
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
Factory A can process 55 tons of waste per hour at a cost of 550 yuan, while Factory B can process 45 tons of waste per hour at a cost of 495 yuan. If the city generates 700 tons of domestic waste per day, determine the minimum number of hours for which Factory A must operate per day, with the daily cost of waste processing not exceeding 7260 yuan.

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