
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
Qinhu Wetland Scenic Area features a special tourist attraction: water yachting. For each visitor, the scenic area can profit 10 yuan per person, with a daily visitor count of 500 people. To increase profits, the scenic area plans to raise ticket prices. It has been found through surveys that, with other conditions unchanged, every 1 yuan increase in ticket price results in a loss of 20 visitors.  
(1) To ensure a daily profit of 6000 yuan while also offering tourists a good deal, by how much should the ticket price be increased?  
(2) From a purely economic perspective, by how much should the ticket price be increased to maximize the profit of the project?

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