
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 survey on consumer product preferences gives the following percentage frequency distribution for preferences among five product types, but the total number of surveyed consumers, $N$, is unknown. What is the smallest possible value of $N$?
\[\begin{tabular}{c c}
\text{Product type} & \text{percent frequency} \\ \hline
A & 10\% \\
B & 30\% \\
C & 40\% \\
D & 10\% \\
E & 10\% \\ \hline
\ & 100\%
\end{tabular}\]
A) 5
B) 10
C) 15
D) 20 
E) 25

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