Incentive to Increase Free Time when MRT < MRS
When an individual is at a point on the feasible frontier where the Marginal Rate of Transformation (MRT) is less than their Marginal Rate of Substitution (MRS), they have an incentive to increase their free time. This inequality (MRT < MRS) signifies that the amount of grain they must give up to gain an hour of free time is less than the amount they are willing to give up. Consequently, they can achieve a higher level of utility by taking more free time and accepting a smaller amount of grain.
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Introduction to Microeconomics Course
The Economy 2.0 Microeconomics @ CORE Econ
Ch.3 Doing the best you can: Scarcity, wellbeing, and working hours - The Economy 2.0 Microeconomics @ CORE Econ
Ch.5 The rules of the game: Who gets what and why - The Economy 2.0 Microeconomics @ CORE Econ
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Incentive to Increase Free Time when MRT < MRS
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A farmer is choosing an allocation of free time and grain produced. At their current position on the feasible frontier, the slope of their indifference curve is steeper than the slope of the feasible frontier. To increase their utility, the farmer should work more hours.
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An individual is choosing between 'leisure hours' (on the horizontal axis) and 'consumption goods' (on the vertical axis). They are currently at a point on their feasible frontier where their indifference curve intersects the frontier from above, meaning the indifference curve is flatter than the feasible frontier at this point. What does this situation imply, and what should the individual do to increase their utility?
An individual makes choices between consuming goods (on the vertical axis) and enjoying free time (on the horizontal axis), constrained by a feasible frontier. Match each described relationship between their personal trade-off (the slope of the indifference curve) and the actual trade-off (the slope of the feasible frontier) with the resulting incentive to change their allocation.
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Learn After
A farmer is currently working 8 hours a day, which produces 10 bushels of grain and leaves 16 hours of free time. At this level of work, the farmer finds that working one additional hour would produce 1.5 extra bushels of grain. However, based on personal preference for leisure, the farmer would be willing to give up 2 bushels of grain to have one more hour of free time. To maximize personal satisfaction, what should the farmer do?
An individual is currently at a point where the amount of a good they must forgo to gain an additional hour of leisure is 4 units. Their personal preference is such that they would be willing to forgo up to 6 units of the good for that same additional hour of leisure. To increase their overall satisfaction, this individual should work more hours.
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A student is deciding how to allocate their time between studying (which improves their final grade) and leisure. For each scenario below, match the relationship between the student's trade-offs with the action that would increase their overall satisfaction.
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A freelance writer currently works 9 hours a day, earning $450. They calculate that working one hour less would reduce their earnings by $50. However, when considering their personal preference for leisure, they feel that an extra hour of free time is worth as much as $70 to them. Arrange the following steps in the logical order of the decision-making process the writer should follow to improve their overall satisfaction.
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