
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
(12 points) A department store sells a batch of branded shirts, averaging 20 pieces sold per day, with a profit of 40 yuan per piece. To expand sales, increase profits, and reduce inventory as soon as possible, the store decides to take appropriate price reduction measures. After investigation, it was found that if the price of each shirt is reduced by 1 yuan, the store can sell an average of 2 more pieces per day. Therefore, the store manager decides to reduce the price of each shirt by 15 yuan. Is the manager's decision correct?

(Write out detailed explanations or calculation steps)

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