
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 scenic shop purchased a batch of souvenirs at a wholesale price of $2$ yuan each. After investigation, it was found that if each item is priced at $3$ yuan, 500 items can be sold per day. Moreover, for each $0.1$ yuan increase in the price, the sales volume will decrease by 10 items. According to the regulations, the selling price of souvenirs cannot exceed $2.5$ times the wholesale price.

1. When each souvenir is priced at $3.5$ yuan, the shop can sell&nbsp;<u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</u>&nbsp;items per day.
2. If the shop wants to achieve a daily sales profit of $800$ yuan, how should it price the souvenirs?

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