Suppose a firm has $65$ million shares of common stock outstanding and

eight candidates are up for election to six seats on the board of directors.

a$.$ If the firm uses cumulative voting to elect its board, what is the minimum

number of votes needed to ensure election to the board?

b$.$ If the firm uses straight voting to elect its board, what is the minimum

number of votes needed to ensure election to the board?

Note: For all requirements, enter your answers in whole numbers, not

millions.