
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
Explore the completion of the task based on the following materials.

如何合理设计生产计划?

| 素材$1$ | 某汽车制造公司计划生产$A$、$B$两种新型汽车投放到市场销售.已知$A$型汽车每辆成本$30$万元,售价$35$万元；$B$型汽车每辆成本$40$万元,售价$50$万元. |
|---------|------------------------------------------------------------------------------------------------------------|
| 素材$2$ | 若生产成本不超过$1550$万元.                                                                                  |
| 任务一  | 若生产了$10$辆$A$型汽车,则最多生产______辆$B$型汽车.                                                     |
| 任务二  | 若一共生产$40$辆汽车,总利润不低于$365$万元,则有哪几种生产方案?生产利润最高多少?                         |

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