Question

Find the absolute maximum and minimum
values of f(x, y, z) = xyz(1 - x2 - y2 - z2) on
the tetrahedron bounded by x = 0, y = 0, z =
0, and x + y + z = 2.
A) maximum 1
512
, minimum 0
B) maximum 1
128
, minimum 0
C) maximum 1
256
, minimum 0
D) maximum 1
64
, minimum 0
E) none of the above