
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 certain factory produces a product with a fixed cost of 20 million yuan. For each unit of product produced, the cost increases by 10 million yuan. It is also known that the total revenue $k$ is a function of the number of units produced $Q$, where $k(Q) = 40Q - Q^2$. Then, the maximum value of the total profit $L(Q)$ is _______.

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