
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 cost of producing each item is inversely proportional to the square root of the number of items produced. The cost of producing ten items is  $ \$ 2100 $. If items sell for $  \ $30$  each, how many items need to be sold so that the producers break even?

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