
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 fishing company bought a fishing vessel for 980,000 yuan at the beginning of this year for fishing. The cost for the first year is 120,000 yuan, and from the second year onwards, the annual expenses, including maintenance costs, will increase by 40,000 yuan compared to the previous year. The annual total income from fishing is 500,000 yuan.
(1) After how many years will the total profit be the highest, and what is the maximum amount?
(2) After how many years will the annual average profit be the highest, and what is the maximum amount?

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