Given a student's indifference map, we will always find that the optimal allocation of time for studying for final exams is situated at a tangency point between an indifference curve and the time constraint line.

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This is a basic principle in microeconomics. The point of tangency represents the best possible combination of goods (in this case, time spent studying and time spent on other activities) that maximizes the student's utility, subject to the constraint of limited time.

Given a Student's Indifference Map, We Will Always Find That