Interpreting Stability in an Agricultural Economy Model
Consider a graphical model of a simple agricultural economy. The model includes a downward-sloping curve representing the average output of food per farmer as the number of farmers changes, and a horizontal line representing the minimum amount of food required for a farmer to survive (subsistence level). Explain the economic significance of the point where these two lines intersect. In your explanation, describe what this intersection implies for the population size and the average living standard in this economy, and why the economy would tend to remain at this point.
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Malthus's Argument: Why Technological Improvements Fail to Raise Living Standards
In a model of a pre-industrial economy, the average output of food per farmer depends on the total number of farmers working a fixed amount of land. As the number of farmers increases, the average output per farmer falls. A graph for this economy would show a downward-sloping curve for 'Average Output per Farmer' against the 'Number of Farmers'. A horizontal line on the same graph represents the 'Subsistence Output,' which is the minimum amount of food a farmer needs to survive. Suppose the current population of farmers is at a level where the 'Average Output per Farmer' curve is above the 'Subsistence Output' line. Which of the following outcomes is most likely to occur over time?
Analyzing Equilibrium in a Simple Economic Model
Analyzing Equilibrium in a Simple Agricultural Economy
In a graphical model of a simple agricultural economy where output per worker is plotted against the total number of workers, match each graphical element to its correct economic description.
Consider a graphical model of a simple agricultural economy where a downward-sloping curve represents the average output per farmer and a horizontal line represents the minimum output needed for survival. In this model, if the current population of farmers is smaller than the population at which these two lines intersect, the population is expected to decrease over time.
Interpreting Stability in an Agricultural Economy Model
In a graphical model of a pre-industrial economy, the point where the downward-sloping average product of labor curve intersects with the horizontal subsistence income line represents a(n) __________, a state where the population size is stable.
Predicting Population Change in an Agricultural Economy
Consider a simple agricultural economy where a fixed amount of land is cultivated. The economy is in a stable state where the average output per farmer is exactly equal to the minimum amount needed for survival. A new, more efficient plowing technique is widely adopted, increasing the amount of food produced for any given number of farmers. Based on the internal logic of this economic model, what is the most likely long-run consequence of this technological improvement?
Malthusian Population Dynamics and Stable Equilibrium
Effect of Technological Improvement on the Average Product of Labor in the Malthusian Model
A simple agricultural economy has a fixed amount of land. Arrange the following events in the correct logical order to show how this economy settles into a state where the population size no longer changes, starting from a point where the population is small.
Figure 1.10: Equilibrium in a Malthusian Model
Consider a simple agricultural economy where a fixed amount of land is cultivated by a variable number of farmers. The average output per farmer decreases as more farmers work the land. The 'subsistence level' is the minimum output required for a farmer to survive. Initially, the population of farmers is so large that the average output per farmer is below this subsistence level. Arrange the following events in the logical sequence that describes how this economy would return to a stable state.