frac{y+2z}{6x+5y+4z}} + \sqrt{\frac{2z+3x}{6x+5y+4z}}? \)
Part b)
Find \(\frac {z} {x}\) if \((x, y, z)\) is a triple that gives the maximum value in Part a.
