| 模型 | 模型答案 | 正确答案 |
|---|---|---|
| 金声玉亮2.0 | D. $4 Explanation: The marginal propensity to consume (MPC) is the change in consumption divided by the change in disposable income. In this case, the change in consumption is $1 (the price of the golf ball) and the MPC is 0.75. To find the total increase in real GDP, we need to calculate the multiplier effect. The multiplier effect is calculated as 1 / (1 - MPC). In this case, the multiplier effect is 1 / (1 - 0.75) = 1 / 0.25 = 4. Therefore, the total increase in England's real GDP resulting from Mr. Woods' purchase is $1 x 4 = $4. |
D |
| deepseekr1 | The total increase in England's real GDP is determined by the multiplier effect. The marginal propensity to consume (MPC) is 0.75, so the multiplier is calculated as \( \frac{1}{1 - MPC} = \frac{1}{1 - 0.75} = 4 \). Tiger Woods' initial purchase of $1 directly increases GDP by $1 and triggers subsequent rounds of spending. The multiplier effect amplifies the initial expenditure, leading to a total increase in GDP of \( \$1 \times 4 = \$4 \). **Answer: D** |
D |
| gpto1 | D | D |
| GPT-4o | D. $4 | D |
| llama3.1-70B-Instruct | D |
D |
| llama3.1-405B-Instruct | D. $4 Explanation: The marginal propensity to consume (MPC) is the change in consumption divided by the change in disposable income. In this case, the change in consumption is $1 (the price of the golf ball), and the MPC is 0.75. To find the total increase in real GDP, we need to calculate the multiplier effect. The multiplier effect is calculated as 1 / (1 - MPC). In this case, the multiplier effect is 1 / (1 - 0.75) = 1 / 0.25 = 4. Therefore, the total increase in England's real GDP resulting from Mr. Woods' purchase is $1 x 4 = $4. |
D |
| DeepSeek-Coder-V2 | D. $4 | D |
| Qwen2-72B-Instruct | The answer is D. $4. This is based on the multiplier effect in macroeconomics, where the initial expenditure leads to further spending in the economy. The formula to calculate the multiplier effect is 1/(1-MPC), where MPC is the marginal propensity to consume. Given an MPC of 0.75, the multiplier is 1/(1-0.75) = 4. Therefore, the total increase in England's real GDP resulting from Mr. Woods' purchase would be $1 * 4 = $4. | D |
| baichuan4 | A. $1 | D |
| doubao | D. $4. The multiplier is 1 / (1 - marginal propensity to consume) = 1 / (1 - 0.75) = 4. The initial increase in spending is $1, so the total increase in real GDP is $1 * 4 = $4. |
D |
| minimax | The total increase in England's real GDP resulting from Mr. Woods' purchase can be calculated using the multiplier effect, which is determined by the marginal propensity to consume (MPC). The formula for the multiplier is: Multiplier = 1 / (1 - MPC) Given that the MPC is 0.75, the multiplier would be: Multiplier = 1 / (1 - 0.75) = 1 / 0.25 = 4 The initial injection into the economy is $1 (the purchase of the golf ball). To find the total increase in GDP, we multiply the initial injection by the multiplier: Total increase in GDP = Initial injection × Multiplier Total increase in GDP = $1 × 4 = $4 Therefore, the correct answer is: D. $4 |
D |
| kimi | C. $1.75 The marginal propensity to consume (MPC) is the proportion of an increase in income that is spent on consumption. If the MPC in England is 0.75, it means that for every additional dollar of income, 75 cents will be spent on consumption. When Tiger Woods spends $1 on a golf ball in England, this initial expenditure will generate additional income for the seller of the golf ball. The seller will then spend 75% of this income, which is $0.75, on consumption. This process continues as each subsequent recipient of the income spends 75% of their additional income. The total increase in real GDP can be calculated using the formula: Total increase in real GDP = Initial expenditure * (1 / (1 - MPC)) Plugging in the values: Total increase in real GDP = $1 * (1 / (1 - 0.75)) Total increase in real GDP = $1 * (1 / 0.25) Total increase in real GDP = $1 * 4 Total increase in real GDP = $4 However, the calculation above assumes that the effect of the initial expenditure continues indefinitely, which is not realistic. In reality, the effect would diminish over time as each subsequent round of spending is smaller than the previous one due to the MPC being less than 1. But for the purpose of this question, which seems to be asking for the immediate impact without considering the diminishing returns over multiple rounds of spending, the answer would be $4. Since the options provided do not include $4, and the question seems to be asking for the immediate impact, the closest answer would be the next highest option, which is C. $1.75. However, this is not the correct calculation based on the formula provided. If the question is intended to reflect the immediate impact without considering the diminishing returns over multiple rounds of spending, then the correct answer would be D. $4. |
D |
| wenxinyiyan | D. $4 This question involves the concept of the multiplier effect in macroeconomics. The multiplier effect refers to the amplification of an initial change in spending on the overall economy. In this case, the initial change is Tiger Woods' purchase of a golf ball for $1. The marginal propensity to consume (MPC) is a key component of the multiplier effect. It represents the proportion of additional income that is spent on consumption, rather than saved. In this question, the MPC for England is given as 0.75. The multiplier can be calculated using the formula: Multiplier = 1 / (1 - MPC). Applying this formula with an MPC of 0.75, we get: Multiplier = 1 / (1 - 0.75) = 1 / 0.25 = 4 This means that for every $1 of initial spending, the total increase in real GDP will be $4 due to the multiplier effect. Therefore, Tiger Woods' purchase of a golf ball for $1 will result in a total increase of $4 in England's real GDP. |
D |
| zhipu | To determine the total increase in England's real GDP resulting from Tiger Woods' purchase of a golf ball, we need to use the concept of the spending multiplier. The spending multiplier (k) is calculated using the marginal propensity to consume (MPC): \[ k = \frac{1}{1 - MPC} \] Given that the MPC is 0.75: \[ k = \frac{1}{1 - 0.75} = \frac{1}{0.25} = 4 \] The initial spending of $1 by Tiger Woods will be multiplied by this factor to determine the total increase in GDP: \[ \text{Total Increase in GDP} = \text{Initial Spending} \times k = $1 \times 4 = $4 \] Therefore, the total increase in England's real GDP resulting from Mr. Woods' purchase is: D. $4 |
D |
| gpto1 | D | D |