
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 200 tons of a certain type of goods per year, divided into several equal purchases. The freight cost for each purchase is 20,000 yuan, and the annual storage cost is exactly equal to the number of tons purchased each time (in ten thousand yuan). To minimize the total annual freight and storage costs, the goods should be purchased \_\_\_\_\_\_\_\_ times.

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