Brooke Bentley, a student in business administration, is trying to decide which management science course to take next quarter—I, II, or III. “Steamboat” Fulton, “Death” Ray, and “Sadistic” Scott are the three management science professors who teach the courses. Brooke does not know who will teach what course. Brooke can expect a different grade in each of the courses, depending on who teaches it next quarter, as shown in the following payoff table:

Determine the best course to take next quarter, using the following criteria.
a. Maximax
b. Maximin

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Course Fulton I B II C III F Professor Ray D B A Scott D F C