
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
A quarry wants to sell a large pile of gravel. At full price, the gravel would sell for  $3200$  dollars. But during the first week the quarry only sells  $60\%$  of the gravel at full price. The following week the quarry drops the price by  $10\%$ , and, again, it sells  $60\%$  of the remaining gravel. Each week, thereafter, the quarry reduces the price by another  $10\%$  and sells  $60\%$  of the remaining gravel. This continues until there is only a handful of gravel left. How many dollars does the quarry collect for the sale of all its gravel?

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