Suppose a firm has $51$ million shares of common stock outstanding and ten

candidates are up for election to eight 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?

$($For all requirements, enter your answers in dollars, not millions of dollars.$)$