
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 vehicle manufacturing plant has introduced a new automobile assembly line. The monthly sales volume $Q(x)$ (in units) and the unit price $x$ (in ten thousand yuan) of the cars produced by this assembly line have the following relationship: $Q(x) = 220 - 2x$. Let the monthly production value $y$ (in yuan) of the cars produced by this assembly line be denoted as $y = f(x) = xQ(x)$. The manufacturer hopes that the production value of this assembly line will not be lower than 60 million yuan. How should the unit price of the cars be determined?

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