Q1 Consider the following maximization problem max x 1 0 x 3

Last updated: 3/30/2023

Q1 Consider the following maximization problem max x 1 0 x 3 3 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 2 3 1 Solve the problem graphically 2 Now set up the Lagrangian function u for x 0 and A for x 3 and find all pairs x A 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