
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 survey shows that the sales volume of a small electrical appliance in a certain mall is an inverse proportion to the selling price (some data obtained from the survey are shown in the table below).

| Selling Price $x$ (in dollars per unit) | $200$ | $250$ | $400$ | $500$ |
|----------------------------------------|-------|-------|-------|-------|
| Sales Volume $y$ (units)               | $40$  | $32$  | $20$  | $16$  |

It is known that the cost price of the small electrical appliance is $180$ dollars per unit. In order to achieve a daily sales profit of $3500$ dollars, the selling price of the small electrical appliance should be ______ dollars.

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