Utility Function u(t,c) = t(c+600) Where a Wage Increase Always Reduces Free Time

Utility Function u(t,c) = t(c-200) Where the Dominant Effect Depends on Unearned Income

An individual's preferences for daily consumption (c) and hours of free time (t) are described by the utility function u(t, c) = c + 20√t. This person's only source of income is their wage from working. If their hourly wage rate experiences a significant increase, what will be the resulting change in their desired number of hours of free time?

Evaluating a Wage-Based Policy

Contrasting Responses to a Wage Increase

Divergent Labor Supply Responses

The way an individual adjusts their work hours in response to a wage change is determined by their unique preferences for consumption and free time. Match each description of an individual's preferences with the corresponding change in their desired work hours after a significant wage increase.

For any individual whose preferences for consumption and free time can be described by a well-behaved utility function, an increase in their hourly wage will always lead them to choose fewer hours of free time.

Predicting Labor Supply Responses

Analyzing Labor Supply Behavior

Two individuals, Alex and Blair, have identical jobs, earn the same hourly wage, and possess the same amount of non-labor income. After both receive an identical, significant wage increase, Alex decides to work more hours, while Blair decides to work fewer hours. What can be concluded from this observation?

Designing Preferences for a Labor Policy Goal