
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 dealer bought $n$ radios for $d_1$ dollars, where $d_1$ is a positive integer. He contributed three radios to a charity auction, selling them each at a third of their cost. The remaining radios he sold at a profit of $10$ for each radio. If the overall profit was $80$, what is the least possible value of $n$ given this situation?
A) 11  
B) 12  
C) 13  
D) 14  
E) 15

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