
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
Fairview Publishing prices its novel "Seas and Shadows" as follows: 
\[ C(n) = \left\{ \begin{matrix} 15n & \text{if } 1 \le n \le 30 \\ 13n & \text{if } 31 \le n \le 60 \\ 11n & \text{if } 61 \le n \end{matrix} \right. \]
where $n$ represents the number of books ordered, and $C(n)$ denotes the cost in dollars for $n$ books. Calculate for how many values of $n$ it becomes cheaper to buy a greater number of books than exactly $n$ books.
A) 2
B) 3
C) 4
D) 5
E) 6

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