
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
Find the minimum value of the quotient of a three-digit number made from three different non-zero digits, where the middle digit is twice the first digit, divided by the sum of its digits.
A) 10.5
B) 10.7
C) 10.75
D) 10.9
E) 11.1

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