
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 shopping mall's sales experience with a certain product indicates that the daily sales volume $y$ (unit: yuan/kg) and the selling price $x$ (unit: yuan/kg) satisfy the relation $$y= \frac {m}{x-3}+8(x-6)^{2},$$ where $3<x<6$ and $m$ is a constant. It is known that when the selling price is 5 yuan/kg, 11 kilograms of the product can be sold per day.
(Ⅰ) Determine the value of $m$;
(Ⅱ) If the cost price of the product is 3 yuan/kg, find the value of the selling price $x$ that maximizes the daily profit for the shopping mall.

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