
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
On the eve of the "Qingming Festival" in 2018, a flower shop in Yibin purchased some chrysanthemums for 1000 yuan, which were quickly sold out. Then, they purchased a second batch of flowers for 2500 yuan. It is known that the quantity of the second batch of flowers purchased is twice the quantity of the first batch, and the cost price of each flower in the second batch is 0.5 yuan more than that of the first batch.  
$(1)$ What is the cost price of each bouquet in the first batch of flowers?  
$(2)$ If the first batch of chrysanthemums is sold at a price of 3 yuan to ensure that the total profit is not less than 1500 yuan (without considering other factors), what is the minimum selling price per flower for the second batch?

Present the answer in LaTex format: \boxed{Your answer}
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