
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
The management department of a seafood market plans to build a wholesale greenhouse with an area of 2400m<sup>2</sup>, containing a total of 80 storefronts of type A and type B. The average area of each type A storefront is 28m<sup>2</sup> with a monthly rent of 400 yuan; each type B storefront has an average area of 20m<sup>2</sup> with a monthly rent of 360 yuan. The total area of all storefronts must be at least 80% but no more than 85% of the total greenhouse area.  
(1) Determine the number of type A storefronts;  
(2) After understanding the leasing intentions of the business owners, it is known that the leasing rate of type A storefronts is 75%, and that of type B storefronts is 90%. To maximize the monthly rental income, how many type A storefronts should be built?

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