
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
After long-term observation, it was found that the relationship between the traffic flow of cars $y$ (in thousands of vehicles per hour) and the average speed of cars $v$ (in km/h) on a certain road section during busy traffic hours is $y=\frac{920v}{v^2+3v+1600} (v>0)$.

1. During this period, when is the average speed of cars $v$ so that the traffic flow is at its maximum? What is the maximum traffic flow? (Round to 0.1 thousand vehicles per hour)
2. If it is required that the traffic flow exceeds 10 thousand vehicles per hour during this period, what should be the range of the average speed of cars?

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