
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
(12 points) With a budget of 2000 yuan to purchase tables at 50 yuan each and chairs at 20 yuan each, the goal is to maximize the total number of tables and chairs. However, the number of chairs should not be less than the number of tables and should not exceed 1.5 times the number of tables. How many tables and chairs should be purchased?

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