
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 company purchases 400 tons of a certain type of goods every year, buying x tons each time. The freight cost is 40,000 yuan per trip, and the annual total storage cost is 40,000x yuan. To minimize the sum of the annual total freight and storage costs, how many tons, x, should be purchased each time?

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