https://file.aiquickdraw.com/mathbot/file/1726774251482igxlr4nf.jpg

In the image, we are given a Production Possibilities Frontier (PPF) diagram depicting the trade-off between two goods: spoons and forks. Points A and B on the curve represent different combinations of spoons and forks that an economy can produce.

- At point A, the economy produces 50 forks and 20 spoons.
- At point B, the economy produces 15 forks and 70 spoons.

The problem asks for the opportunity cost of a single spoon when the economy shifts production from point A to point B.

### Opportunity Cost Calculation
The opportunity cost is the trade-off between the two goods. Here, it measures how many forks are given up to produce one additional spoon.

1. **Forks lost**: Moving from point A (50 forks) to point B (15 forks) results in a decrease of:
   \[
   50 - 15 = 35 \text{ forks}
   \]
2. **Spoons gained**: Moving from point A (20 spoons) to point B (70 spoons) results in an increase of:
   \[
   70 - 20 = 50 \text{ spoons}
   \]
3. **Opportunity cost of a single spoon**: The opportunity cost per spoon is the ratio of forks lost to spoons gained:
   \[
   \frac{35 \text{ forks}}{50 \text{ spoons}} = 0.7 \text{ forks per spoon}
   \]

Thus, the opportunity cost of producing one spoon is **0.7 forks**.

The correct answer is: **0.7 forks**.

Do you need further details or clarifications? 

Here are five related questions to explore:
1. What does the PPF represent in economics?
2. What does it mean if a point lies inside the PPF curve?
3. How do opportunity costs affect decision-making in economics?
4. How can an economy shift the PPF outward?
5. What is the difference between constant and increasing opportunity costs?

**Tip**: The slope of the PPF at any point represents the opportunity cost between the two goods.

Suppose that an economy is initially producing at point A. If the economy shifts production to point B, what is the opportunity cost of a single spoon for this change?

Learn how to calculate the opportunity cost of producing one spoon when moving production from point A (50 forks, 20 spoons) to point B (15 forks, 70 spoons) on a Production Possibility Frontier (PPF). This example demonstrates the trade-off and economic decision-making with an opportunity cost of 0.7 forks per spoon. Ideal for Grades 9-12.

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