
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
A certain merchant predicted that a certain product would sell well in the market, so he purchased a batch of this product for $4000. After the product was launched, it was indeed in short supply. The merchant then purchased a second batch of this product for $8800. The quantity purchased in the second batch was twice the quantity purchased in the first batch, but the unit price was $4 higher. What are the quantities of the two batches of products purchased by the merchant?

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