
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
The annual production cost per ton is the lowest when the derivative of the cost function with respect to the production is equal to zero. If the cost function is $y= \frac{x^{2}}{10}-30x+4000$, find the annual production when the cost per ton is the lowest.

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