
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
The student cafeteria needs to purchase 20 baskets of potatoes, with a standard weight of 50 kilograms per basket. The excess or shortfall is represented by positive or negative values, recorded as follows:

| Difference from Standard Weight (kg) | -3   | -2   | -1.5 | 0    | 2    | 2.5  |
|--------------------------------------|------|------|------|------|------|------|
| Number of Baskets                    | 1    | 4    | 2    | 3    | 5    | 5    |

$(1)$ In the 20 baskets of potatoes, how much lighter is the lightest basket compared to the heaviest basket?<br/>
$(2)$ Compared to the standard weight, how many kilograms do the 20 baskets of potatoes exceed or fall short of in total?<br/>
$(3)$ If the selling price of potatoes is $0.8$ yuan per kilogram, how much money is needed to buy these 20 baskets of potatoes in total?

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