
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
To implement the work deployment of "Beautiful Fushun", the municipal government plans to renovate the urban roads, and arranges two construction teams, Team A and Team B, to complete the task. It is known that the work efficiency of Team A is $\frac{3}{2}$ times that of Team B. Team A takes 3 days less than Team B to renovate a road of 360 meters of length.<br/>$(1)$ How long is the length of road that each construction team can renovate per day?<br/>$(2)$ If Team A costs 70,000 yuan per day and Team B costs 50,000 yuan per day, and the total cost of renovating a road of 1200 meters should not exceed 1,450,000 yuan, how many days at least should Team A work?

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