
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 merchant bought $n$ radios for $d$ dollars in total, where $d$ is a positive integer. The merchant donated three radios to a school carnival, calculating the donation at a third of their original purchase cost. For the remaining radios, he increased the selling price to obtain a profit of $12 per radio. If the total profit made by the merchant was $108, determine the minimum possible value of $n$ using the information given.
A) 11
B) 12
C) 13
D) 14
E) 15

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