
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 bookstore is deciding the ideal price $p$ to charge for a new novel. Market research shows that if the price is $p$ dollars (with $p \le 30$), then the monthly sales will be $150 - 6p$. The bookstore also knows that to break even, they need to sell at least 40 books each month. What price should the store set to maximize its revenue, assuming it also wants to meet its break-even requirement?

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