2 Problem 2 of 6 (15 pts). Consider the ellipsoid + z2 = 1. Part A) Use the method of Lagrange multipliers to find the maximum value of the function f (x, y, z) = 8xyz on the ellipsoid. Part B) Let F(x, y, z) = (x, y, z). Find the maximum possible flux of F through the surface of a rectangular prism inscribed in the ellipsoid. For each part, explain your reasoning and/or show each step leading to your solution