Budget Constraint Graph (Fig. 3.6) vs. Income Function Graph (Fig. 3.3)
The budget constraint graph, such as the one in Figure 3.6, is a mirror image of the income function graph, like in Figure 3.3. While both are straight lines whose steepness is determined by the wage rate, they slope in opposite directions. The income function slopes upward, showing that more work hours lead to more income. Conversely, the budget constraint slopes downward, indicating that more free time results in less maximum possible consumption. The slope of the budget constraint is therefore negative, equal to the negative of the wage rate.
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Budget Constraint Graph (Fig. 3.6) vs. Income Function Graph (Fig. 3.3)
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Budget Constraint Graph (Fig. 3.6) vs. Income Function Graph (Fig. 3.3)
Learn After
An individual earns a constant wage for each hour they work. Consider two different graphs representing this situation:
- Graph A: Plots total income on the vertical axis against hours worked on the horizontal axis.
- Graph B: Plots maximum possible consumption (which is equal to income) on the vertical axis against hours of free time on the horizontal axis, out of a total of 24 available hours per day.
How do the slopes of the lines on these two graphs relate to the hourly wage?
Evaluating Work-Leisure Graphs
An individual's financial situation is represented by two graphs: one plotting total income against hours worked, and another plotting maximum consumption against hours of free time. If this individual's hourly wage increases, the slope of the income graph becomes steeper, while the slope of the consumption graph becomes flatter.
Interpreting Economic Trade-off Graphs
An individual's choice between work and leisure can be represented graphically in two ways. Match each characteristic below to the correct type of graph: the 'Income Function' (which plots income against hours worked) or the 'Budget Constraint' (which plots consumption against hours of free time).
Evaluating an Economic Model
An individual's daily income (I) is determined by the number of hours they work (L) at a constant hourly wage. This relationship is represented by the equation: I = 15L.
This same individual's daily consumption possibilities (c) can be represented as a function of their hours of free time (t), assuming they spend all their income on consumption and have 24 hours available each day.
Which of the following equations correctly represents the relationship between their maximum possible consumption and their free time?
Explaining Mirrored Economic Graphs
An economist creates two graphs to represent an individual's daily earning and spending possibilities, based on a constant hourly wage. Graph A plots 'Daily Income' against 'Hours of Work'. Graph B plots 'Maximum Daily Consumption' against 'Hours of Free Time' (out of 24 total hours). Both graphs depict a straight line. Which statement best describes the relationship between the lines on Graph A and Graph B?
Critiquing Economic Models of Work and Leisure