
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
Daniel notices that the popularity of a specific brand of a blender (measured in number of sales) is inversely proportional to its cost. When a blender is priced at $\$500$, exactly 15 customers purchase it. If the store decides to increase the price of the blender to $\$1000$ but offers a seasonal discount of 10% off the new price, how many units can Daniel expect to sell under this new pricing scheme according to his observation?

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