This article shows how to work both analytically and numerically to find the global maximum of
w = ƒ(x, y, z) ≡ x2(1 + x) + y2(1 + y) + z2(1 + z)
in that part of the first octant on, or below, the plane x + y + z = 6.
Maple Tips & Techniques
Dr. Robert Lopez