3. The relationship between marginal and average costs Consider the following scenario to understand the relationship between marginal and average values. Suppose Caroline is a professional basketball player, and her game log for free throws can be summarized in the following table. Fill in the columns with Caroline's free-throw percentage for each game and her overall free-throw average after each game. Game Game Result Total Game Free-Throw Percentage Average Free-Throw Percentage 1 6/8 6/8 75 75 2/8 8/16 3 2/4 10/20 4 8/10 18/30 8/10 26/40 On the following graph, use the orange points (square symbol) to plot Caroline's free-throw percentage for each game individually, and use the green points (triangle symbol) to plot her overall average free-throw 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. 100 90 80 Game Free-Throw Percentage 70 60 Average Free-Throw Percentage RCENTAGE

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3. The relationship between marginal and average costs
Consider the following scenario to understand the relationship between marginal and average values. Suppose Caroline is a professional basketball
player, and her game log for free throws can be summarized in the following table.
Fill in the columns with Caroline's free-throw percentage for each game and her overall free-throw average after each game.
Game
Game Result
Total
Game Free-Throw Percentage
Average Free-Throw Percentage
1
6/8
6/8
75
75
2
2/8
8/16
3
2/4
10/20
4
8/10
18/30
5
8/10
26/40
On the following graph, use the orange points (square symbol) to plot Caroline's free-throw percentage for each game individually, and use the green
points (triangle symbol) to plot her overall average free-throw 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.
100
90
80
Game Free-Throw Percentage
70
60
Average Free-Throw Percentage
RCENTAGE
Transcribed Image Text:3. The relationship between marginal and average costs Consider the following scenario to understand the relationship between marginal and average values. Suppose Caroline is a professional basketball player, and her game log for free throws can be summarized in the following table. Fill in the columns with Caroline's free-throw percentage for each game and her overall free-throw average after each game. Game Game Result Total Game Free-Throw Percentage Average Free-Throw Percentage 1 6/8 6/8 75 75 2 2/8 8/16 3 2/4 10/20 4 8/10 18/30 5 8/10 26/40 On the following graph, use the orange points (square symbol) to plot Caroline's free-throw percentage for each game individually, and use the green points (triangle symbol) to plot her overall average free-throw 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. 100 90 80 Game Free-Throw Percentage 70 60 Average Free-Throw Percentage RCENTAGE
points (triangle symbol) to plot her overall average free-throw 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.
(?
100
90
80
Game Free-Throw Percentage
70
60
Average Free-Throw Percentage
50
40
30
20
10
4.
GAME
You can think of the result in any one game as being Caroline's marginal free-throw percentage. Based on your previous answer, you can deduce that
when Caroline's marginal free-throw percentage is above the average, the average must be
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
. Also, when the marginal cost curve is above the average total cost curve, the average
total cost must be
Therefore, the marginal cost curve intersects the average total cost curve
FREE-THROW PERCENTAGE
Transcribed Image Text:points (triangle symbol) to plot her overall average free-throw 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. (? 100 90 80 Game Free-Throw Percentage 70 60 Average Free-Throw Percentage 50 40 30 20 10 4. GAME You can think of the result in any one game as being Caroline's marginal free-throw percentage. Based on your previous answer, you can deduce that when Caroline's marginal free-throw percentage is above the average, the average must be 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 . Also, when the marginal cost curve is above the average total cost curve, the average total cost must be Therefore, the marginal cost curve intersects the average total cost curve FREE-THROW PERCENTAGE
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