Question: (50 points) Consider the maximization problem with the objective function ,y and the constraint, x3y3=9xy.(a) Find the stationary points, using the Lagrange multiplier method.(b) Explain

(50 points) Consider the maximization problem with the objective function ,y and the constraint, x3y3=9xy.(a) Find the stationary points, using the Lagrange multiplier method.(b) Explain why the points (x,y) you have found in a) are where an implicit function y=f(x) does not exist.(c) For the stationary point(s), say whether it is a local maximum, a local minimum, or whether you cannot tell using the principal minor tests seen in class.Please show your work on PAPER, not just text.

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