| 模型 | 模型答案 | 正确答案 |
|---|---|---|
| 金声玉亮2.0 | C. Find the combination of labor and capital where the marginal product of labor divided by the price of labor is equal to the marginal product of capital divided by the price of capital. | C |
| deepseekr1 | The firm must equate the marginal product per dollar spent on each input to minimize costs. This occurs when the ratio of the marginal product of labor to the price of labor equals the ratio of the marginal product of capital to the price of capital. **Analysis of Options:** - **A & B** incorrectly focus on marginal products being equal or their ratio equaling one, ignoring input prices. - **D** equates input prices, which is irrelevant to cost minimization. - **C** correctly states the condition where marginal product per dollar is equalized: \( \frac{MP_L}{P_L} = \frac{MP_K}{P_K} \). **Answer:** C |
C |
| gpto1 | C | C |
| GPT-4o | C. Find the combination of labor and capital where the marginal product of labor divided by the price of labor is equal to the marginal product of capital divided by the price of capital. | C |
| llama3.1-70B-Instruct | C |
C |
| llama3.1-405B-Instruct | C. Find the combination of labor and capital where the marginal product of labor divided by the price of labor is equal to the marginal product of capital divided by the price of capital. |
C |
| DeepSeek-Coder-V2 | C | C |
| Qwen2-72B-Instruct | C. Find the combination of labor and capital where the marginal product of labor divided by the price of labor is equal to the marginal product of capital divided by the price of capital. | C |
| baichuan4 | C. Find the combination of labor and capital where the marginal product of labor divided by the price of labor is equal to the marginal product of capital divided by the price of capital. | C |
| doubao | C In order to hire the least-cost combination of labor and capital, the firm should equate the marginal product per dollar spent on labor with the marginal product per dollar spent on capital. That is, the marginal product of labor divided by the price of labor should be equal to the marginal product of capital divided by the price of capital. |
C |
| minimax | C. Find the combination of labor and capital where the marginal product of labor divided by the price of labor is equal to the marginal product of capital divided by the price of capital. | C |
| kimi | C. Find the combination of labor and capital where the marginal product of labor divided by the price of labor is equal to the marginal product of capital divided by the price of capital. | C |
| wenxinyiyan | C | C |
| zhipu | C. Find the combination of labor and capital where the marginal product of labor divided by the price of labor is equal to the marginal product of capital divided by the price of capital. This is because the least-cost combination of inputs for a firm is achieved when the ratio of the marginal product to the price of each input is the same, ensuring that the firm is using the inputs in the most cost-effective way. This is known as the marginal rate of technical substitution (MRTS) being equal to the ratio of input prices. |
C |
| gpto1 | C | C |