
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 a heavily trafficked period, the relationship between the traffic flow $y$ (in thousand vehicles per hour) and the average speed of vehicles $v$ (in kilometers per hour) on a section of the highway is given by the function
\[ y = \frac{920v}{v^2 + 3v + 1600} \quad (v > 0). \]

(1) During this period, at what average speed $v$ will the traffic flow be maximized? What is the maximum traffic flow? (Round to the nearest 0.1 thousand vehicles per hour)

(2) To maintain a traffic flow greater than 10 thousand vehicles per hour, within what range should the average speed of vehicles be?

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