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  • Figure 3.6: Karim's Budget Constraint and Feasible Set

Calculating the Slope of the Budget Constraint

The slope of a budget constraint is calculated by dividing the vertical change (the change in consumption) by the horizontal change (the change in free time). For a budget constraint where the wage is €30, an increase of one hour in free time corresponds to a €30 decrease in consumption, which results in a slope of -30. \begin{align} \text{slope} &= \frac{\text{vertical change}}{\text{horizontal change}} \ &= \frac{-30}{1} \ &= -30 \end{align}

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Science

Economy

CORE Econ

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Economics

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

Related

  • A Feasible but Suboptimal Choice (Point D)

  • Suboptimality of Choices Below the Budget Constraint

  • Activity: Analyzing the Effect of a Wage Increase on Karim's Budget Constraint

  • Figure E3.2: Marina’s Feasible Frontier

  • Calculating the Slope of the Budget Constraint

  • Plotting a Budget Constraint from Tabulated Data

  • The Budget Constraint Equation for Figure 3.6

  • Budget Constraint Graph (Fig. 3.6) vs. Income Function Graph (Fig. 3.3)

  • Infeasible Choices Above the Budget Constraint

Learn After

  • Consider an individual's daily trade-off between consumption (funded by work) and free time. If this individual's hourly wage rate increases, how does this change the budget constraint line when consumption is plotted on the vertical axis and free time is on the horizontal axis?

  • Calculating and Interpreting the Budget Constraint Slope

  • Applying the Budget Constraint Slope Concept

  • An individual earns an hourly wage of $25. When plotting their budget constraint with consumption on the vertical axis and hours of free time on the horizontal axis, the slope of the budget constraint line is 25.

  • An individual has 24 hours per day to allocate between work and free time. They earn an hourly wage of $45. If their budget constraint is plotted with daily consumption on the vertical axis and daily hours of free time on the horizontal axis, the slope of the line will be ____.

  • An individual allocates their 24 hours per day between work (which funds consumption) and free time. Match each scenario described below with the correct numerical slope of the individual's budget constraint. Assume consumption is plotted on the vertical axis and free time is on the horizontal axis.

  • Deconstructing the Slope of the Budget Constraint

  • An individual's choices between daily consumption (c) and hours of free time (t) are limited by a budget constraint represented by the equation c = 600 - 25t. Based on this equation, what is the opportunity cost of one hour of free time for this individual?

  • An individual faces a trade-off between daily consumption and hours of free time, represented by a linear budget constraint. Two combinations on their budget constraint are: (1) 10 hours of free time and $280 of consumption, and (2) 14 hours of free time and $160 of consumption. Based on this information, what is the individual's hourly wage rate?

  • Analyzing Changes to a Budget Constraint