An economic model represents the relationship between the number of farmers working a fixed plot of land and the total grain produced. The model is built on the plausible assumption that while total output always increases as more farmers are added, the increase in output from each additional farmer is smaller than the increase from the previous one. Based on this model, which of the following statements is a logical consequence?
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A model of grain production shows that as more farmers work on a fixed amount of land, the total grain output increases. However, the graph of this relationship is a curve that becomes progressively flatter as more farmers are added. What is the most plausible real-world explanation for why the curve becomes flatter?
Evaluating Farming Production Models
Plausibility of a Production Model
A hypothetical grain production model where total output increases by the exact same amount for each additional farmer added to a fixed plot of land is considered a plausible representation of real-world farming conditions.
An economic modeler is considering different ways to represent the relationship between the number of farmers working on a fixed-sized plot of land and the total amount of grain produced. Match each description of a potential relationship with its level of real-world plausibility.
Analyzing the Realism of a Production Model
An economic model represents the relationship between the number of farmers working a fixed plot of land and the total grain produced. The model is built on the plausible assumption that while total output always increases as more farmers are added, the increase in output from each additional farmer is smaller than the increase from the previous one. Based on this model, which of the following statements is a logical consequence?
An economic model is created to show the relationship between the number of farmers working on a fixed plot of land and the total grain produced. The model depicts a relationship where each additional farmer added to the land contributes more to the total grain output than the farmer who was added just before them. Why is this model generally considered an implausible representation of real-world farming?
An economist is modeling the output of a small farm with a fixed amount of land and equipment. Which of the following tables presents the most plausible scenario for how total grain output (in kilograms) changes as the number of farm workers increases?
Evaluating a Farming Cooperative's Production Plan