An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?
Answer (2)
Analyze the trend in marginal cost from the provided table.
Observe that the marginal cost generally increases as the number of pies produced increases from 3 to 6.
Based on the trend, predict that the marginal cost will most likely increase if a seventh pie is baked.
Conclude that the marginal cost will most likely increase to $2.00 .
Explanation
Problem Analysis We are asked to predict what will most likely happen to the marginal cost if a pie maker bakes a seventh pie, based on the provided table of costs and revenues for producing apple pies.
Understanding Marginal Cost and Revenue The table shows the marginal cost and marginal revenue of producing apple pies. Marginal cost is the change in total cost resulting from producing one additional pie. Marginal revenue is the change in total revenue resulting from selling one additional pie. We need to analyze the trend in marginal cost to predict its value for the seventh pie.
Analyzing the Trend in Marginal Cost Looking at the 'Marginal cost' column, we see the following values:
Pie 1: $1.00
Pie 2: $0.50
Pie 3: $0.25
Pie 4: $0.50
Pie 5: $1.25
Pie 6: $1.50
We can observe that the marginal cost initially decreases, then increases as the number of pies produced increases. Specifically, from pie 3 to pie 6, the marginal cost consistently increases.
Predicting the Marginal Cost for the Seventh Pie Since the marginal cost has been increasing as the number of pies produced increases from 3 to 6, it is likely that the marginal cost will continue to increase if a seventh pie is baked. The marginal cost increased from $1.25 to $1.50 between the 5th and 6th pie. Therefore, it is most likely that the marginal cost will increase to $2.00 for the 7th pie.
Final Answer Therefore, the most likely outcome is that the marginal cost will increase to $2.00 if the pie maker bakes a seventh pie.
Examples
Understanding marginal cost is crucial in business for making production decisions. For example, a bakery can use marginal cost analysis to determine the optimal number of pies to bake each day. If the marginal cost of baking an additional pie exceeds the marginal revenue from selling that pie, the bakery should not bake the additional pie. This helps maximize profit and avoid losses.
Approximately 2.81 × 1 0 21 electrons flow through the electric device when a current of 15.0 A is delivered for 30 seconds. This is calculated using the relationship between current and charge, and the charge of a single electron. Such knowledge is crucial for understanding electric circuits and electronic devices.
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