
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 noticed that the popularity of toasters at his electronics store follows an inverse relationship between cost and number of sales. When a toaster is priced at \$300, 20 customers purchase it. Relying on this data and Daniel’s inverse law:
1. How many would buy the toaster if it were priced at \$600?
2. What would be the price of the toaster if Daniel wants exactly 15 customers to buy it?

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