
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
Vegetable vendor Lao Wang operated cabbage and broccoli in the past two days.

1. Yesterday, the purchase price and selling price of cabbage and broccoli are shown in the table. Lao Wang wholesaled cabbage and broccoli for a total of 200 catties for $600. How much money can Lao Wang earn in total after selling out on that day?

|          | Cabbage | Broccoli |
|----------|---------|----------|
| Purchase Price (yuan/catty) | $2.8$ | $3.2$ |
| Selling Price (yuan/catty) | $4$ | $4.5$ |

2. Today, with the purchase price unchanged, Lao Wang still wholesaled cabbage and broccoli for a total of 200 catties for $600. However, during transportation, 10% of the cabbage was damaged, while the broccoli was not damaged and was sold at yesterday's selling price. In order to earn no less money than yesterday after selling out on that day, please help Lao Wang calculate how to set the selling price for cabbage? (Round to $0.1$ yuan)

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