Suppose a firm has a$15\mathrm{.}3$million shares of common stock outstanding and six candidates are up for election to four seats on the board of directors.

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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?