3. The relationship between marginal and average costs The following scenario examines the relationship between marginal and average values. Suppose Piper is a high school basketball player. The following table presents their game-by-game results for foul shots. Fill in the columns with Piper'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 80 14/20 15/25 18/30 26/40 2345 FREE-THROW PERCENTAGE On the following graph, use the orange points (square symbol) to plot Piper's foul-shooting percentage for each game individually, and use the green points (triangle symbol) to plot Piper'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. 88 8 28 29 18 8 10 8/10 6/10 1/5 3/5 8/10 0 80 GAME -O- Game Foul-Shooting Percentage Average Foul Shooting Percentage You can think of the result in any one game as being Piper's marginal shooting percentage. Based on your previous answer, you can deduce that when Piper's marginal shooting percentage is below 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 ✓ Therefore, the marginal cost curve intersects the average total cost curve total cost must be

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3. The relationship between marginal and average costs
The following scenario examines the relationship between marginal and average values. Suppose Piper is a high school basketball player. The following
table presents their game-by-game results for foul shots.
Fill in the columns with Piper'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
80
2
14/20
15/25
18/30
26/40
3
4
5
FREE-THROW PERCENTAGE
On the following graph, use the orange points (square symbol) to plot Piper's foul-shooting percentage for each game individually, and use the green
points (triangle symbol) to plot Piper'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.
100
90
80
70
60
50
40
30
20
10
0
8/10
6/10
1/5
3/5
8/10
0
2
80
GAME
Game Foul-Shooting Percentage
Average Foul-Shooting Percentage
You can think of the result in any one game as being Piper's marginal shooting percentage. Based on your previous
Piper's marginal shooting percentage is below the average, the average must be
wer, you can deduce that when
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
Therefore, the marginal cost curve intersects the average total cost curve
total cost must be
Transcribed Image Text:3. The relationship between marginal and average costs The following scenario examines the relationship between marginal and average values. Suppose Piper is a high school basketball player. The following table presents their game-by-game results for foul shots. Fill in the columns with Piper'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 80 2 14/20 15/25 18/30 26/40 3 4 5 FREE-THROW PERCENTAGE On the following graph, use the orange points (square symbol) to plot Piper's foul-shooting percentage for each game individually, and use the green points (triangle symbol) to plot Piper'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. 100 90 80 70 60 50 40 30 20 10 0 8/10 6/10 1/5 3/5 8/10 0 2 80 GAME Game Foul-Shooting Percentage Average Foul-Shooting Percentage You can think of the result in any one game as being Piper's marginal shooting percentage. Based on your previous Piper's marginal shooting percentage is below the average, the average must be wer, you can deduce that when 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 Therefore, the marginal cost curve intersects the average total cost curve total cost must be
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