
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
Economic order quantity model is the most commonly used ordering method for most factories and enterprises. In this model, the demand for a certain material in a unit of time is a constant, and after a period of time, the inventory level drops to zero. At this point, an order is placed and the goods arrive, starting the next storage cycle. This model is suitable for batch interval procurement and storage problems that do not allow stockouts. Specifically, the annual storage cost $T$ (in yuan) as a function of each order quantity $x$ (in units) is given by $T(x) = \frac{Bx}{2} + \frac{AC}{x}$, where $A$ is the annual demand, $B$ is the annual storage cost per unit of material, and $C$ is the cost per order. A chemical plant needs methanol as a raw material, with an annual demand of 6000 tons, a storage cost of 120 yuan per ton per year, and an order cost of 2500 yuan.

1. If the chemical plant orders 300 tons of methanol each time, find the annual storage cost.
2. How many tons of methanol should be ordered each time to minimize the annual storage cost for the chemical plant? What is the minimum cost?

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