2. (55 points) Consider the following problem; min f(x, y) = (x-4)² + (y = 4)² subject to x + y ≤4 and x + 3y ≤ 9 a. (10 points) Discuss whether a solution exist for this problem. b. (10 points) Check "constraint qualification". (NDCQ). c. (15 points) Find the max through FoC. d. (15 points) Check SoC.