
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 supermarket purchased a batch of daily necessities at a unit price of $8$ yuan. If they are sold at $9$ yuan each, $20$ items can be sold per day. After investigation, it was found that for this type of daily necessities, for every $1$ yuan increase in the selling price, the sales volume decreases by $4$ items. What price should the selling price be set at in order to maximize the daily sales profit?

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