
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
With the further development of our country's economy and technology, the mechanization level of agricultural production in China is getting higher and higher. The previous household contract responsibility system is not very suitable for mechanized planting. Now, in many areas, a new production model has emerged. Many farmers lease their contracted land to large grain growers or new rural cooperatives, creating large farmlands. These farmers then become workers in the cooperatives, which is more conducive to mechanized planting. In a certain place in Henan Province, a large grain grower planted 360 mu of high-quality wheat last year, with an average income of 440 yuan per mu. This year, he plans to contract more land. It is estimated that for the original 360 mu of wheat planted last year, the income per mu remains the same. For the newly leased land, for each additional mu, the average income per mu decreases by 2 yuan compared to last year. (1 mu = 0.06666667 hectares)  
(1) How many mu of land should the large grower lease this year to achieve a total income of 182,400 yuan?  
(2) How many mu of land should the large grower lease this year to maximize the total income, and what is the maximum income?

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