
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 statistical table shows that the fuel consumption per hour $y$ (in liters) of a certain car model during constant speed driving is related to the driving speed $x$ (in kilometers per hour) and can be represented by the function $y = \frac{1}{128000}x^3 - \frac{3}{80}x + 8 (0 < x \leqslant 120)$. It is known that the distance between cities A and B is 100 kilometers.

(1) How much fuel is consumed when the car drives at a constant speed of 40 kilometers per hour from city A to city B?

(2) At what speed should the car drive at a constant speed from city A to city B to consume the least amount of fuel? What is the minimum fuel consumption?

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