
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
Suppose a cargo truck travels at a constant speed of $x$ kilometers per hour and covers a distance of 1300 kilometers, with a speed limit of $40 \leq x \leq 100$ (unit: kilometers/hour) according to traffic regulations. Assuming the price of gasoline is 7 yuan per liter, and the truck consumes $(2 + \frac{x^2}{360})$ liters of gasoline per hour, while the driver's wage is 30 yuan per hour.

(1) Find the expression for the total cost of travel $y$ as a function of $x$.
(2) For what value of $x$ is the total cost of travel the lowest, and what is the value of the lowest cost (rounded to 0.01)?

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