Consider the maximization problem max r s.t. z +1 = 9xy Ty (note, the objective function in simply f(x,y) = z). If by any chance your answer contains roots without rational answers, just leave them as is (e.g. f,/i._') do not compute a numerical approximation. . o ) review the implicit function theorem! a) (6 points) Find the stationary points, using the Lagrange multiplier method. b) (4 peints) The bonus question on the midterm exam was \"Find all the points on the fum of Descartes where an implicit function y = f(z) does not exist.\" Explain why the stationary points (z,y) you have found in a) are the same as the answer to this bonus