
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]

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[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

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(2013•Hubei) Assume the number of passengers traveling from place A to place B per day, $X$, follows a normal distribution $N(800, 50^2)$. Let $p_0$ denote the probability that the number of passengers traveling from place A to place B in a day does not exceed 900.

(1) Find the value of $p_0$.

(Reference data: If $X \sim N(\mu, \sigma^2)$, then $P(\mu-\sigma < X \leq \mu+\sigma) = 0.6826$, $P(\mu-2\sigma < X \leq \mu+2\sigma) = 0.9544$, $P(\mu-3\sigma < X \leq \mu+3\sigma) = 0.9974$.)

(2) A passenger transport company uses two types of vehicles, A and B, for long-distance passenger transport services between places A and B. Each vehicle makes one round trip per day. The passenger capacities of vehicles A and B are 36 and 60, respectively, and the operating costs from place A to place B are 1600 yuan/vehicle and 2400 yuan/vehicle, respectively. The company plans to form a passenger transport fleet of no more than 21 vehicles, with the number of type B vehicles not exceeding the number of type A vehicles by more than 7. If the company wants to transport all passengers from place A to place B each day with a probability of at least $p_0$, and minimize the operating cost from place A to place B, how many vehicles of type A and type B should be equipped?

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