
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 certain chemical plant uses two types of robots, $A$ and $B$, to transport chemical raw materials in order to create a safe working environment for its employees. Robot $A$ can transport $30$ kilograms more per hour than robot $B$. It takes the same amount of time for robot $A$ to transport $1500$ kilograms as it does for robot $B$ to transport $1000$ kilograms.  
$(1)$ Find out how many kilograms of chemical raw materials each robot $A$ and $B$ can transport per hour.  
$(2)$ If the price of each robot $A$ and $B$ is $50,000$ yuan and $30,000$ yuan respectively, and the chemical plant needs to purchase a total of $12$ robots of types $A$ and $B$, with a total budget of $450,000 yuan, how many robots of type $A$ can the plant purchase at most?

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