Suppose a firm has $15$ million shares of common stock outstanding and six candidates are up for election to five 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 of one member

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 of one member to

the board?

$($For all requirements, enter your answers in whole numbers, not millions.$)$