Graphical Comparison of Marginal and Average Product

Example Calculation of Average Product of Labor at Point P

A firm's production process is represented by a curve on a graph where the horizontal axis is labor input and the vertical axis is total output. The curve starts at the origin (0,0), rises, and then flattens. Four points (A, B, C, and D) are marked along the curve in order of increasing labor input. A straight line (a ray) is drawn from the origin to each of these points. The ray to point B is the steepest among the four. The ray to point A is less steep than B. The rays to points C and D are progressively flatter than the ray to point B. At which point is the average output per unit of labor maximized?

Analyzing Workshop Productivity

Interpreting Production Efficiency

Consider a production process represented by a curve on a graph where the horizontal axis measures labor input and the vertical axis measures total output. True or False: If Point X on the curve represents a lower quantity of labor input than Point Y, then the average output per unit of labor must be lower at Point X than at Point Y.

A production process is described by a function where total output depends on the amount of labor input. At 10 hours of labor, the total output is 50 units. At 20 hours of labor, the total output is 120 units. At 30 hours of labor, the total output is 150 units. Based on this information, how does the average product of labor change as labor input increases from 10 to 20 hours, and then from 20 to 30 hours?

On a standard production function graph with labor input on the horizontal axis and total output on the vertical axis, match each graphical feature to the economic concept it represents.

Analyzing Study Productivity

A firm's production is represented on a graph where the horizontal axis measures hours of labor and the vertical axis measures total units of output. Point A on the graph represents 10 hours of labor producing 100 units of output. Point B on the graph represents 20 hours of labor producing 150 units of output. Which statement correctly compares the average product of labor at these two points?

A manager is analyzing a production graph where the horizontal axis represents the number of workers and the vertical axis represents total units produced. The company is currently operating at Point A. The manager proposes hiring more workers to move to Point B, which would increase the total units produced. However, a straight line drawn from the origin (0,0) to Point B is noticeably flatter than a straight line drawn from the origin to Point A. If the manager's primary goal is to maximize the average output per worker, what is the best evaluation of this proposal?

The Geometric Interpretation of Average Product

Point B on the Production Function: Output, Average Product, and its Graphical Representation

Comparing Average Product Graphically Using the Slope of Rays from the Origin