An individual has determined their optimal balance of daily free time and consumption, based on their hourly wage. At this point, the rate at which they are willing to trade an hour of free time for additional consumption is exactly equal to their wage rate. If this individual's employer raises their hourly wage, and we observe that they subsequently choose to work fewer hours, what can be inferred about their preferences?

Analyzing an Individual's Work-Leisure Decision

Explaining the Optimal Work-Leisure Balance

Consider an individual deciding how many hours to work. They are currently at a point where the amount of consumption they would be willing to give up for an additional hour of free time is less than their hourly wage. To increase their overall satisfaction, what should this individual do?

In the model for choosing between hours of work and free time, an individual's decision is based on their preferences and constraints. Match each key term from the model to its correct description.

An individual choosing between work and free time will maximize their overall satisfaction at a point where the personal value they place on an extra hour of leisure is substantially higher than the hourly wage they could earn.

Evaluating a Policy with the Work-Leisure Model

An individual is choosing their optimal combination of daily consumption and free time. Their budget constraint defines all affordable combinations. Their preferences are shown by a series of indifference curves, where higher curves represent greater satisfaction. Consider the following points:

• Point A: Lies on the budget constraint and also on a lower indifference curve.
• Point B: Lies where the budget constraint is just tangent to the highest possible indifference curve.
• Point C: Lies on an even higher indifference curve than Point B, but is located outside the budget constraint.
• Point D: Lies inside the budget constraint, on the same indifference curve as Point A.

Which point represents the individual's utility-maximizing choice?

In the economic model of choosing between work and free time, the optimal combination is found where the slope of the indifference curve, known as the ____, is equal to the slope of the budget constraint.

Arrange the following steps in the logical order used to model an individual's optimal choice between free time and consumption.