
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 purchased $n$ radios for $d$ dollars in total, where $d$ is a positive integer. He donates two radios at half their initial cost to a charity event. He sells the remaining radios for a $10 profit each. If the dealer ended up with a total profit of $100, find the least possible value of $n$.
A) 11  
B) 12  
C) 13  
D) 14  
E) 15

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