
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
Deciders Publishing prices their new release "Finding Franzi" as follows: 

\[
C(n) = \begin{cases} 
15n & \text{if } 1 \leq n \leq 30 \\
13n & \text{if } 31 \leq n \leq 65 \\
11n & \text{if } 66 \leq n 
\end{cases}
\]

where \( n \) is the number of books ordered, and \( C(n) \) is the cost in dollars of \( n \) books. Calculate how many values of \( n \) make it cheaper to buy more than \( n \) books rather than exactly \( n \) books.
A) 4  
B) 5  
C) 6  
D) 7  
E) 8

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