Consider the following scenario to understand the relationship between marginal and average values. Suppose Frances is a professional basketball player, and her game log for free throws can be summarized in the following table. Fill in the columns with Frances'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 8/10 8/10 80 80 6/10 14/20 3 1/5 15/25 3/5 18/30 8/10 26/40 On the following graph, use the orange points (square symbol) to plot Frances'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 Game Free-Throw Percentage 70 80 Average Free-Throw Percentage REE-THROW PERCENTAGE 50 40 30On the following graph, use the orange points (square symbol) to plot Frances'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 Game Free-Throw Percentage 80 70 Average Free-Throw Percentage FREE-THROW PERCENTAGE 20 GAME You can think of the result in any one game as being Frances's marginal free-throw percentage. Based on your previous answer, you can deduce that when Frances'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 (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