金声玉亮2.0模型评测报告

问题

There is a single choice question about high school microeconomics. Answer the question by replying A, B, C or D.
Question: Every day Melanie spends her lunch money consuming apples, at $1 each, and oranges, at $2 each. At her current level of consumption, Melanie's marginal utility of apples is 12 and her marginal utility of oranges is 18. If she has already spent all of her lunch money, how should Melanie change her consumption decision to maximize utility?
A. She should make no changes; she is consuming the utility maximizing combination of apples and oranges.
B. She should increase her apple consumption and decrease her orange consumption until the marginal utility per dollar is equal for both.
C. She should decrease her apple consumption and increase her orange consumption until the marginal utility per dollar is equal for both.
D. She should increase her apple consumption and decrease her orange consumption until the marginal utility is equal for both.
Answer:

答案

模型	模型答案	正确答案
金声玉亮2.0	C. She should decrease her apple consumption and increase her orange consumption until the marginal utility per dollar is equal for both.	B
deepseekr1	To maximize utility, Melanie should equalize the marginal utility per dollar spent on apples and oranges. Currently, the marginal utility per dollar is 12/1 = 12 for apples and 18/2 = 9 for oranges. Since apples provide higher marginal utility per dollar, Melanie should increase apple consumption (which will decrease their marginal utility due to diminishing returns) and decrease orange consumption (which will increase their marginal utility). This adjustment continues until the ratios are equal. Answer: B	B
gpto1	B	B
GPT-4o	B. She should increase her apple consumption and decrease her orange consumption until the marginal utility per dollar is equal for both.	B
llama3.1-70B-Instruct	C	B
llama3.1-405B-Instruct	The correct answer is B. She should increase her apple consumption and decrease her orange consumption until the marginal utility per dollar is equal for both. To maximize utility, Melanie should allocate her budget so that the marginal utility per dollar spent on each good is equal. Currently, the marginal utility per dollar spent on apples is 12/$1 = 12, and the marginal utility per dollar spent on oranges is 18/$2 = 9. Since the marginal utility per dollar is higher for apples, Melanie should increase her apple consumption and decrease her orange consumption until the marginal utility per dollar is equal for both.	B
DeepSeek-Coder-V2	B. She should increase her apple consumption and decrease her orange consumption until the marginal utility per dollar is equal for both.	B
Qwen2-72B-Instruct	B. She should increase her apple consumption and decrease her orange consumption until the marginal utility per dollar is equal for both.	B
baichuan4	B. She should increase her apple consumption and decrease her orange consumption until the marginal utility per dollar is equal for both.	B
doubao	C To maximize utility, Melanie should allocate her money so that the marginal utility per dollar is equal for both apples and oranges. Currently, the marginal utility per dollar for apples is 12/1 = 12 and for oranges is 18/2 = 9. So she should decrease her apple consumption (which will decrease its marginal utility) and increase her orange consumption (which will increase its marginal utility) until the marginal utility per dollar is equal for both.	B
minimax	C. She should decrease her apple consumption and increase her orange consumption until the marginal utility per dollar is equal for both. Explanation: To maximize utility, Melanie should allocate her money so that the last dollar spent on each product yields the same marginal utility per dollar. This is known as the equi-marginal principle. Since the marginal utility of oranges is higher than that of apples (18 for oranges vs. 12 for apples), and oranges cost twice as much, Melanie is not maximizing her utility. She should buy fewer apples and more oranges until the marginal utility per dollar spent on each is equal.	B
kimi	B. She should increase her apple consumption and decrease her orange consumption until the marginal utility per dollar is equal for both. This is because the marginal utility per dollar is calculated by dividing the marginal utility by the price of the good. Melanie should consume more of the good with the higher marginal utility per dollar to maximize her utility. In this case, since the price of apples is $1 and the price of oranges is $2, the marginal utility per dollar for apples is $12 and for oranges is $9. Melanie should consume more apples and fewer oranges to equalize the marginal utility per dollar.	B
wenxinyiyan	B Explanation: Melanie's current marginal utility per dollar spent on apples is 12 (marginal utility of apples) divided by $1 (price of apples), which equals 12. Her current marginal utility per dollar spent on oranges is 18 (marginal utility of oranges) divided by $2 (price of oranges), which equals 9. To maximize utility, Melanie should allocate her spending so that the marginal utility per dollar spent is equal for both apples and oranges. Since her current marginal utility per dollar is higher for apples (12) than for oranges (9), she should increase her consumption of apples and decrease her consumption of oranges until the marginal utility per dollar is equal for both. This process of reallocating spending to equalize the marginal utility per dollar spent is a fundamental principle of consumer choice theory in microeconomics. By doing so, Melanie ensures that she is getting the most utility possible from her limited lunch money. Therefore, the correct answer is B. She should increase her apple consumption and decrease her orange consumption until the marginal utility per dollar is equal for both.	B
zhipu	C. She should decrease her apple consumption and increase her orange consumption until the marginal utility per dollar is equal for both. Explanation: To maximize utility, Melanie should allocate her budget such that the marginal utility per dollar spent on apples is equal to the marginal utility per dollar spent on oranges. The marginal utility per dollar for apples is 12/1 = 12, and for oranges, it is 18/2 = 9. Since the marginal utility per dollar is higher for apples (12) than for oranges (9), Melanie should consume fewer apples and more oranges to balance the marginal utility per dollar spent on each. This adjustment will continue until the marginal utility per dollar for both goods is equal. Therefore, the correct answer is C.	B
gpto1	B	B

