
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 fruit company needs to transport 60 tons of fruit from location $A$ to location $B$ using either a trucking company or a train freight station. It is known that both the truck and the train will travel a distance of $x$ kilometers from $A$ to $B$. Both transportation units will charge a refrigeration fee of $5$ yuan per ton per hour during transportation. Other fees and relevant transportation information are listed in the table below:

| Transportation Unit | Transport Speed (km/h) | Freight Rate (yuan/(ton·km)) | Refrigeration Fee (yuan/(ton·hour)) | Loading and Unloading Total Cost (yuan) |
|---------------------|------------------------|-------------------------------|------------------------------------|---------------------------------------|
| Trucking Company    | 75                     | 1.5                           | 5                                  | 4000                                  |
| Train Freight Station| 100                    | 1.3                           | 5                                  | 6600                                  |

$(1)$ Express the total cost (total freight cost = freight cost + refrigeration fee + loading and unloading total cost) that the trucking company and the train freight station will charge for transporting this batch of fruit in terms of $x$. <br/> $(2)$ Which transportation unit should the fruit company choose to minimize the cost of transporting the fruit?

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