
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
An item is sold for $S$ dollars, with a cost of $C$ dollars, and a profit margin $M$ defined by the relationship $M = \frac{1}{3}S$. If the profit margin is also known to be $\frac{1}{n}C$, determine the value of $n$.
A) $n = 1$
B) $n = 2$
C) $n = 3$
D) $n = 4$

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