
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 it should charge for a novel. After market analysis, the store discovers that if the book's price is $p$ dollars (where $p \le 22$), then the number of books sold per month can be given by $110-4p$. Additionally, there is a constant cost of $2$ dollars per book for stocking and distribution. What price should the store charge to maximize its profit?

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