
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
In the "National Civilized County Town" campaign launched in our county last year, a community plans to green a vacant land with an area of $3600m^{2}$, which is to be completed by two construction teams, Team A and Team B, through bidding. It is known that Team A can green an area 1.8 times larger than Team B per day. If each team independently completes the greening of a 450 $m^{2}$ area, Team A takes 4 days less than Team B. The greening cost for Team A is $1.05$ million per day, and for Team B is $0.5$ million per day.<br/>$(1)$ Find out how much area (in $m^{2}$) each team can green per day;<br/>$(2)$ Due to site constraints, the two construction teams cannot green the construction site at the same time. Now, Team A will green for a certain number of days first, and the remaining greening work will be completed by Team B. The total construction period should not exceed 48 days. How should Team A and Team B arrange their greening days to minimize the total greening cost, and what is the minimum cost in million yuan?

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