Find the Maximum Value of the Function F (X, Y $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 360$

Multiple Choice

Find the maximum value of the function f (x, y, z) = 4x + 5y + 7z on the sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 360$ .

A) 630
B) 480.0
C) 90
D) 180