问题


There is a single choice question about high school microeconomics. Answer the question by replying A, B, C or D.
Question: When opportunity cost is constant across all production levels, the productions possibilities frontier is
A. concave to the origin.
B. convex to the origin.
C. undefined.
D. a straight diagonal line sloping downward from left to right.
Answer:

答案

模型 模型答案 正确答案
金声玉亮2.0

D. a straight diagonal line sloping downward from left to right.
D
deepseekr1

D. a straight diagonal line sloping downward from left to right.

**Explanation**:
The Production Possibilities Frontier (PPF) illustrates trade-offs between two goods. When opportunity cost is **constant**, the resources used to produce the goods are perfectly adaptable between them. This means the slope of the PPF (which represents opportunity cost) does not change. A constant slope results in a **straight line** (downward-sloping), as the trade-off ratio remains the same at all production levels.

- **Option A (concave)**: Incorrect, as concave PPFs reflect *increasing* opportunity costs.
- **Option B (convex)**: Incorrect, as convex PPFs imply *decreasing* opportunity costs, a rare scenario.
- **Option C (undefined)**: Incorrect, as the PPF is clearly defined in this case.
- **Option D (straight line)**: Correct, as constant opportunity cost leads to a linear PPF.

Answer: **D**
D
gpto1 D D
GPT-4o D. a straight diagonal line sloping downward from left to right. D
llama3.1-70B-Instruct

D
D
llama3.1-405B-Instruct

D
D
DeepSeek-Coder-V2 D D
Qwen2-72B-Instruct D. a straight diagonal line sloping downward from left to right. D
baichuan4 D D
doubao D. a straight diagonal line sloping downward from left to right. D
minimax D. a straight diagonal line sloping downward from left to right. D
kimi D. a straight diagonal line sloping downward from left to right.

In microeconomics, the production possibilities frontier (PPF) is a graph that shows the different combinations of two goods that can be produced with a given amount of resources and technology. The opportunity cost is the value of the next best alternative that you must give up to produce more of one good.

If the opportunity cost is constant, it means that you have to give up the same amount of one good to produce one more unit of another good, regardless of the production level. This implies that the trade-off between the two goods is constant, and thus the PPF would be a straight line with a constant slope, indicating equal opportunity cost.
D
wenxinyiyan D. a straight diagonal line sloping downward from left to right.

Explanation:
In microeconomics, the production possibilities frontier (PPF) represents the maximum combination of two goods or services that can be produced with a given set of resources and technology. The shape of the PPF reflects the nature of opportunity costs.

* When opportunity costs are increasing (as production of one good increases, production of the other good decreases more rapidly), the PPF is concave to the origin.
* When opportunity costs are decreasing (as production of one good increases, production of the other good decreases less rapidly), the PPF is convex to the origin.
* When opportunity costs are constant (as production of one good increases, production of the other good decreases at a constant rate), the PPF is a straight diagonal line sloping downward from left to right.

In this question, opportunity cost is constant across all production levels, so the correct answer is D: a straight diagonal line sloping downward from left to right.
D
zhipu D. a straight diagonal line sloping downward from left to right.

When the opportunity cost is constant across all production levels, the Production Possibilities Frontier (PPF) is represented as a straight line. This line slopes downward from left to right, indicating the trade-off between the two goods being produced. The constant opportunity cost implies a linear relationship between the quantities of the two goods.
D
gpto1 D D