4. (Exam #1, 2021) There are three students {1,2,3} and three schools {S(superior), A(average), B(bad)}. Each school has one slot. Students have the same ordinal preferences; see the left table below. S is the most preferred, followed by A, and then B. However, they have different utilities; see the right table. For example, the utility from matching with S is 8 for students 1 and 2, but 6 for student 3. P1, P2, P3 S A B , 2 U U2 U3 6 8 20 8 20 4 0 0 0