
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 certain online store sells a kind of children's clothing for \\(60\\) yuan each, and can sell \\(300\\) pieces per week. To promote sales, the store decides to reduce the price. Market research shows that for every \\(1\\) yuan price reduction, an additional \\(30\\) pieces can be sold per week. It is known that the cost price of this kind of children's clothing is \\(40\\) yuan per piece. Let the selling price per piece be \\(x\\) yuan, and the weekly sales volume be \\(y\\) pieces.

\\((1)\\) Find the function relationship between \\(y\\) and \\(x\\);

\\((2)\\) At what selling price per piece will the weekly sales profit be maximized, and what is the maximum profit?

\\((3)\\) If the online store wants to achieve a profit of no less than \\(6480\\) yuan per week, find the range of the selling price.

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