
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
Given that the distance between cities A and B is 120 km, traffic regulations stipulate that the speed limit on the highway between A and B should be between 50 and 100 km/h. Assuming the price of gasoline is 6 yuan per liter, the fuel consumption rate of a car when traveling at a speed of $x$ km/h is $$(4+ \frac {x^{2}}{360})L/h$$. If a driver's wage is 36 yuan per hour, what is the most economical driving speed? If other costs are not considered, what is the total cost of this trip?

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