
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 store purchases seasonal goods at a price of 80 yuan per item, totaling 1000 items (unsold items will become waste). Market research indicates that when the price per item is set at 100 yuan, all items will be sold out. Based on this, for every 1 yuan increase in the selling price, the sales volume decreases by 5 items. To maximize profit, please determine the reasonable selling price and calculate the profit at this price.

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