
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 one item of a certain product is 30 yuan. During a certain period, if it is sold for _x_ yuan per item, (200 - _x_) items can be sold. When the price of each item is set at \_\_\_\_\_\_\_\_ yuan, the profit is maximized.

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