
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 certain school plans to beautify an area of $1800m^{2}$ on the campus and arranges for two teams, Team A and Team B, to complete the task. It is known that Team A can complete the greening area twice as fast as Team B. Moreover, when greening an area of $400m^{2}$ independently, Team A takes $4$ days less than Team B.  
$(1)$ Find out how many $m^{2}$ each team can complete greening per day.  
$(2)$ If the school needs to pay Team A $0.4$ million yuan per day for greening and Team B $0.25$ million yuan per day, in order to ensure that the total cost of greening does not exceed $8$ million yuan, how many days should Team A work at least?

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