Q1 Consider the following maximization problem: max (x-1) 2 33] Note that f(x) = (x-1) is a continuous function, and the feasible set x = [0, }}}] is compact. Recall, in this case, there must be at least one solution! (1) Solve the problem graphically. (2) Now, set up the Lagrangian function ( for x 0 and X for x 3/3) and find all pairs (x, , ) satisfying the KKT first-order necessary conditions. (3) Each pair you found in (2) provides a candidate for optimal x (again, at least one of them must be optimal). Can you tell which one is the optimal? Check if your answer is consistent with (1).