Suppose the ABC Company has 100 outstanding shares is about elect 9 new board of directors and you want to elect some of your friends to serve in the board. For simplicity, assume that your friend gets a seat if he/she gets the same number of votes as your opponent's candidates. (a) (8pt) If the company uses straight voting, then effectively the board seats are up for election one at a time, and the majority wins each time. (i) (4pt) What is the minimum number of shares X in order to guarantee that at least one your friends is elected? Please explain why X is minimum and why it can provide the guarantee. (ii) (4pt) What is the minimum number of shares X in order to guarantee that all your friends are elected? Please explain why X is minimum and why it can provide the guarantee