
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 specialty store purchased a batch of goods at a cost of 16 yuan per item. After selling for a while, in order to gain more profit, the store decided to increase the selling price. It was found through experimentation that if each item is sold at 20 yuan, 360 items can be sold per month; if the price increases by 1 yuan per item, 10 fewer items are sold per day. Let the selling price be x (yuan per item) and the daily sales volume be y (items), and the daily total profit be W yuan. The Price Bureau stipulates that the selling price of such goods must not be lower than the cost price, nor higher than three times the cost price, i.e., $16 \leq x \leq 48$.
(Profit = selling price - cost price, or total profit = profit per item × total sales volume)
(1) When the selling price is 25 yuan per item, the daily sales volume is     items, and the daily total profit is     yuan;
(2) Find the relationship between y and x;
(3) Find the relationship between W and x, and ask at what selling price the maximum daily profit can be obtained? What is the maximum daily profit?
(4) In order to reduce inventory, under the premise of ensuring a daily profit of 3000 yuan, at what price per item should the store sell?

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