
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
In order to prevent the "Influenza A virus", a pharmaceutical company plans to purchase related drugs using two types of vehicles. It is known that using $2$ type $A$ vehicles and $1$ type $B$ vehicle to transport the drugs at once can carry $11$ tons, and using $1$ type $A$ vehicle and $2$ type $B$ vehicles to transport the drugs at once can carry $13$ tons.  
$(1)$ Find out how many tons can be carried by $1$ type $A$ vehicle and $1$ type $B$ vehicle when they are both fully loaded with drugs.  
$(2)$ The pharmaceutical company plans to purchase $33$ tons of drugs, and plans to rent $a$ type $A$ vehicles and $b$ type $B$ vehicles. The drugs will be transported at once, and each vehicle will be fully loaded. Please help the pharmaceutical company design a rental plan.

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