Tutorial Question 5 Consider the functions f : Ri -> R, g : R) -> R, and h : R - R that are defined by f (X1, X2, X3) 4 In (x1) + 2x2 + 8X3, 9 (X1, X2, X3) = 8 - X1 - X2 - 2x3, and h (X1, X2, 13) = 1 - (0.5) x1 - 3. Maximise f (X1, X2, X3) subject to the constraints that g (X1, X2, X3) = 0 and h (1, X2, X3) = 0