
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
In Xianyou Yonghui Supermarket, the profit from selling Pomelos is 10 yuan per kilogram. They can sell 500 kilograms per day. Market research has found that, with a constant cost price, if the price per kilogram increases by 1 yuan, the daily sales volume will decrease by 20 kilograms. Now, the supermarket wants to ensure a daily profit of 6000 yuan while also offering the best deal to the customers. How much should the price per kilogram be increased?

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