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id model_name task_name sample_id prompt_actual prompt_full gold_answer is_correct extracted_answers stop_reasons response_1
16 grpo-gsm8k-train-13ep-success_global_step_50 gsm8k_main(0) 15 Question: A merchant wants to make a choice of purchase between 2 purchase plans: jewelry worth $5,000 or electronic gadgets worth $8,000. His financial advisor speculates that the jewelry market will go up 2.5% while the electronic gadgets market will rise 1.2% within the same month. If the merchant is looking to maximize profit at the end of this month by making a choice, how much profit would this be? Answer: <|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Output format: end your response with \boxed{<answer>} where <answer> is the final answer. Question: A merchant wants to make a choice of purchase between 2 purchase plans: jewelry worth $5,000 or electronic gadgets worth $8,000. His financial advisor speculates that the jewelry market will go up 2.5% while the electronic gadgets market will rise 1.2% within the same month. If the merchant is looking to maximize profit at the end of this month by making a choice, how much profit would this be? Answer:<|im_end|> <|im_start|>assistant 125 0 [96] [stop:-] To determine which purchase plan will yield the higher profit, we need to calculate the future value of each purchase plan based on the given market growth rates. 1. **Jewelry Purchase:** - Initial value: $5,000 - Market growth rate: 2.5% - Future value of jewelry = $5,000 * (1 + 0.025) = $5,000 * 1.025 = $5,125 2. **Electronic Gadgets Purchase:** - Initial value: $8,000 - Market growth rate: 1.2% - Future value of electronic gadgets = $8,000 * (1 + 0.012) = $8,000 * 1.012 = $8,096 Now, we compare the future values: - Future value of jewelry = $5,125 - Future value of electronic gadgets = $8,096 The merchant should choose the electronic gadgets purchase plan to maximize profit, as it will yield a higher future value of $8,096 compared to the jewelry purchase plan's future value of $5,125. The profit from the electronic gadgets purchase plan is: \[ \text{Profit} = \text{Future value of electronic gadgets} - \text{Initial value of electronic gadgets} = 8,096 - 8,000 = 96 \] Thus, the profit from the electronic gadgets purchase plan is \(\boxed{96}\).
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