
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 Sunshine Clothing Store can sell an average of 40 shirts per day, with a profit of $40$ yuan per shirt. In order to increase sales and profits, the store has implemented a price reduction measure. After a period of sales, it was found that for every decrease of $0.5$ yuan in the selling price, an average of 1 more shirt can be sold per day.
$(1)$ When the price of each item is reduced by how many yuan, the daily sales profit of the store is $1750$ yuan?
$(2)$ Can the daily sales profit of the store reach $1900$ yuan? Please explain the reason.

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