The following scenario examines the relationship between marginal and average values. Suppose Nalah is a high school basketball player. The following table presents their game-by-game results for foul shots. Fill in the columns with Nalah’s foul-shooting percentage for each game and their overall foul-shooting average after each game. Game Game Result Total Game Foul-Shooting Percentage Average Foul-Shooting Percentage 1 8/10 8/10 80 80

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Chapter1: Making Economics Decisions
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3. The relationship between marginal and average costs

The following scenario examines the relationship between marginal and average values. Suppose Nalah is a high school basketball player. The following table presents their game-by-game results for foul shots.
Fill in the columns with Nalah’s foul-shooting percentage for each game and their overall foul-shooting average after each game.
Game
Game Result
Total
Game Foul-Shooting Percentage
Average Foul-Shooting Percentage
1 8/10 8/10 80 80
2 4/10 12/20
 
 
3 2/8 14/28
 
 
4 2/4 16/32
 
 
5 6/8 22/40
 
 
 
 
On the following graph, use the orange points (square symbol) to plot Nalah’s foul-shooting percentage for each game individually, and use the green points (triangle symbol) to plot Nalah’s overall average foul-shooting percentage after each game.
Note: Plot your points in the order in which you would like them connected. Line segments will connect the points automatically.
You can think of the result in any one game as being Nalah’s marginal shooting percentage. Based on your previous answer, you can deduce that when Nalah’s marginal shooting percentage is above the average, the average must be ( falling or rising).
 
You can now apply this analysis to production costs. For a U-shaped average total cost (ATC) curve, when the marginal cost curve is below the average total cost curve, the average total cost must be (falling or rising). Also, when the marginal cost curve is above the average total cost curve, the average total cost must be (falling or rising). Therefore, the marginal cost curve intersects the average total cost curve ( at its minimum, at its maximum, or when the ATC is at 0.
 
The image features a graph with the costs of producing pairs of boots. The graph has the following components:

- **Axes**: 
  - The x-axis represents the quantity of boots, measured in pairs, ranging from 0 to 6.
  - The y-axis represents costs in dollars per pair, ranging from 0 to 200.

- **Legend**: 
  - Different types of cost curves are indicated with symbols:
    - ATC (Average Total Cost) is represented by a green triangle.
    - AVC (Average Variable Cost) is represented by a purple diamond.
    - MC (Marginal Cost) is represented by an orange square.

The graph likely features curves typical in economics to analyze how production costs vary with the quantity produced. However, the actual curves are not present or visible in the image, only the grid and legends appear.
Transcribed Image Text:The image features a graph with the costs of producing pairs of boots. The graph has the following components: - **Axes**: - The x-axis represents the quantity of boots, measured in pairs, ranging from 0 to 6. - The y-axis represents costs in dollars per pair, ranging from 0 to 200. - **Legend**: - Different types of cost curves are indicated with symbols: - ATC (Average Total Cost) is represented by a green triangle. - AVC (Average Variable Cost) is represented by a purple diamond. - MC (Marginal Cost) is represented by an orange square. The graph likely features curves typical in economics to analyze how production costs vary with the quantity produced. However, the actual curves are not present or visible in the image, only the grid and legends appear.
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