
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
To strengthen cultural confidence and shape the soul of rural revitalization. In order to develop the tourism economy, a rural enterprise has produced a batch of handicrafts with the theme of "beautiful countryside" for sale. The total production cost of the first batch of handicrafts is $3000. After being put on the market, the handicrafts are in short supply. The enterprise then spent $9600 to produce a second batch of the same handicrafts, with the quantity being three times that of the first batch. However, due to the increase in the price of raw materials, the cost of each item in the second batch of handicrafts increased by $1. How much is the cost of each item in the second batch of handicrafts produced by the enterprise?

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