
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 store sells product A at a cost price of $2$ yuan/piece. Suppose the daily sales volume $y$ (in thousands of pieces) of product A and the selling price $x$ (in yuan/piece) satisfy the relationship $y= \frac {10}{x-2}+4(x-6)^{2}$, where $2 < x < 6$.
(1) If the selling price of product A is $4$ yuan/piece, find the daily profit obtained by the store for selling product A;
(2) Determine the value of the selling price $x$ of product A to maximize the daily profit obtained by the store for selling product A (retain 1 decimal place).

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