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Suppose that Crystal is a diligent hard-working second-year college student. One Wednesday, she decides to start the day by working through 150 practice problems to
Suppose that Crystal is a diligent hard-working second-year college student. One Wednesday, she decides to start the day by working through 150 practice problems to study for the informatics class. Using a table to track her progress throughout the day, she notices that as the hours pass, it takes her longer to solve the problems. Time Total Problems Solved 7:00 AM 0 8:00 AM 60 9:00 AM 105 10:00 AM 135 11:00 AM 150 Use the table to answer the following questions. The marginal, or additional, gain from Piper's first hour spent working, from 7:00 AM to 8:00 AM, is 60 problems. The marginal gain from Piper's third hour spent working, from 9:00 AM to 10:00 AM, is 30 problems. The following week, Piper's informatics faculty advisor gives her some advice. In all their years of teaching they claim to observe that working on 52.5 multiple choice questions boosts a student's test score by about the same amount as spending an hour reviewing lecture notes. For simplicity, assume students are able to review lecture notes at a constant pace during each hour spent studying. Given this information, in order to use her 4 hours of time spent studying to get the highest possible test score, how many hours should she have spent solving multiple choice problems, and how many hours should she have spent reviewing lecture notes? 0 hours working on problems, 4 hours reading 1 hour working on problems, 3 hours reading 2 hours working on problems, 2 hours reading 3 hours working on problems, 1 h
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