
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 workshop produces a certain product in batches, with a setup cost of $800$ yuan per batch. If $x$ products are produced per batch, the average storage time is $\frac{x}{8}$ days, and the storage cost per product per day is $1$ yuan. To minimize the sum of the average setup cost and storage cost per product, each batch should produce $\boxed{80}$ products.

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