
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 supermarket sells cherries. The cost price is 15 yuan/kg. If they are sold at 20 yuan/kg, 250 kg can be sold per day. If they are sold at 25 yuan/kg, a profit of 2000 yuan can be made per day. It is found that the daily sales volume y (kg) and the selling price x (yuan/kg) have a linear relationship.

1. Find the linear relationship between y and x.
2. If the selling price should not exceed 28 yuan/kg, what price should be set to maximize the daily profit from selling cherries? What is the maximum profit?

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