Suppose a corporation has five stockholders. One had 45% of the shares, another has 35% of the shares, the third stockholder has 10% of the shares, and the last two shareholders each own 5% of the shares. Suppose the corporation uses a weighted voting system in which the weights of the stockholders are proportional to the shares held and that it order for a motion to pass, it must receive at least 60% of the votes.

List this as a weighted voting system, using appropriate notation.

Which, if any, of the stockholders are dummies?

Which, if any, of the stockholders have veto power?