
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 an unforeseen event, the probability of it occurring without any preventive measures is 0.3, resulting in a loss of 4 million yuan. There are two independent preventive measures available, A and B. The costs of implementing measure A or measure B exclusively are 0.45 million yuan and 0.3 million yuan, respectively, and the probabilities of the event not occurring after implementing the respective measures are 0.9 and 0.85. The preventive strategy can involve using either measure separately, both together, or none (Total cost = Cost of preventive measures + Expected loss due to the event occurring).
(1) Calculate the total cost without taking any measures.
(2) Determine the preventive plan that minimizes total cost.

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