
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
Solve the fractional equation application problem.

On the eve of Children's Day, a certain shopping mall purchased a certain electric toy for $7200. Due to good sales, after a period of time, the mall purchased the same toy again for $14800. The quantity purchased the second time was twice the quantity purchased the first time, but the price per item was $2 more expensive.

(1) Find out how many items of this toy the shopping mall purchased the first time.

(2) Assuming that the toys purchased by the shopping mall twice are sold at the same retail price, and the remaining 80 toys are sold at a 40% discount on the retail price, if all the toys purchased twice are sold out and the profit is not less than $4800, what is the minimum retail price per item?

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