
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 factory produces two types of eco-friendly shopping bags, A and B, with a total of 4500 bags per day. It is known that the cost of type A bags is 2 yuan/piece, with a selling price of 2.3 yuan/piece, while the cost of type B bags is 3 yuan/piece, with a selling price of 3.5 yuan/piece. Let x represent the number of type A bags produced daily, and y represent the total profit after all bags are sold.

1. Find the function expression of y in terms of x.
2. If the factory can invest a maximum of 10,000 yuan daily, what is the maximum profit that can be obtained after all bags are sold?

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