Question

The marginal, or additional, gain from Malika’s second hour spent working, from 8:00 AM to 9:00 AM, is problems. The marginal gain from Malika’s fourth hour spent working, from 10:00 AM to 11:00 AM, is problems. The following week, Malika’s statistics faculty advisor gives her some advice. In all their years of teaching they claim to observe that working on 105 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?

          The marginal, or additional, gain from Malika’s second hour spent working, from 8:00 AM to 9:00 AM, is problems.
The marginal gain from Malika’s fourth hour spent working, from 10:00 AM to 11:00 AM, is problems.
The following week, Malika’s statistics faculty advisor gives her some advice. In all their years of teaching they claim to observe that working on 105 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?

Added by Gregory L.

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