2. (from an old exam) If you are given an optimal primal solution x* to an LP and you wish to deduce an optimal dual solution y*, then you might try to determine y* using (1) Complementary Slackness of y* with x* (2) y* satisfies constraints (including positivity constraints if any) in dual, i.e. y* is a feasible solution of the dual.. Many of our examples in class and quizzes yielded unique optimal y* but in general there may be many optimal dual solutions. Are all possible y* satisfying (1),(2) optimal to the dual? Is every optimal dual solution y* determined as a solution to (1),(2)? Explain