
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 seafood wholesaler purchased 1000 kg of crucian carp at a price of 10 yuan/kg and cultured them in a lake (assuming that the weight of each crucian carp remains unchanged during the culture period). According to market estimates, the market price of crucian carp after lake culture will increase by 1 yuan/kg for each day of culture. During the culture period (up to a maximum of 20 days), an average of 10 kg of crucian carp will suffer from oxygen deficiency and float to the surface daily. It is assumed that the oxygen-deficient floating crucian carp can be sold out at a price of 5 yuan/kg.
(1) If the seafood wholesaler cultured the crucian carp for x days and then sold all the living crucian carp along with the oxygen-deficient floating crucian carp, a profit of 8500 yuan could be made. How many days should the crucian carp be cultured?
(2) If various expenses of 450 yuan are incurred for each day during the culture period, what is the maximum profit that the seafood wholesaler can make?

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