
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 shopping mall is selling a batch of brand-name shirts. Currently, they can sell an average of 20 shirts per day, with a profit of $40 per shirt. In order to reduce inventory quickly, the mall decides to take a price reduction measure. After investigation, it was found that if the selling price of these shirts is reduced by $1 each, the average daily sales would increase by 2 shirts. If the mall wants to make an average daily profit of $1200, how much should the price of each shirt be reduced by?

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