Represent the situation as a game and find the optimal strategy for each player. State your final answer in the terms of the original question. In a section of Freshman Composition at your college, the English professor gives a daily quiz on either vocabulary or writing, and allows his students to bring either a dictionary or a grammar textbook (but not both) to use during the quiz. Joe estimates that if he brings a dictionary, he can get a 80 on a vocabulary quiz but only an 50 on a paragraph revision, while with his grammar textbook, he can get a 70 on the revision but only a 40 on the vocabulary quiz.
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What grade can he be expected to earn?
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