Consider the following scenario to understand the relationship between marginal and average values. Suppose Shen is a professional bash player, and his game log for free throws can be summarized in the following table. Fill in the columns with Shen's free-throw percentage for each game and his overall free-throw average after each game. Game Game Result Total Game Free-Throw Percentage Average Free-Throw Percentage 8/10 8/10 80 80 6/10 14/20 3 1/5 15/25 4 3/5 18/30 8/10 26/40

Microeconomics: Private and Public Choice (MindTap Course List)
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Chapter2: Some Tools Of The Economist
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Aplia Homework: Production and Cost in the Firm
100
90
Game Free-Throw Percentage
80
70
Average Free-Throw Percentage
30
20
10
3
4
5
GAME
You can think of the result in any one game as being Shen's marginal free-throw percentage. Based on your previous answer, you can deduce that
when Shen's marginal free-throw 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 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:Aplia Homework: Production and Cost in the Firm 100 90 Game Free-Throw Percentage 80 70 Average Free-Throw Percentage 30 20 10 3 4 5 GAME You can think of the result in any one game as being Shen's marginal free-throw percentage. Based on your previous answer, you can deduce that when Shen's marginal free-throw 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 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
Consider the following scenario to understand the relationship between marginal and average values. Suppose Shen is a professional basketball
player, and his game log for free throws can be summarized in the following table.
Fill in the columns with Shen's free-throw percentage for each game and his overall free-throw average after each game.
Game
Game Result
Total
Game Free-Throw Percentage
Average Free-Throw Percentage
1
8/10
8/10
80
80
6/10
14/20
3
1/5
15/25
4
3/5
18/30
8/10
26/40
On the following graph, use the orange points (square symbol) to plot Shen's free-throw percentage for each game individually, and use the green
points (triangle symbol) to plot his 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
Game Free-Throw Percentage
80
70
Average Free-Throw Percentage
RCENTAGE
Transcribed Image Text:Consider the following scenario to understand the relationship between marginal and average values. Suppose Shen is a professional basketball player, and his game log for free throws can be summarized in the following table. Fill in the columns with Shen's free-throw percentage for each game and his overall free-throw average after each game. Game Game Result Total Game Free-Throw Percentage Average Free-Throw Percentage 1 8/10 8/10 80 80 6/10 14/20 3 1/5 15/25 4 3/5 18/30 8/10 26/40 On the following graph, use the orange points (square symbol) to plot Shen's free-throw percentage for each game individually, and use the green points (triangle symbol) to plot his 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 Game Free-Throw Percentage 80 70 Average Free-Throw Percentage RCENTAGE
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