Apple's board currently has eight directors. It currently has 5 billion shares outstand- ing. You would like to buy enough shares to elect half of its board.
(a) Under majority voting, how many shares do you need to purchase?
(b) If Apple has cumulative voting, how many shares should you purchase?
(c) How many shares should you purchase if you would like to ensure that you can elect one director to its board (rather than half of the board), assuming that Apple has cumulative voting?