
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
Given that a rancher has $800 to buy animals, each steer costs $30, and each cow costs $40, and the number of cows must be at least half the number of steers, determine the number of steers and cows the rancher can buy.

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