Midland Petroleum is holding a stockholders’ meeting next month. Ms. Ramsey is the president of the company and has the support of the existing board of directors. All 12 members of the board are up for reelection. Mr. Clark is a dissident stockholder. He controls proxies for 47,001 shares. Ms. Ramsey and her friends on the board control 57,001 shares. Other stockholders, whose loyalties are unknown, will be voting the remaining 21,998 shares. The company uses cumulative voting.
a. How many directors can Mr. Clark be sure of electing? (Do not round intermediate calculations. Round down your answer to the nearest whole number.)
b. How many directors can Ms. Ramsey and her friends be sure of electing? (Do not round intermediate calculations. Round down your answer to the nearest whole number.)
c-1. How many directors could Mr. Clark elect if he obtains all the proxies for the uncommitted votes? (Do not round intermediate calculations. Round down your answer to the nearest whole number.)
c. If nine directors were to be elected, and Ms. Ramsey and her friends had 71,001 shares and Mr. Clark had 49,001 shares plus half the uncommitted votes, how many directors could Mr. Clark elect? (Do not round intermediate calculations. Round down your answer to the nearest whole number.)
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