
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 publishing company sets the price for a bestseller as follows:
$$
C(n)=\left\{\begin{array}{l}
12n, \text{ if } 1 \leq n \leq 24; \\
11n, \text{ if } 25 \leq n \leq 48; \\
10n, \text{ if } n \geq 49.
\end{array}\right.
$$

Here, \(n\) represents the number of books ordered, and \(C(n)\) is the amount of money paid for ordering \(n\) books (in yuan).
1. For how many values of \(n\), would ordering more than \(n\) books cost less than ordering exactly \(n\) books?
2. If the cost of one book is 5 yuan, and there are two people buying books, with each buying at least 1 book and a total of 60 books, what is the minimum and the maximum amount of money the publishing company can earn?

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