
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 company finds that if $x$ men working $x$ hours a day for $x$ days using machines of efficiency $e$, produce $x^2e$ articles. Determine the number of articles produced by $y$ men working $y+2$ hours a day for $y$ days using machines of efficiency $e$.
**A)** $\frac{ey^3}{x^2} \text{ articles}$  
**B)** $\frac{ex^2}{y} \text{ articles}$  
**C)** $\frac{ey(y^2 + 2y)}{x} \text{ articles}$  
**D)** $\frac{e(y+2)^3}{x^2} \text{ articles}$  
**E)** $\frac{ey(y^2 + 3y + 2)}{x} \text{ articles}$

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