Let f(x, y, z) = x² + 2y² + 4z². Find the point on the plane x + y + z = 14 at which f has its smallest value. A) (8, 4, 2) B) (0, 0, 14) C) (1, 2, 11) E) (2, 4, 8)

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The Answer of Let f(x, y, z) = x² + 2y² + 4z². Find the point on the plane x + y + z = 14 at which f has its smallest value. A) (8, 4, 2) B) (0, 0, 14) C) (1, 2, 11) E) (2, 4, 8)

Let F(x, Y, Z) = X2 + 2y2 + 4z2

Let F(x, Y, Z) = X² + 2y² + 4z²