
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
Huaxin Company purchased a batch of raw materials and planned to transport them using two types of trucks, type A and type B. When each truck is fully loaded, it is known that 10 type A trucks and 20 type B trucks can carry 550 units of raw materials; 24 type A trucks and 60 type B trucks can carry 1500 units of raw materials.<br/>$(1)$ Find out how many units of raw materials each type A and type B truck can carry respectively.<br/>$(2)$ After budgeting, Huaxin Company needs to transport this batch of raw materials without exceeding 1245 units. They plan to deploy a total of 70 trucks of type A and type B, with the number of type B trucks not exceeding three times the number of type A trucks. What are the possible deployment plans for Huaxin Company to transport this batch of raw materials?

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