
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
During a social practice activity at a supermarket, three eighth-grade students, Xiao Li, Xiao Qiang, and Xiao Hong, participated in the sales of a certain type of fruit. It is known that the purchase price of the fruit is 8 yuan/kg. Below is their conversation after the activity ended.  
Xiao Li: If it is sold at 10 yuan/kg, then 300 kg can be sold per day.  
Xiao Qiang: If it is sold at 13 yuan/kg, then a profit of 750 yuan can be made per day.  
Xiao Hong: Through investigation and verification, I found that there is a linear relationship between the daily sales volume y (kg) and the selling price x (yuan).  
(1) Find the function relationship between y (kg) and x (yuan) (x > 0);  
(2) Let the daily profit of the supermarket from selling this fruit be W yuan, at what selling price can the maximum daily profit be obtained? What is the maximum profit in yuan? [Profit = Sales volume × (Selling price - Purchase price)]

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