
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 factory is recruiting a total of 120 workers for two types of jobs, A and B. The monthly salaries for jobs A and B are 800 yuan and 1000 yuan, respectively. It is required that the number of workers for job B is not less than three times the number of workers for job A. How many workers for job A should be hired to minimize the total monthly salary, and what is the minimum total monthly salary?

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