
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 mask production factory had an average daily production of 20,000 masks in January. At the end of January, due to the sudden outbreak of the new coronavirus pneumonia epidemic, the market demand for masks surged. In order to meet the market demand, the factory decided to increase its production capacity starting from February, and the average daily production in March reached 24,200 masks.

(1) Calculate the monthly average growth rate of mask production.

(2) According to this growth rate, what is the estimated average daily production in April?

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