
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
To sell 500 items at a price of $50 each, which were purchased at a unit price of $40, it is known that for every $1 increase in the selling price of the item, the sales volume decreases by 10. The question is, in order to earn a profit of $8000 while keeping the cost price below $10000, what should be the selling price? How many items should be purchased?

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