pls be with all the steps and in a clean write

5. (20 pts) Suppose that a society consists of three groups (A, B, C) choosing among four altematives produce the consequences x, y, z and w. The utilities in the four cases are given as follows: Individual Utilities: A B C X 10 5 4. Y 9 9 3 Z 2 7 11 W 1 6. 5 a) What is the alternative that wins with the majority voting? b) What is the alternative that wins with the Borda method? c) What is the alternative that maximizes an utilitarian social welfare function? d) What is the alternative that maximizes Rawlsian function