Mr. Michaels controls proxies for 45,000 of the 84,000 outstanding shares of Northern Airlines. Mr. Baker heads a dissident group that controls the remaining 39,000 shares. There are twelve board members to be elected and cumulative voting rules apply. Michaels does not understand cumulative voting and plans to cast 180,000 of his 315,000 (45,000 × 7) votes for his brother-in-law, Scott. His remaining votes will be spread evenly for five other candidates.
How many directors can Baker elect if Michaels acts as described above? Assume Mr. Baker casts an equal number of votes for each open position. (Do not round intermediate calculations and input your answer as a whole number.)