In the system of approval voting each voter may vote for as many candidates as s

In the system of approval voting each voter may vote for as many candidates as she wishes. If there are three candidates a voter may vote for 12 or 3 candidates. The winner is the candidate receiving the most votes (listed on the ballots of the most citizens). Each voter has strict preferences over the candidates (such as preferring candidate 3 to candidate 2 to candidate 1 with no indifference).A) Show that any action that includes a vote for ones least preferred candidate is weakly dominated.B) Show that any action that does not include a vote for ones most preferred candidate is weakly dominated.C) Suppose voter A prefers candidate 1 to 2 to 3 to 4 (where there are 4 candidates). Show that all actions that consist of voting for up to three candidates and not skipping a lower numbered candidate are not weakly dominated (voting for 1 only voting for 1 and 2 or voting for 12 and 3 are not weakly dominated.Please use payoff matricies to illustrate the answers.