
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
The income of farmers consists of wage income and other income. In 2003, the average income of farmers in a certain region was 3,150 yuan (of which wage income was 1,800 yuan, and other income was 1,350 yuan). It is expected that in the next 2 years starting from 2004, the wage income of farmers will grow at an annual rate of 6%, and other income will increase by 160 yuan per year. Based on the above data, the average income of farmers in this region in 2005 will be between  
a. 3,200 yuan ~ 3,400 yuan  
b. 3,400 yuan ~ 3,600 yuan  
c. 3,600 yuan ~ 3,800 yuan  
d. 3,800 yuan ~ 4,000 yuan

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