
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 the quadratic function \( f(x, y) = 10x - 4x^2 + 2xy \) for real values of \( x \) and \( y \). If \( y = 3 \), find the maximum value of \( f(x, 3) \).
A) 10
B) 12
C) 14
D) 16
E) 18

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