
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 store sells a certain type of food, purchasing it wholesale from a food factory every day and selling it the same day. It is known that the purchase price is 4.2 yuan per kilogram, and the selling price is 6 yuan per kilogram. The food that is not sold on the same day can be returned to the food factory at a price of 1.2 yuan per kilogram. According to past sales statistics, the store can sell 10 kilograms of this food on 10 days of an average month (calculated as 30 days), and can only sell 6 kilograms on 20 days. The food factory requires the store to purchase the same amount of this food every day. How many kilograms of this food should the store purchase daily from the food factory to maximize the monthly profit? What is the maximum profit in yuan?

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