A student's final grade is determined by their hours of daily study. They have 24 hours available each day for study and free time. The trade-off they face is as follows: if they take 16 hours of free time, their final grade is 81. If they take 17 hours of free time, their final grade is 75. At their current situation of 16 hours of free time, their personal valuation is such that they would be willing to give up 4 points on their final grade to get one more hour of free time. Given this information, which statement accurately describes the student's situation?

Optimal Study-Leisure Choice

A self-sufficient farmer works 8 hours a day, leaving 16 hours for free time, and produces 10 bushels of grain. If she were to work 9 hours a day, she would produce 10.5 bushels. At her current situation (8 hours work, 10 bushels), her personal preference is such that she would be willing to give up 1 bushel of grain for one additional hour of free time.

Statement: Based on this information, the farmer could increase her overall satisfaction by working fewer hours.

Optimizing Work-Leisure Balance

An individual decides how to allocate their time between work and free time. For each scenario below, match the situation to the most logical conclusion about how the individual could improve their overall satisfaction.

Evaluating a Farmer's Work-Leisure Choice

Evaluating a Freelancer's Work-Leisure Decision

A student's trade-off for study is such that gaining one extra hour of free time results in a 3-point reduction in their final grade. At their current allocation of time, their personal valuation is that they would be willing to give up 5 points from their grade for one additional hour of free time. To improve their overall satisfaction, the student should take _________ free time.

Analyzing a Freelancer's Work-Life Balance

A software developer currently works 8 hours per day, leaving 16 hours of free time. In these 8 hours, they write 300 lines of code. If they were to work for 9 hours, they could write 340 lines of code. At their current 8-hour workday, their personal preference is such that they would be willing to give up one hour of free time only if it resulted in at least 25 additional lines of code.

Arrange the following steps in the correct logical order to determine how the developer could improve their overall satisfaction.