Question 3 Given the following constrained optimization problem: Minimize Y = 4x + 3x, x2 +6xz subje

Question 3 Given the following constrained optimization problem: Minimize Y = 4x + 3x, x2 +6xz subject to x, + x2 = 56 a) Write out the Lagrangian for this problem. (1 mark) b) Use the Lagrange multiplier method to calculate the values of X1 and X2 that will minimize y. (4 marks) c) Verify that the second order conditions for a minimum are satisfied. (3 marks) Question 4 a) Compute the first- and second-order partial derivatives of the function defined by f(x ,x,)=4x -6x x +3x (4 marks) b) Find the stationary points. (4 marks) c) Classify the stationary points. (3 marks)