
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 watermelon vendor purchases a batch of watermelons at a price of $2$ dollars per kilogram and sells them at $3$ dollars per kilogram. They can sell 200 kilograms per day. After conducting a survey, it was found that for every $0.1$ dollar decrease in the selling price, an additional 40 kilograms are sold per day. In addition, the vendor incurs a fixed cost of $24$ dollars per day. If the vendor wants to make a profit of $200$ dollars, what should be the selling price per kilogram?

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