
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 quickly, the mall decides to implement appropriate markdowns. It was found that for every 1 yuan reduction in price per unit, the mall could sell an additional 2 units per day on average. Let the price reduction per unit be $x$ yuan. Based on this pattern, please answer:

(1) The increase in the daily sales volume of the mall is ___ units, and the profit per unit is ___ yuan (expressed as an algebraic expression containing $x$).

(2) Assuming the above conditions remain unchanged and sales are normal, by how much should the price of each unit be reduced for the mall's daily profit to reach 2100 yuan?

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