模型

模型答案

正确答案

金声玉亮2.0

C. She should decrease her apple consumption and increase her orange consumption until the marginal utility per dollar is equal for both.

deepseekr1

To maximize utility, Melanie should equalize the marginal utility per dollar spent on apples and oranges. Currently, the marginal utility per dollar is 12/1 = 12 for apples and 18/2 = 9 for oranges. Since apples provide higher marginal utility per dollar, Melanie should **increase apple consumption** (which will decrease their marginal utility due to diminishing returns) and **decrease orange consumption** (which will increase their marginal utility). This adjustment continues until the ratios are equal.

**Answer: B**

gpto1

GPT-4o

B. She should increase her apple consumption and decrease her orange consumption until the marginal utility per dollar is equal for both.

llama3.1-70B-Instruct

llama3.1-405B-Instruct

The correct answer is B. She should increase her apple consumption and decrease her orange consumption until the marginal utility per dollar is equal for both.

To maximize utility, Melanie should allocate her budget so that the marginal utility per dollar spent on each good is equal. Currently, the marginal utility per dollar spent on apples is 12/$1 = 12, and the marginal utility per dollar spent on oranges is 18/$2 = 9. Since the marginal utility per dollar is higher for apples, Melanie should increase her apple consumption and decrease her orange consumption until the marginal utility per dollar is equal for both.

DeepSeek-Coder-V2

B. She should increase her apple consumption and decrease her orange consumption until the marginal utility per dollar is equal for both.

Qwen2-72B-Instruct

B. She should increase her apple consumption and decrease her orange consumption until the marginal utility per dollar is equal for both.

baichuan4

B. She should increase her apple consumption and decrease her orange consumption until the marginal utility per dollar is equal for both.

doubao

C

To maximize utility, Melanie should allocate her money so that the marginal utility per dollar is equal for both apples and oranges. Currently, the marginal utility per dollar for apples is 12/1 = 12 and for oranges is 18/2 = 9. So she should decrease her apple consumption (which will decrease its marginal utility) and increase her orange consumption (which will increase its marginal utility) until the marginal utility per dollar is equal for both.

minimax

C. She should decrease her apple consumption and increase her orange consumption until the marginal utility per dollar is equal for both.

Explanation: To maximize utility, Melanie should allocate her money so that the last dollar spent on each product yields the same marginal utility per dollar. This is known as the equi-marginal principle. Since the marginal utility of oranges is higher than that of apples (18 for oranges vs. 12 for apples), and oranges cost twice as much, Melanie is not maximizing her utility. She should buy fewer apples and more oranges until the marginal utility per dollar spent on each is equal.

kimi

B. She should increase her apple consumption and decrease her orange consumption until the marginal utility per dollar is equal for both.

This is because the marginal utility per dollar is calculated by dividing the marginal utility by the price of the good. Melanie should consume more of the good with the higher marginal utility per dollar to maximize her utility. In this case, since the price of apples is $1 and the price of oranges is $2, the marginal utility per dollar for apples is $12 and for oranges is $9. Melanie should consume more apples and fewer oranges to equalize the marginal utility per dollar.

wenxinyiyan

B

Explanation:
Melanie's current marginal utility per dollar spent on apples is 12 (marginal utility of apples) divided by $1 (price of apples), which equals 12. Her current marginal utility per dollar spent on oranges is 18 (marginal utility of oranges) divided by $2 (price of oranges), which equals 9.

To maximize utility, Melanie should allocate her spending so that the marginal utility per dollar spent is equal for both apples and oranges. Since her current marginal utility per dollar is higher for apples (12) than for oranges (9), she should increase her consumption of apples and decrease her consumption of oranges until the marginal utility per dollar is equal for both.

This process of reallocating spending to equalize the marginal utility per dollar spent is a fundamental principle of consumer choice theory in microeconomics. By doing so, Melanie ensures that she is getting the most utility possible from her limited lunch money.

Therefore, the correct answer is B. She should increase her apple consumption and decrease her orange consumption until the marginal utility per dollar is equal for both.

zhipu

C. She should decrease her apple consumption and increase her orange consumption until the marginal utility per dollar is equal for both.

Explanation: To maximize utility, Melanie should allocate her budget such that the marginal utility per dollar spent on apples is equal to the marginal utility per dollar spent on oranges. The marginal utility per dollar for apples is 12/1 = 12, and for oranges, it is 18/2 = 9. Since the marginal utility per dollar is higher for apples (12) than for oranges (9), Melanie should consume fewer apples and more oranges to balance the marginal utility per dollar spent on each. This adjustment will continue until the marginal utility per dollar for both goods is equal. Therefore, the correct answer is C.

gpto1