Question 32
Consider the set
$$
A = \{(x, y, z) \mid x, y, z \in \mathbb{R}, 88(x+y+z) = 33(xy+xz+yz) = 24(x^2+y^2+z^2) \neq 0\}.
$$
$$
\text{Determine } \max_{(x,y,z) \in A} (\max\{x, y, z\} - \min\{x, y, z\}).
$$
$$
A = \{(x, y, z) \mid x, y, z \in \mathbb{R}, 88(x+y+z) = 33(xy+xz+yz) = 24(x^2+y^2+z^2) \neq 0\}.
$$
$$
\text{Determine } \max_{(x,y,z) \in A} (\max\{x, y, z\} - \min\{x, y, z\}).
$$