Find the Maximum Value of the Function F (X,y,z)= 7x $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 596$

Multiple Choice

Find the maximum value of the function f (x,y,z) = 7x + 8y + 6z on the sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 596$ .

A) 298
B) 894
C) 1,043.0
D) 149