
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 14th National Games in 2021 will hold the opening and closing ceremonies in the beautiful ancient city of Xi'an. In order to build an ecological Xi'an and create the most beautiful National Games, a certain section of road requires a total of 320 trees, including  Chinese scholar trees and white pines. The number of Chinese scholar trees is 80 more than the number of white pines.<br/>$(1)$ Find out how many Chinese scholar trees and white pines are needed respectively.<br/>$(2)$ It is planned to rent a total of 8 trucks of two types, A and B, to transport all these Chinese scholar trees and white pines to the road. It is known that each type A truck can carry up to 40 Chinese scholar trees or 10 white pines, and each type B truck can carry up to 20 Chinese scholar trees or white pines. If each type A truck costs $400 to rent and each type B truck costs $360, which option should be chosen to minimize the transportation cost? What is the minimum transportation cost?

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