
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 factory transports a certain product at a rate of $x$ kilograms per hour (production conditions require $1 \leq x \leq 10$), and the profit obtained per hour is $100(5x + 1 - \frac{3}{x})$ yuan.

(1) Write down the expression for the profit obtained from producing this product for $t$ ($t \geq 0$) hours.
(2) To ensure the profit from producing this product for 2 hours is not less than 3000 yuan, find the range of values for $x$.

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