Question
Use the table to answer the following questions. The marginal, or additional, gain from Bella's first hour spent working, from 7:00 AM to 8:00 AM, is 120 problems. The marginal gain from Bella's third hour spent working, from 9:00 AM to 10:00 AM, is 60 problems. The following week, Bella's statistics faculty advisor gives her some advice. In all their years of teaching they claim to observe that working on 105 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 lecture notes. Form sime 3 hours working on problems, 1 hour reading 4 hours working on problems, 0 hours reading
Ask by Joseph Bartlett.
Mar 22,2025 21:27
UpStudy AI Solution
Tutor-Verified Answer
Answer
Bella should spend **1 hour solving problems** and **3 hours reviewing lecture notes** to maximize her test score.
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The Deep Dive
Hey there! To maximize Bella’s test score, let’s bust out some numbers. The marginal gains from her first and third hour indicate that solving problems yields more benefits early on—120 problems in the first hour versus only 60 in the third. Since her advisor suggests a constant review pace of 105 notes per hour, it’s worth balancing between problem-solving and reviewing.
Now, given that Bella gets higher returns from problem-solving initially, she should spend her first 2 hours solving problems (gaining 120 + 60 = 180 problems) and the last 2 hours reviewing notes (which would net her 210 problems). So the glorious mix? Two hours on problems and two on reviewing notes would give her the best shot at acing that test! Having the right balance is key to conquering study time like a champion!
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