The Feasible Frontier Production Function in the Angela-Bruno Model

Average Product of Labor as the Slope of a Ray from the Origin

Cause of Diminishing Average Product with Fixed Inputs

Figure 5.4 - Angela's Production Function

Constructing Angela's Feasible Frontier

A Feasible Point on Angela's Frontier (19h Free Time, 37 Bushels)

Angela's Production Function and the Unit 1 Agricultural Production Function

A farmer's production technology shows that as she increases her daily hours of work, her total grain output rises. However, she notices that the tenth hour of work adds less grain to her total harvest than the ninth hour did. What does this observation imply about the shape of her production function?

Plausibility of Farming Production Models

Interpreting the Shape of a Production Function

Evaluating a Policy to Increase Farm Labor

Imagine a production function graph for a farmer, with 'Hours of Work' on the horizontal axis and 'Total Grain Output' on the vertical axis. The curve starts at the origin, rises steeply at first, and then becomes progressively flatter as hours of work increase. Three points are marked on this curve: Point A is at a low number of work hours where the curve is steep, Point B is in the middle section where the curve is less steep, and Point C is at a high number of work hours where the curve is nearly flat. Match each description of productivity to the point on the curve it best represents.

A production function that is concave (bowed downwards) indicates that for a given production technology, each additional unit of input, such as an hour of labor, results in a progressively smaller increase in total output.

Analyzing a Farmer's Production Data

A production function that is concave, meaning it becomes progressively flatter as the amount of an input like labor increases, illustrates the economic principle of ________ ________ ________.

A farmer's daily grain output varies with the number of hours worked, as shown in the scenarios below. Arrange these scenarios in order from the one with the HIGHEST average grain output per hour of work to the one with the LOWEST.

Comparing Farming Technologies

Angela's Average Product of Labor at Point T and its Graphical Representation

Labor Input in Angela's Production Function vs. the Section 1.6 Model

Figure 5.4 - Angela's Production Function

Angela's Production Function

A self-sufficient farmer uses a specific technique to grow a crop. This technique determines all the possible combinations of daily free time and crop output the farmer can achieve. The farmer then discovers a new, more productive method that yields more of the crop for the same number of hours worked. How does this technological improvement affect the set of all feasible combinations of free time and crop output?

Evaluating a Farmer's Production Plan

Feasibility of Production Outcomes

A farmer's production technology establishes the maximum amount of a crop that can be grown for any given number of work hours. Therefore, a combination of free time and crop output is only considered 'feasible' if it lies exactly on the boundary of what this technology allows.

A self-sufficient farmer's production technology determines the maximum amount of grain they can produce for any given number of work hours. This relationship defines a boundary of all possible combinations of daily free time and grain output. Match each location relative to this boundary with its correct description.

For a self-sufficient producer, the boundary of all achievable combinations of output and free time is defined by their ____, which specifies the maximum output possible for any given amount of labor input.

A self-sufficient farmer's daily choices are constrained by their farming technique. Arrange the following statements to describe the logical sequence from the technological constraint to the full range of possible outcomes for the farmer.

Comparing Production Technologies and Feasible Outcomes

Analyzing a Production Shortfall

A farmer's production technology determines the relationship between hours worked and grain produced. The maximum possible output is 60 bushels of grain, which requires 12 hours of work per day. The technology also shows that working more hours always produces more grain, but at a decreasing rate. Which of the following combinations of work and output is technologically impossible for the farmer?

A farmer's production technology establishes the maximum amount of a crop that can be grown for any given number of work hours. Therefore, a combination of free time and crop output is only considered 'feasible' if it lies exactly on the boundary of what this technology allows.