
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
Consider a rectangular array of numbers with $50$ rows and $100$ columns. Andy computes the sum of the numbers in each row and then multiplies each row's sum by $\alpha=2$. The average of his $50$ modified sums is $A$. Bethany adds the numbers in each column. The average of her $100$ sums is $B$. Determine the value of $\frac{A}{B}$.
A) 3
B) 4
C) 5
D) 6

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