
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
Jessica works at a home appliance store and claims that the popularity of a blender, measured in number of sales, is influenced by both its cost and its energy efficiency rating. The number of customers who buy the blender (p) is inversely proportional to its cost (c) and directly proportional to its energy efficiency rating (e). If a blender costing $400 with an efficiency rating of 10 units is bought by 50 customers, how many customers would buy a blender costing $800 with an efficiency rating of 20 units?

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