
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 certain company sells a product, which costs 8 RMB per unit, at 10 RMB per unit, and they can sell 100 units per day. For each 1 RMB increase in the selling price, the selling quantity decreases by 10 units.
(1) Calculate the daily profit when the selling price is 13 RMB.
(2) Determine the selling price that would maximize the daily profit and calculate the maximum profit.

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