
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
To protect the environment and develop a low-carbon economy, all recording paper, notebooks, environmental bags, and handbags used in the national "Two Sessions" in 2010 were stone paper products made from limestone as raw material. It is known that the monthly production of stone paper products of a certain unit is at least 300 tons and at most 500 tons. The relationship between the monthly cost y (in yuan) and the monthly production x (in tons) can be approximately expressed by the function: $y= \frac {1}{2}x^{2}-200x+80000$. In order to make the average cost per ton the lowest, the monthly production of the unit should be \_\_\_\_\_\_ tons.

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