
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 machine tool factory purchased a CNC machine for 980,000 yuan at the beginning of this year and put it into use immediately. It is planned that the maintenance cost for the first year will be 120,000 yuan, and from the second year onwards, the maintenance cost will increase by 40,000 yuan each year. After the machine is used, the total annual income is 500,000 yuan. Let the total profit after using the CNC machine for $x$ years be $y$ yuan.  
(1) Write the function relationship between $y$ and $x$;  
(2) Starting from which year does the machine begin to generate profit?  
(3) After using it for several years, there are two options for dealing with the machine: ① When the average annual profit reaches its maximum value, dispose of the machine at a price of 300,000 yuan; ② When the profit reaches its maximum value, dispose of the machine at a price of 120,000 yuan. Which option is more reasonable? Please explain your reasoning.

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