
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
John runs a bookstore and sells the novel "Seeking Sarah" under the following pricing scheme: 
\[ P(m) = \left\{ 
\begin{matrix}
15m & \text{if } 1 \le m \le 20 \\
14m & \text{if } 21 \le m \le 40 \\
13m & \text{if } 41 \le m \end{matrix} \right. \]
where $m$ is the number of books ordered and $P(m)$ is the cost in dollars of $m$ books. Notice that buying 21 or 41 books might be cheaper than buying just below these quantities. Determine how many values of $m$ make it cheaper to buy more than $m$ books compared to buying exactly $m$ books.
A) 2
B) 3
C) 4
D) 5
E) 6

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