
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. The preparation cost for each batch is 800 yuan. If each batch produces $x$ items, then the average storage time is $\frac{x}{8}$ days, and the storage cost per item per day is 1 yuan. To minimize the sum of the preparation cost and storage cost per item, how many items should be produced in each batch?

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