
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
Carl encounters three types of rocks in a different section of the cave: $6$-pound rocks worth $\$$20 each, $3$-pound rocks worth $\$$9 each, and $2$-pound rocks worth $\$$4 each. Given that Carl can carry up to $24$ pounds and there are at least $10$ of each type available, find the maximum value, in dollars, of the rocks he can carry out of the cave.

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