
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 what price to charge for a newly released novel. After research, the store finds that if the book’s price is $p$ dollars (where $p \le 30$), then the number of books sold per month follows the formula $150 - 6p$ for $p \le 15$ and $120 - 4p$ for $p > 15$. Determine the price that should be charged to maximize revenue.

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