| 模型 | 模型答案 | 正确答案 |
|---|---|---|
| 金声玉亮2.0 | C |
C |
| deepseekr1 | The question involves calculating the shift in aggregate demand due to a $100 increase in autonomous investment with an MPC of 0.90. The multiplier is calculated as \( \frac{1}{1 - MPC} = \frac{1}{1 - 0.90} = 10 \). Multiplying the initial investment by the multiplier gives \( 100 \times 10 = 1,000 \). The correct answer is **C. $1,000**. **Answer:** C |
C |
| gpto1 | C | C |
| GPT-4o | C. $1,000 | C |
| llama3.1-70B-Instruct | B |
C |
| llama3.1-405B-Instruct | C. $1,000 Explanation: The marginal propensity to consume (MPC) is the change in consumption divided by the change in disposable income. In this case, the MPC is 0.90, which means that for every additional dollar of disposable income, consumption increases by 90 cents. When $100 of new autonomous private investment is added to the economy, it increases aggregate demand by $100. This is because investment is a component of aggregate demand, and an increase in investment directly increases aggregate demand. However, the increase in aggregate demand does not stop there. The $100 increase in investment also leads to an increase in disposable income, as the investment creates new jobs and income for households. With an MPC of 0.90, households will spend 90% of this additional income, which is $90 (0.90 x $100). This additional consumption of $90 further increases aggregate demand, which in turn leads to another round of increased disposable income and consumption, and so on. This multiplier effect continues until the initial increase in investment has been fully absorbed into the economy. To calculate the total increase in aggregate demand, we can use the formula: Total increase in aggregate demand = Initial increase in investment / (1 - MPC) Plugging in the values, we get: Total increase in aggregate demand = $100 / (1 - 0.90) = $100 / 0.10 = $1,000 Therefore, the correct answer is C. $1,000. The addition of $100 of new autonomous private investment to an economy with an MPC of 0.90 would shift aggregate demand to the right by $1,000. |
C |
| DeepSeek-Coder-V2 | C. $1,000 | C |
| Qwen2-72B-Instruct | B. $900 | C |
| baichuan4 | D. $1,900 | C |
| doubao | C. $1000. The multiplier is 1 / (1 - marginal propensity to consume) = 1 / (1 - 0.9) = 10. So the increase in aggregate demand is $100 * 10 = $1000. | C |
| minimax | The correct answer is B. $900. Explanation: The initial injection of $100 of new autonomous private investment would increase aggregate demand by that amount. However, because the marginal propensity to consume (MPC) is 0.90, this means that 90% of any additional income will be spent on consumption. This spending will then become income for others, who will also spend 90% of it, and so on, in a process known as the multiplier effect. The formula for the multiplier is 1/(1-MPC). In this case, the multiplier would be 1/(1-0.90) = 1/0.10 = 10. So the total increase in aggregate demand would be the initial investment multiplied by the multiplier: $100 * 10 = $1,000 However, since the question asks by how much aggregate demand would shift to the right, we need to consider the initial investment as well. Therefore, the total shift to the right would be the initial investment plus the increase from the multiplier effect: $100 (initial investment) + $900 (increase from multiplier effect) = $1,000 So the correct answer is B. $900, as it represents the increase in aggregate demand from the multiplier effect alone, not including the initial investment. |
C |
| kimi | B. $900 To understand why the answer is B, let's break down the concept of the marginal propensity to consume (MPC) and how it affects aggregate demand. The MPC is the fraction of an additional dollar of income that a consumer spends on goods and services. In this case, the MPC is 0.90, which means that for every additional dollar of income, consumers will spend 90 cents on goods and services. When there is an increase in autonomous private investment (which is investment that occurs independently of the level of income), it leads to an increase in income and subsequently in consumption. The multiplier effect is the process by which this initial increase in investment leads to a larger increase in aggregate demand. The formula for the multiplier is: \[ \text{Multiplier} = \frac{1}{1 - MPC} \] Substituting the given MPC of 0.90: \[ \text{Multiplier} = \frac{1}{1 - 0.90} = \frac{1}{0.10} = 10 \] This multiplier tells us that every dollar of autonomous investment will lead to a $10 increase in aggregate demand. Now, if there is an additional $100 of autonomous private investment, the increase in aggregate demand would be: \[ \text{Increase in Aggregate Demand} = \text{Multiplier} \times \text{Autonomous Investment} \] \[ \text{Increase in Aggregate Demand} = 10 \times 100 = 1000 \] So, the aggregate demand would shift to the right by $1000. |
C |
| wenxinyiyan | C. $1,000 Explanation: In macroeconomics, the marginal propensity to consume (MPC) represents the proportion of additional income that is spent on consumption, rather than saved. The formula for calculating the change in aggregate demand resulting from a change in investment is given by the multiplier effect, which is 1 / (1 - MPC). In this case, the marginal propensity to consume (MPC) is 0.90. Therefore, the multiplier can be calculated as: Multiplier = 1 / (1 - 0.90) = 1 / 0.10 = 10 This means that for every dollar of new investment, aggregate demand will increase by $10. Therefore, an increase of $100 in autonomous private investment would shift aggregate demand to the right by: $100 * 10 = $1,000 So, the correct answer is C. $1,000. |
C |
| zhipu | To determine how much aggregate demand will shift to the right due to new autonomous private investment, we can use the concept of the spending multiplier. The spending multiplier formula is: \[ \text{Multiplier} = \frac{1}{1 - \text{MPC}} \] where MPC is the marginal propensity to consume. Given: - MPC = 0.90 - New autonomous private investment = $100 First, calculate the multiplier: \[ \text{Multiplier} = \frac{1}{1 - 0.90} = \frac{1}{0.10} = 10 \] Next, multiply the new investment by the multiplier to find the change in aggregate demand: \[ \text{Change in Aggregate Demand} = \text{New Investment} \times \text{Multiplier} \] \[ \text{Change in Aggregate Demand} = \$100 \times 10 = \$1,000 \] Therefore, the aggregate demand will shift to the right by $1,000. Answer: C. $1,000 |
C |
| gpto1 | C | C |