
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 Dragon Boat Festival, a fruit supermarket investigated the sales of a certain fruit. The following is a conversation between the investigators:<br/> Xiao Wang: The cost price of this fruit is $22$ yuan per kilogram;<br/> Xiao Li: When the selling price is $38$ yuan per kilogram, $160$ kilograms can be sold per day; if the price is reduced by $1$ yuan per kilogram, the daily sales volume will increase by $40$ kilograms.<br/> Based on their conversation, solve the following problem: The supermarket needs to make a daily profit of $3640$ yuan from sales, and also wants to give customers as much benefit as possible. What is the selling price of this fruit per kilogram?

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