
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 buys a batch of small watermelons at a price of 2 yuan/kg and sells them at a price of 3 yuan/kg, with a daily sale of 200 kg. To promote sales, the vendor decides to reduce the price. It is found that for every 0.1 yuan/kg price reduction, an additional 40 kg can be sold each day. Additionally, the daily fixed costs such as rent amount to 24 yuan.
(1) To achieve a daily profit of 200 yuan, by how much should the vendor reduce the price per kilogram of small watermelons?
(2) To maximize daily profit, by how much should the vendor reduce the price per kilogram of small watermelons?

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