
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

In the Sidorov family, there are 3 people: the father, mother, and son. The father works as a programmer with an hourly rate of 1500 rubles. The mother is a home-based hairdresser and charges 1200 rubles per haircut, which takes one and a half hours. The son works part-time as a math tutor and earns 450 rubles per academic hour (45 minutes). Each day, the family needs to cook meals, walk the dog, and go shopping. The mother spends 2 hours on cooking, the father 1 hour, and the son 4 hours. Walking the dog takes 1 hour for any family member. Shopping takes the father 1 hour, the mother 2 hours, and the son 3 hours. Additionally, each family member sleeps for 8 hours and spends another 8 hours on rest and personal activities every day.

What is the maximum amount of money the family can earn in one day?

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