
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 product in a shopping mall sells an average of 30 units per day, with a profit of 50 yuan per unit. To reduce inventory as quickly as possible, the mall decides to take appropriate price reduction measures. It has been found that for every 1 yuan reduction in price per unit, the mall can sell an additional 2 units per day.  
Find:  
(1) How much should the price of each product be reduced to achieve a daily profit of 2100 yuan for the mall?  
(2) How much should the price of each product be reduced to maximize the mall's daily profit?

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