
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
To increase family income, someone bought a truck for 490,000 yuan at the beginning of the year for long-distance transportation. The expenses for the first year were 60,000 yuan, and it increased by 20,000 yuan each subsequent year, while the annual transportation income was 250,000 yuan;  
(1) Find the function relationship of the owner's profit $f(n)$ with respect to the number of years $n$, and determine in which year the profit exceeds 150,000 yuan for the first time; (Note: Profit = Total Income - Total Cost)  
(2) After several years, the owner plans to dispose of this truck, with two options:  
Option 1: Sell the truck for 40,000 yuan when the profit $f(n)$ is at its maximum;  
Option 2: Sell the truck for 130,000 yuan when the average annual profit is at its maximum;  
Please use your knowledge to help him make a decision.

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