
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 the Spring Festival, electronic firecrackers become popular due to their safety and pollution-free nature. A certain store is selling a type of electronic firecracker with a cost of 80 yuan per box. Market research has found that the daily sales volume \( y \) (in boxes) is related to the selling price \( x \) (in yuan) as follows: \( y = -2x + 320 \) (where \( 80 \leq x \leq 160 \)). Assuming that the daily sales profit is \( w \) yuan,
1. Determine the functional relationship between \( w \) and \( x \);
2. At what selling price will the daily sales profit be maximized, and what is the maximum profit?
3. If the store wants to achieve a daily sales profit of 2400 yuan and sell quickly, what should the selling price be?

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