
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
The empirical data of a shopping mall's sales of a certain product shows that the daily sales volume $y$ (in kilograms) of this product and the selling price $x$ (in yuan per kilogram) satisfy the relationship $y = \frac{m}{x - 3} + 8(x - 6)^2$, where $3 < x < 6$ and $m$ is a constant. It is known that when the selling price is 5 yuan per kilogram, 11 kilograms of the product can be sold daily.
(I) Find the value of $m$.
(II) If the cost price of the product is 3 yuan per kilogram, determine the value of the selling price $x$ to maximize the daily profit of the mall from selling this product.

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