
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 shop owner sells a certain product. The cost price of the product is $200$ yuan, and the marked price is $360$ yuan. During a promotion, the owner wants to sell the product at a discounted price while still making a profit of at least $20\%$ above the cost price. What is the maximum amount by which the shop owner can discount the product?

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