
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 a certain type of goods totaling 600 tons per year, with each purchase being $x$ tons. The freight cost is 60,000 yuan per time, and the total annual storage cost is $4x$ ten thousand yuan. To minimize the sum of the total freight and storage costs for the year, the value of $x$ should be ______.

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