Could you please help me solve the question below:

Question 2. (38 points) (0.) Suppose the following: 7r is function of Q1, Q2 and Q3: 7r = 4sz 11622 + Q2Q3 + @1623 + 9% + Q3, i) (3 points) Write down the rst order conditions. ii) (20 points) Rewrite (i) in its matrix form and nd the stationary point (Q1, Q2, Q3). Find the optimum USING ALL of the following methods: Gaussian elimination, Cramer's rule and inverse matrix. iii) (7 points) Use Hessian Matrix and its leading principle minors to determine if this optimum is at maximum or minimum or neither. (b) (8 points) Find the extreme value and determine if at the point the function is at maximum, minimum or neither. i) f(:r:, y, z) = 3:2 + 3y2 3mg + 4yz + 62:2