
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 certain store purchases a batch of goods from the manufacturer at a price of $30$ yuan per item. After market research, it is found that if the selling price of each item is $a$ yuan, then $(112-2a)$ items can be sold. However, the government restricts the price increase of each item to not exceed $40\%$ of the purchase price. If the store plans to earn $330$ yuan, what is the selling price of each item?

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