
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 for $600$ tons per year. Each purchase is $x$ tons, with a shipping cost of $60,000 per purchase. The total storage cost for a year is $4x$ thousand yuan. In order to minimize the sum of the total shipping cost and total storage cost for a year, the value of $x$ is ____.

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